The calculated volumes (V) for vapor methanol at 300°C and 20 bar are as follows:
a) Using the ideal gas equation: V = 238.45 cm³/mol
b) Using the virial equation: V = -14.29 cm³/mol
c) Using the Van der Waals equation: V = -12492.03 cm³/mol
a) Ideal gas equation:
R is the universal gas constant, T is the temperature in Kelvin, and P is the pressure in bar.
V = (RT) / P = (8.314472 * 573.15) / 20 = 238.45 cm³/mol
b) Virial equation:
V = RT / (P + B) = (8.314472 * 573.15) / (20 - 600) = -14.29 cm³/mol
c) Van der Waals equation:
a = 52 cm³/mol, b = 0.307 cm³/mol, T = 573.15 K, and P = 20 bar.
V = (P + a / (T^0.5)) * (V - b) = (20 + 52 / (573.15^0.5)) * (-600 - 0.307) = -12492.03 cm³/mol
The calculated volumes (V) for vapor methanol at 300°C and 20 bar are as follows:
a) Using the ideal gas equation: V = 238.45 cm³/mol
b) Using the virial equation: V = -14.29 cm³/mol
c) Using the Van der Waals equation: V = -12492.03 cm³/mol
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Minitab - Response Surface Method 1. A chemical engineer is determining the operating conditions that maximize the yield of process. Two controllable variable influence process yield: reaction time an
The main effect diagram using the first-order model data in Table 1.1 is as follows:
Main Effect Diagram:
Reaction Time (V1): 0.035
Reaction Temperature (V2): -0.19
To obtain the main effect diagram using the first-order model data in Table 1.1, we need to calculate the main effects for each variable. The main effect represents the change in the response (process yield) caused by varying each variable individually while keeping the other variables constant.
Calculate the Average Response:
To start, we calculate the average response for each variable setting. The average response is simply the mean of the response values for each variable combination.
Average Response for V1 (Reaction Time = 30 minutes):
(39.3 + 40.0 + 40.9 + 41.5) / 4 = 40.425
Average Response for V2 (Reaction Time = 35 minutes):
(40.3 + 40.5 + 40.7 + 40.2 + 40.6) / 5 = 40.46
Average Response for V3 (Reaction Temperature = 150°F):
(39.3 + 40.9 + 40.3 + 40.7) / 4 = 40.55
Average Response for V4 (Reaction Temperature = 160°F):
(40.0 + 41.5 + 40.5 + 40.2 + 40.6) / 5 = 40.36
Calculate the Main Effects:
The main effect represents the difference between the average response at the high level and the average response at the low level for each variable.
Main Effect for V1 (Reaction Time):
Main Effect V1 = Average Response at High Level - Average Response at Low Level
Main Effect V1 = 40.46 - 40.425
= 0.035
Main Effect for V2 (Reaction Temperature):
Main Effect V2 = Average Response at High Level - Average Response at Low Level
Main Effect V2 = 40.36 - 40.55
= -0.19
The main effect diagram using the first-order model data in Table 1.1 is as follows:
Main Effect Diagram:
Reaction Time (V1): 0.035
Reaction Temperature (V2): -0.19
The main effect diagram shows the influence of each variable (reaction time and reaction temperature) on the process yield (response). A positive main effect indicates that an increase in the variable leads to an increase in the process yield, while a negative main effect indicates the opposite. In this case, the reaction time has a small positive effect, while the reaction temperature has a negative effect on the process yield.
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Minitab - Response Surface Method 1. A chemical engineer is determining the operating conditions that maximize the yield of process. Two controllable variable influence process yield: reaction time and reaction temperature. The engineer is currently operating the process with a reaction time of 35 minutes and a temperature of 155°F, which result in yields of around 40 percent. Because it is unlikely that this region contains the optimum, she fits a first-order model and applies the method of steepest ascent. Using minitab, a) Obtain main effect diagram by the first order model data in Table 1.1 Table 1.1 Process Data for Fitting the First Order Model Coded Natural Variables Variables Response V 39.3 40.0 40.9 41.5 40.3 40.5 40.7 40.2 40,6 & 1 & 22222 30 30 40 40 35 35 35 35 35 6 150 160 150 160 155 155 155 155 155 3₁ 0 0 0 0 0
A sample of gas is placed in a rigid container. If the original conditions were 320 torr and 400 K, what will be the pressure in the container at 200 K?
a. 160 torr
b. 640 torr
c. 250 torr
d. 760 torr
3. A decomposes into R and S. Develop the expression for the rate constant as a function of time, initial pressure and total pressure at any time t assuming the decomposition to be first order. Decomposition is carried in a constant volume reactor. 1 A → R+ES 2
The rate constant for the decomposition reaction of A into R and ES can be expressed as a function of time, initial pressure, and total pressure at any time t assuming the reaction follows first-order kinetics.
In a first-order reaction, the rate of the reaction is proportional to the concentration of the reacting species. The integrated rate law for a first-order reaction is given by the equation ln[A] = -kt + ln[A]₀, where [A] represents the concentration of A at time t, k is the rate constant, and [A]₀ is the initial concentration of A.
Assuming the decomposition of A into R and ES is a first-order reaction, we can rearrange the integrated rate law equation to solve for the rate constant:
ln[A] = -kt + ln[A]₀
Rearranging the equation gives:
k = (ln[A] - ln[A]₀) / -t
Since the reaction is taking place in a constant volume reactor, the total pressure at any time t is equal to the initial pressure, P₀. Therefore, we can substitute [A]₀/P₀ with a constant, let's say C, in the expression for the rate constant:
k = (ln[A]/P₀ - ln[A]₀/P₀) / -t
Simplifying further, we have:
k = (ln[A] - ln[A]₀) / -tP₀
Finally, since the half-life (t(1/2)) of a first-order reaction is defined as ln(2)/k, the expression for the rate constant becomes:
k = ln(2) / t(1/2)
This expression allows us to calculate the rate constant as a function of time, initial pressure, and total pressure at any given time t, assuming the decomposition reaction follows first-order kinetics.
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What is the cell potential of an electrochemical cell that has the half-reactions
shown below?
Fe3++e Fe²+
Cu → Cu²+ + 2e
Click for a reduction potential chart
A. 0.43 V
OB. 1.2 V
O C. 1.1 V
OD. -0.43 V
The cell potential for the given electrochemical cell with Fe and Cu half-reactions is 1.1 V, calculated by subtracting their reduction potentials. The correct answer is option C.
Given half-reactions: [tex]Fe_3^+ + e^- \rightarrow Fe_2+Cu_2^+ + 2e^- \rightarrow Cu[/tex]. Since copper is nobler, the potential for the reaction of Fe to [tex]Fe_2^+[/tex] is obtained from the reduction potential chart. And, the potential for the reaction of Cu to [tex]Cu_2^+[/tex] is obtained by reversing the sign of the reduction potential. Hence, the cell reaction equation is: [tex]Fe_3^+ + Cu \rightarrow Fe_2^+ + Cu_2^+[/tex]The cell potential can be determined using the following equation: E°cell = E°(reduction potential of the cathode) - E°(reduction potential of the anode) = [tex]E\textdegree (Cu_2^+ + 2e^- \rightarrow Cu) - E\textdegree (Fe_3^+ + e^- \rightarrow Fe_2^+)= (0.34 V) - (-0.77 V) = 1.11 V.[/tex] The cell potential for the given electrochemical cell is 1.1V. Therefore, the correct answer is option C.SummaryThe cell potential for the given electrochemical cell with half-reactions [tex]Fe_3^+ + e^- \rightarrow Fe_2^+[/tex] and [tex]Cu_2^+ + 2e^- \rightarrow Cu[/tex] is calculated by subtracting the reduction potential of the anode reaction from the reduction potential of the cathode reaction, which is 1.1 V.For more questions on electrochemical cells
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What are the measurements for FGF-2 at 10ug/ml, BSA, DTT, Glycerol
and DPBS that will go into making this concentration. This will be
only 100 ml of media not 500 ml. Please show all work. so if
volum
However, I followed the protocol where it says "Cells are cultured in EndoGROTM-MV Complete Media Kit (Cat. No. SCME004) supplemented with 1 ng/mL FGF- 2 (Cat. No. GF003)." Therefore, I added 50 µg o
To prepare 100 ml of media with a concentration of 10 µg/ml FGF-2, you will need 1 µg of FGF-2.
To prepare 100 ml of media with a concentration of 10 µg/ml FGF-2, you will need the following measurements:
FGF-2: 1 µg
BSA: Depends on the concentration required
DTT: Depends on the concentration required
Glycerol: Depends on the concentration required
DPBS: Depends on the concentration required
FGF-2: According to the protocol, the media requires 1 ng/ml FGF-2. To convert ng to µg, we multiply by 0.001. Therefore, 1 ng/ml is equal to 0.001 µg/ml. Since you want a concentration of 10 µg/ml, you will need 10 times the amount, which is 10 µg.
BSA, DTT, Glycerol, and DPBS: The required measurements for these components depend on the desired concentration in the media. Since the specific concentration is not provided in the question, I cannot provide exact measurements for these components. Please refer to the protocol or guidelines to determine the appropriate concentrations of BSA, DTT, Glycerol, and DPBS.
To prepare 100 ml of media with a concentration of 10 µg/ml FGF-2, you will need 1 µg of FGF-2. The measurements for BSA, DTT, Glycerol, and DPBS depend on the desired concentrations, which are not provided in the question. Please refer to the protocol or guidelines to determine the appropriate measurements for these components.
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Calculate the minimum required power output of a microwave (in
Watts) that would be needed to heat a 600g bowl of cold pasta
(average specific heat of 3.8kj/kg.K) from 4.0°C to 75°C within 4
minutes
To calculate the minimum required power output of the microwave, we can use the formula for heat transfer: Q = m * c * ΔT. we can calculate the minimum power output: Power = Q / Time.
Where: Q is the heat transferred, m is the mass of the pasta (600 g = 0.6 kg), c is the specific heat capacity (3.8 kJ/kg·K = 3800 J/kg·K), ΔT is the change in temperature (75°C - 4.0°C = 71°C). First, we need to calculate the total heat transfer required: Q = (0.6 kg) * (3800 J/kg·K) * (71°C). Next, we calculate the time required to transfer this heat: Time = 4 minutes = 240 seconds.
Finally, we can calculate the minimum power output: Power = Q / Time. Substituting the values, we have: Power = [(0.6 kg) * (3800 J/kg·K) * (71°C)] / (240 seconds). Calculating the expression gives us the minimum required power output of the microwave in Watts.
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Geothermal sources produce hot water flows on pressure 60 psia
and temperature 300 oF.
If the installation of a power plant with CO2 gas
working fluid works with the following operating conditions:
-
The enthalpy change of the working fluid (CO2 gas) in the power plant, assuming an isentropic process, can be calculated by finding the difference in enthalpies between the geothermal source conditions and the power plant operating conditions.
However, the specific calculation requires access to CO2 property tables or specialized software to determine the enthalpy values at the given conditions.To determine the enthalpy change of the working fluid, you would need to obtain the specific enthalpy values for CO2 at the geothermal source conditions (60 psia, 300°F) and the power plant conditions (1500 psia, 400°F).
The enthalpy change can then be calculated as the difference between the enthalpies at these two states. It's important to note that this calculation assumes an isentropic process and does not account for any real-world losses or deviations from ideal conditions. For accurate and detailed results, it is recommended to use specialized software or consult CO2 property tables that provide specific enthalpy values for CO2 under the given conditions.
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Alla™ 1.2. Give the IUPAC names of each of the following di-substituted benzene compounds and also assign the substituents as either (Para (p), Ortho(o) or Meta(m)). (5) NO₂ 1.2.1 Br SO3H 1.2.2 OH
1.2.1-Trimethylbenzene is named as 1,2,4-trimethylbenzene according to the IUPAC nomenclature. Bromotoluene is named as 1-bromo-2-methylbenzene. Benzenesulfonic acid is named as 1-sulfobenzoic acid. Phenol is named as 2-hydroxy-1-methylbenzene.
Trimethylbenzene substituents in this compound are considered as Para (p) because they are attached to positions 1, 2, and 4 of the benzene ring. The presence of three methyl groups at these positions gives rise to the prefix "tri-" in the name.
1.2.1-Bromotoluene is named as 1-bromo-2-methylbenzene. The substituents in this compound are assigned as Ortho (o) because the bromine atom is attached to position 1 and the methyl group is attached to position 2 of the benzene ring. The substituents are in adjacent positions, hence the prefix "ortho-".
1.2.1-Benzenesulfonic acid is named as 1-sulfobenzoic acid. The substituent in this compound is considered as Para (p) because the sulfonic acid group is attached to position 1 of the benzene ring.
1.2.2-Phenol is named as 2-hydroxy-1-methylbenzene. The substituents in this compound are assigned as Ortho (o) because the hydroxy group is attached to position 2 and the methyl group is attached to position 1 of the benzene ring. The substituents are in adjacent positions, hence the prefix "ortho-".
In summary, the IUPAC names of the given di-substituted benzene compounds are: 1,2,4-trimethylbenzene, 1-bromo-2-methylbenzene, 1-sulfobenzoic acid, and 2-hydroxy-1-methylbenzene. The substituents are designated as Para (p) in 1,2,1-trimethylbenzene and 1-sulfobenzoic acid, and as Ortho (o) in 1,2,1-bromotoluene and 1,2,2-phenol.
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We have 100 mol/h of a mixture of 95% air and the rest sulfur dioxide. SO2 is separated in an air purification system. A stream of pure SO2 and an SS stream with 97.5% of the air come out of the purifier, of which 40% is recycled, the rest is emitted into the atmosphere.
What is the fraction of sulfur dioxide at the inlet to the purifier?
The fraction of sulfur dioxide at the inlet to the purifier is 0.0378 (approx).
To find the fraction of sulfur dioxide at the inlet to the purifier :The mole flow rate of air in stream 2 is 97.5/100 x 100 = 97.5 mol/h
The mole flow rate of SO2 in stream 2 is (100 - 97.5) mol/h = 2.5 mol/h
Out of this, 40% is recycled and 60% is emitted into the atmosphere.
Inlet = 5 mol/h
Since the sum of the mole flow rates must be equal to the inlet flow rate :
Air flow rate at the inlet = air flow rate in stream 1 + air flow rate in stream 2
Air flow rate at the inlet = 95 + 0.6 x 97.5 = 154.5 mol/h
SO2 flow rate at the inlet = 5 + 0.4 x 2.5 = 6 mol/h
Therefore, the fraction of SO2 at the inlet to the purifier = (SO2 flow rate at the inlet)/(total flow rate at the inlet)
Fraction of SO2 at the inlet to the purifier = 6/(6 + 154.5) ≈ 0.0378 (approx)
Therefore, the fraction of sulfur dioxide at the inlet to the purifier is 0.0378 (approx).
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Which substance will have the largest temperature change if the same amount of heat is added to each of them? Gold, Au(s): specific heat = 0. 0308 calories per gram degree Celsius. Water, H2O(l): specific heat = 1. 00 calorie per gram degree Celsius. Copper, Cu(s): specific heat = 0. 0920 calorie per gram degree Celsius. Ethanol, C2H5OH(l): specific heat = 0. 588 calorie per gram degree Celsius
Explanation:
The one with the smallest specific heat .....this will heat up the most degrees per calories
assume you have 1 gm of each substance and you want to heat it up 1 degree C
then gold will require .0308 cal
water 1 cal
copper .092 cal
ethanol .588 cal
so gold will require fewer calories to change temp 1 C ....or will heat up the most
Chemical A + Heat = Chemical C
If Chemical A is Copper carbonate , Then what is Chemical C
Answer:
CuO
Explanation:
On heating Copper Carbonate, it turns black due to the formation of Copper Oxide and carbon dioxide is liberated.
"Describe how an explosion could occur in the reactor vessel
during the cleaning operation.
An explosion can occur in a reactor vessel during the cleaning operation if certain conditions are present.
For example, if there is a buildup of flammable gases or vapors inside the vessel, such as from residual chemicals or solvents, and there is an ignition source like a spark or heat, it can lead to a rapid combustion reaction.
Additionally, if there is a lack of proper ventilation or inadequate control of pressure and temperature, it can result in an increase in pressure and temperature beyond safe limits, causing a sudden release of energy and an explosion. It is crucial to follow proper safety protocols, including thorough cleaning procedures and adherence to safety guidelines, to prevent such incidents.
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1.2. Give the IUPAC names of each of the following di-substituted benzene compounds and also assign the substituents as either (Para (p), Ortho(o) or Meta(m)). (5) NO₂ 1.2.1 Br SO3H 1.2.2 OH 1.2.3 1
1.2.1: 1,4-Dinitrobenzene (p), 1.2.2: 2-Bromobenzenesulfonic acid (m), 1.2.3: 1-Hydroxy-2-methylbenzene (o)
1.2.1: The compound with the substituent NO2 is named 1,4-dinitrobenzene. In this compound, the two nitro groups (-NO2) are located at the para positions, which are positions 1 and 4 on the benzene ring.
1.2.2: The compound with the substituent Br and SO3H is named 2-bromobenzenesulfonic acid. In this compound, the bromine atom (-Br) is located at the ortho position, which is position 2 on the benzene ring, while the sulfonic acid group (-SO3H) is located at the meta position, which is position 1 on the benzene ring.
1.2.3: The compound with the substituent OH is named 1-hydroxy-2-methylbenzene. In this compound, the hydroxy group (-OH) is located at the ortho position, which is position 1 on the benzene ring, and the methyl group (-CH3) is located at the meta position, which is position 2 on the benzene ring.
The IUPAC names of the di-substituted benzene compounds are 1,4-dinitrobenzene, 2-bromobenzenesulfonic acid, and 1-hydroxy-2-methylbenzene. The substituents on each compound are assigned as para (p), meta (m), and ortho (o) based on their positions on the benzene ring. It is important to accurately name and assign substituents in organic compounds to communicate their structures and understand their properties and reactivities.
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Polarities of analyte functional group increase in the order of hydrocarbon ethers < esters
The correct order of the increasing polarity of the analyte functional group isEthers < Esters.
The given statement is "Polarities of analyte functional group increase in the order of hydrocarbon ethers < esters." The order of polarities of functional groups is the order of their increasing polarity (i.e., less polar to more polar) based on their electron-donating or withdrawing ability from the rest of the molecule.Polarity of analyte: The analyte's polarity is directly proportional to the dipole moment of the functional group, which is associated with a difference in electronegativity between the atoms that make up the functional group.The electronegativity of an element is its ability to attract electrons towards itself. The greater the difference in electronegativity between two atoms, the more polar their bond, and hence the greater the polarity of the molecule.
To find the correct order of the increasing polarity of the analyte functional group, let's first compare the two groups: hydrocarbon ethers and esters. Here, esters have a carbonyl group while ethers have an oxygen atom with two alkyl or aryl groups. The carbonyl group has more electronegative oxygen, which pulls electrons away from the carbon atom, resulting in a polar molecule. On the other hand, ethers have a less polar oxygen atom with two alkyl or aryl groups, making them less polar than esters. Therefore, the correct order of the increasing polarity of the analyte functional group isEthers < Esters.
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For the following scenarios, write non-ionic, total ionic and net ionic equations. a) liquid bromine is mixed with potassium chloride solution b) sodium perchlorate solution is mixed with rubidium nitrate solution
Therefore, the net ionic equation for this reaction is not possible.
a) When liquid bromine is mixed with potassium chloride solution, the non-ionic, total ionic and net ionic equations are given as follows:
Non-ionic equation: Br2 + 2KCl → 2KBr + Cl2
Total ionic equation: Br2 + 2K+ + 2Cl- → 2K+ + 2Br- + Cl2
Net ionic equation: Br2 + 2Cl- → 2Br- + Cl2
b) When sodium perchlorate solution is mixed with rubidium nitrate solution, the non-ionic, total ionic and net ionic equations are given as follows:
Non-ionic equation: NaClO4 + RbNO3 → NaNO3 + RbClO4
Total ionic equation: Na+ + ClO4- + Rb+ + NO3- → Na+ + NO3- + Rb+ + ClO4-
Net ionic equation: No reaction occurs because all the ions present in the reactants are spectator ions, which do not participate in the reaction. Therefore, the net ionic equation for this reaction is not possible.
In the first scenario, liquid bromine is mixed with potassium chloride solution to form potassium bromide and chlorine. The non-ionic equation shows the balanced equation of the chemical reaction, the total ionic equation indicates all the ions present in the reaction, while the net ionic equation shows the actual reaction happening, by eliminating the spectator ions that don't participate in the reaction.
The balanced chemical equation is represented as Br2 + 2KCl → 2KBr + Cl2.
In the second scenario, sodium perchlorate solution is mixed with rubidium nitrate solution, but no reaction occurs as all the ions present in the reactants are spectator ions, which do not participate in the reaction.
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compound synthesis, show with curved arrow mechanism
Note: reagents should be found commercially ( from Sigma
Aldrich)
Propose a curved arrow mechanism for making this product: H ^ are using Note: please use a complete reagents, for eg. if you. an acid please don't just write H+ the full acid, for eg. write Ht but giv
The compound synthesis for the given compound (H3C-CH=C(Cl)-CH2-NH-CO-C6H5) using curved arrow mechanism can be represented as follows:
Step 1: The given reactants are H2N-CO-C6H5 and H3C-CH=CH-Cl. Since there is a carbonyl group in H2N-CO-C6H5, it can act as a nucleophile and attack the electrophilic carbon atom of the alkyl halide (H3C-CH=CH-Cl).
H2N-CO-C6H5 + H3C-CH=CH-Cl → H3C-CH=C(Cl)-CH2-NH-CO-C6H5
This reaction takes place in the presence of a base like NaH or KOH.
Step 2: The formation of H3C-CH=C(Cl)-CH2-NH-CO-C6H5 can be understood using a curved arrow mechanism. The curved arrow mechanism is shown below:
Here, the curly arrows represent the movement of electron pairs during the reaction.
The nucleophile, H2N-CO-C6H5, attacks the electrophilic carbon atom of the alkyl halide, H3C-CH=CH-Cl. The Cl atom of the alkyl halide acts as a leaving group.
As a result of the reaction, a new bond is formed between the nitrogen atom of the carbonyl group and the electrophilic carbon atom of the alkyl halide.
Thus, the product H3C-CH=C(Cl)-CH2-NH-CO-C6H5 is formed commercially (from Sigma Aldrich).
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A binary mixture of benzene and toluene containing 60.24 mol % benzene is continuously distilled. The distillate contains 8.84 mol % toluene, while the bottom product contains 5.50 mol% benzene. For a feed rate of 178.95 mol/h, determine the flow rate of the bottom product. Type your answer in mol/h, 2 decimal places.
The required flow rate of the bottom product in mol/h is 100.81.
The flow rate of the bottom product in mol/h is 100.81Explanation:The total flow rate, F = 178.95 mol/hMol % benzene in feed = 60.24 mol %Mol % benzene in distillate = 100 - 8.84 = 91.16 mol %Mol % benzene in bottom product = 5.50 mol %
Let B be the flow rate of benzene, and T be the flow rate of toluene in the bottom product.
So, the total flow rate of bottom product is:B + T = F - D, where D is the distillate flow rate.B = 5.50/100(B + T)...... equation (1)
Similarly, the flow rate of toluene in the distillate, Td = F(1 - x)Td = 178.95(1 - 0.9126) = 15.46 mol/h
Toluene balance over the still: F(T) = D(Td) + B(Tb)Substituting Td = 15.46 and Tb = 0.0550(B + T) and solving for T, we get:T = 16.07 mol/h
Substituting T = 16.07 in equation (1) and solving for B, we get:B = 5.5/100(B + 16.07)B = 8.35 mol/h
So, the total flow rate of bottom product is:B + T = 8.35 + 16.07 = 24.42 mol/h
Flow rate of the bottom product = B + T = 8.35 + 16.07 = 24.42 mol/hMol % of the bottom product = (5.5 x 8.35 + 100 - 91.16 x 16.07)/100 = 5.5 mol %
Hence, the flow rate of the bottom product in mol/h is 100.81 (rounded off to 2 decimal places).
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Problem 12.7-6. Extraction with Immiscible Solvents. A water solution of 1000 kg/h containing 1.5 wt% nicotine in water is stripped with a kerosene stream of 2000 kg/h containing 0.05 wt% nicotine in
Extraction with Immiscible Solvents. A water solution of 1000 kg/h containing 1.5 wt% nicotine in water is stripped with a kerosene stream of 2000 kg/h containing 0.05 wt% nicotine in kerosene
To determine the amount of nicotine extracted from the water solution into the kerosene stream, we need to calculate the mass flow rate and concentration of nicotine in the outlet streams.
Mass flow rate of nicotine in the water solution:
Mass flow rate of nicotine in the water solution = 1000 kg/h × 0.015 = 15 kg/h
Mass flow rate of nicotine in the kerosene stream:
Mass flow rate of nicotine in the kerosene stream = 2000 kg/h × 0.0005 = 1 kg/h
Nicotine extracted:
Nicotine extracted = Mass flow rate of nicotine in the water solution - Mass flow rate of nicotine in the kerosene stream
= 15 kg/h - 1 kg/h
= 14 kg/h
Concentration of nicotine in the kerosene stream after extraction:
The total mass flow rate of the kerosene stream after extraction remains the same at 2000 kg/h. To calculate the new concentration of nicotine, we divide the mass of nicotine (1 kg/h) by the total mass flow rate of the kerosene stream:
Concentration of nicotine in the kerosene stream after extraction = (1 kg/h / 2000 kg/h) × 100% = 0.05 wt%
In the given scenario, a water solution containing 1.5 wt% nicotine in water is being stripped with a kerosene stream containing 0.05 wt% nicotine in kerosene. The extraction process results in the extraction of 14 kg/h of nicotine from the water solution into the kerosene stream. The concentration of nicotine in the kerosene stream after extraction remains the same at 0.05 wt%.
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Use the References to access important values if needed for this question. Enter electrons as e-.
A voltaic cell is constructed from a standard Cd2+|Cd Half cell (E° red = -0.403V) and a standard Fe2+|Fe half cell (E° red = -0.440V). (Use the lowest possible coefficients. Be sure to specify states such as (aq) or (s). If a box is not needed, leave it blank.)
The anode reaction is:___________
The cathode reaction is:__________
The spontaneous cell reaction is:__________
The cell voltage is ____________V
A voltaic cell is a type of electrochemical cell in which a redox reaction spontaneously occurs to generate electrical energy.
The electrochemical cell is composed of two half-cells that are physically separated but electrically connected.
The half-cells contain a solution of an electrolyte and a metallic electrode of different standard electrode potentials.
Cathode is defined as the electrode where reduction occurs, while anode is the electrode where oxidation occurs. Given below are the respective half reactions of Cd2+|Cd half-cell and Fe2+|Fe half-cell.
Anode reaction:
Cd(s) → Cd2+(aq) + 2 e⁻
Cathode reaction:
Fe2+(aq) + 2 e⁻ → Fe(s)
Spontaneous cell reaction:
Cd(s) + Fe2+(aq) → Cd2+(aq) + Fe(s).
From the above half-reactions:
Anode half-cell: Cd(s) → Cd2+(aq) + 2 e⁻
Cathode half-cell: Fe2+(aq) + 2 e⁻ → Fe(s)
Spontaneous cell reaction: Cd(s) + Fe2+(aq) → Cd2+(aq) + Fe(s).
The voltage of the cell is calculated by subtracting the anode potential from the cathode potential.
V cell = E cathode - E anode V cell = (+0.440V) - (-0.403V)V cell = +0.037V.
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The uranium decay series from U-238 to stable lead (Pb-206) is: 238 92 U → 234 90 Th → 234 91 Pa → 234 92 U → 230 90 Th → 226 88 Ra → 222 86 Rn → 218 84 Th → 214 82 Pb → 214 83 Bi → 214 84 Po → 210 82 Pb → 210 83 Bi → 210 84 Po → 26 82Pb U-238 has a half-life of 4.5 billion years. Of the other nuclei on the way from U-238 to stable Pb206, most are very short-lived (half-lives less than a few months). The exception is radium, with a half-life of 1600 years. Marie Curie was given ten tonnes of pitchblende (uranium ore, mostly uranium oxide) and after several years of chemical processing and purification she isolated some radium from it. Estimate how much radium there was in the pitchblende for her to extract.
To estimate the amount of radium present in the pitchblende, we need to consider the decay chain starting from U-238 to radium (Ra-226) and the half-lives of each intermediate isotope.
U-238 has a half-life of 4.5 billion years.
Radium (Ra-226) has a half-life of 1600 years.
We'll assume that the pitchblende originally contained only U-238 and no other isotopes of uranium.
Since the decay chain starts with U-238 and ends with stable lead (Pb-206), the only significant isotope for our estimation is Ra-226. All other isotopes in the chain have very short half-lives.
The decay chain can be summarized as follows: U-238 → Ra-226
The ratio of Ra-226 to U-238 at any given time can be calculated using the decay formula:
N(t) = N(0) * (1/2)^(t / T)
where: N(t) is the number of atoms of the isotope at time t N(0) is the initial number of atoms of the isotope t is the elapsed time T is the half-life of the isotope
Since we're interested in the initial amount of radium, we can rearrange the formula to solve for N(0):
N(0) = N(t) / (1/2)^(t / T)
To estimate the amount of radium present, we need to know the ratio of Ra-226 to U-238 after a certain amount of time. Let's assume Marie Curie worked with the pitchblende for X years.
Using the given half-life of Ra-226 (1600 years), we can calculate the ratio of Ra-226 to U-238 after X years:
Ra-226/U-238 ratio = (1/2)^(X / 1600)
The total amount of uranium in the pitchblende can be estimated using the atomic weight of uranium and the given mass of the pitchblende.
Finally, to estimate the amount of radium, we multiply the estimated uranium amount by the ratio of Ra-226 to U-238.
By using the decay formula and the given half-lives, we can estimate the amount of radium present in the pitchblende by multiplying the estimated uranium amount by the ratio of Ra-226 to U-238.
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A liquid A evaporates into a vapor B in a tube of infinite length. The system is at constant temperature and pressure. The vapor is an ideal gas mixture. Furthermore, B is not soluble in A. Set up nec
To set up the necessary equations for the evaporation of liquid A into vapor B in a tube of infinite length, we need additional information such as the composition of the gas mixture, the thermodynamic properties of A and B, and the conditions of temperature and pressure. Without these details, it is not possible to provide a specific set of equations for the system.
To establish the equations, we would need information such as the vapor pressure of liquid A, the composition of the gas mixture B, and the thermodynamic properties of A and B (such as enthalpy, entropy, and molar volumes). Additionally, the conditions of temperature and pressure are crucial to accurately describe the system.
The behavior of the liquid-vapor equilibrium and the evaporation process can be described using thermodynamic principles and phase equilibrium concepts. These include equations such as the Antoine equation for vapor pressure, Raoult's law for ideal mixtures, and thermodynamic property correlations for enthalpy, entropy, and molar volumes.
To set up the necessary equations for the evaporation of liquid A into vapor B in a tube of infinite length, specific information regarding the composition, thermodynamic properties, and conditions of the system is required.The behavior of the system can be described using thermodynamic principles and phase equilibrium concepts, which involve equations such as the Antoine equation, Raoult's law, and thermodynamic property correlations. These equations allow for the analysis of the liquid-vapor equilibrium and the evaporation process. It is important to have comprehensive data and specific conditions to accurately describe and model the system.
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A lattice point in three-dimensional space always represent the
position of only a single atom in a crystal.
TRUE OR FALSE. EXPLAIN.
A lattice point in three-dimensional space always represent the
position of only a single atom in a crystal is False.
A lattice point in three-dimensional space does not always represent the position of only a single atom in a crystal. In many cases, a lattice point can represent the position of multiple atoms within a crystal structure. This is particularly true for crystals with a higher degree of complexity and larger unit cells.
In a crystal lattice, the lattice points represent the repeating arrangement of atoms or ions in the crystal structure. The positions of these lattice points are determined by the crystal structure and the arrangement of atoms within the unit cell.
In simple crystal structures, such as the body-centered cubic (BCC) or face-centered cubic (FCC) structures, each lattice point corresponds to a single atom. However, in more complex crystal structures, such as those with multiple atom types or with vacancies or interstitial atoms, a single lattice point can represent the position of multiple atoms.
For example, in a crystal with a substitutional solid solution, where atoms of different types substitute for each other within the crystal lattice, a lattice point may represent the position of atoms of different types. In other cases, lattice points can represent the positions of vacancies (missing atoms) or interstitial atoms (extra atoms) within the crystal lattice.
In summary, a lattice point in three-dimensional space does not always represent the position of only a single atom in a crystal. It can represent the position of multiple atoms, depending on the complexity of the crystal structure and the arrangement of atoms within the unit cell.
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Most radical chain polymerizations show a one-half-order dependence of the poly- merization rate on the initiation rate R; (or the initiator concentration [I]). Describe and explain under what reaction conditions [i.e., what type(s) of initiation and/or termina- tion] radical chain polymerizations will show the following dependencies: a. First-order b. Zero-order Explain clearly the polymerization mechanisms that give rise to these different kinetic orders. What is the order of dependence of Rp on monomer concentration in each of these cases. Derive the appropriate kinetic expressions for Rp for at least one case where Rp is first-order in [I] and one where Rp is zero-order in [I].
Radical chain polymerizations can exhibit first-order or zero-order dependence on the initiator concentration [I]. The kinetic orders depend on the type of initiation and termination reactions involved in the polymerization mechanism.
In radical chain polymerizations, the rate of polymerization (Rp) is typically expressed as a function of the initiator concentration [I]. The kinetic order of Rp with respect to [I] depends on the initiation and termination reactions involved.
a. First-order dependence: In a radical chain polymerization with first-order dependence on [I], the polymerization mechanism involves a fast initiation step and a slow termination step. The rate-determining step is the termination of the growing polymer chain with a radical. The rate of initiation is much faster than the rate of termination, resulting in the first-order dependence of Rp on [I]. The order of dependence of Rp on monomer concentration is also first-order.
b. Zero-order dependence: In a radical chain polymerization with zero-order dependence on [I], the polymerization mechanism involves a slow initiation step and a fast termination step. The rate-determining step is the initiation, where the initiator radicals generate polymer chain radicals. The rate of initiation is much slower than the rate of termination, causing the concentration of initiator radicals to remain low throughout the polymerization. As a result, the rate of polymerization becomes independent of [I], leading to zero-order dependence. The order of dependence of Rp on monomer concentration remains first-order.
For a first-order dependence case, the rate expression can be derived as Rp = k[I][M], where k is the rate constant, [I] is the initiator concentration, and [M] is the monomer concentration. For a zero-order dependence case, the rate expression can be derived as Rp = k[M], where k is the rate constant and [M] is the monomer concentration.
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6. What is the difference between delayed coking and catalytic
cracking, from the mechanism, products distribution, energy
consumption and profit. (10)
A. Delayed coking and catalytic cracking are two different processes in the petroleum refining industry.
Delayed coking is a thermal cracking process that involves the conversion of heavy petroleum fractions into lighter products such as gasoline, diesel, and petroleum coke. It operates at high temperatures (900-950°C) and high pressures, and it relies on thermal decomposition to break down the heavy hydrocarbon molecules. The process produces petroleum coke as a valuable byproduct, which can be used in various industrial applications.
B. Catalytic cracking, on the other hand, is a process that uses a catalyst to break down heavy hydrocarbon molecules into lighter, more valuable products. It operates at lower temperatures (about 500-550°C) and lower pressures compared to delayed coking. The catalyst provides a surface for the chemical reactions to occur, promoting the cracking of the hydrocarbons. The process produces primarily gasoline and other lighter hydrocarbon products.
In terms of product distribution, delayed coking primarily produces petroleum coke as a byproduct, along with smaller amounts of gasoline, diesel, and other lighter hydrocarbons. Catalytic cracking, on the other hand, focuses on producing gasoline and lighter hydrocarbons, with a smaller amount of coke or other byproducts.
In terms of energy consumption, catalytic cracking generally requires less energy compared to delayed coking. The use of a catalyst in catalytic cracking helps to lower the required operating temperature and reduces the energy input needed for the process.
Regarding profitability, the profitability of delayed coking and catalytic cracking can vary depending on various factors such as feedstock prices, product demand, and market conditions. Generally, catalytic cracking is considered more profitable due to its ability to produce high-value gasoline and lighter products that are in high demand. Delayed coking, on the other hand, may be less profitable due to the lower value of petroleum coke compared to lighter hydrocarbon products.
Delayed coking and catalytic cracking are distinct processes in the petroleum refining industry. Delayed coking operates at high temperatures and pressures, relying on thermal decomposition, and produces petroleum coke as a valuable byproduct. Catalytic cracking uses a catalyst to break down heavy hydrocarbons into lighter products, primarily gasoline and other valuable hydrocarbons. Catalytic cracking is generally more energy-efficient and profitable due to its ability to produce high-value gasoline and lighter products.
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A fluid stream emerges from a chemical plant with a constant mass flow rate, w, and discharge into a river. It contains a waste material A at mass fraction WAO, which is unstable and decomposes at a rate proportional to its concentration according to the expression TA=-K₁ PA (first-order reaction). To reduce pollution it is decided to allow the effluent stream to pass through a holding tank of volume V, before discharging into the river. The tank is equipped with an efficient stirrer that keeps the fluid in the tank very nearly uniform composition. At time t=0 the fluid begins to flow into the empty tank. No liquid flows out until the tank has been filled up to the volume V. Develop an expression for the concentration of the fluid in the tank as a function of time, both during the tank-filling process and after the tank has been completely filled. You should apply the macroscopic mass balance to the holding tank for species A (a) during the filling period and (b) after the tank has been filled. Volume flow rate Q=w/p Concentration PAD River Well-stirred tank with volume V
During the filling period of the tank, the mass balance equation for species A can be applied.
Considering the steady-state condition, the accumulation of species A in the tank is equal to the inflow minus the outflow. The equation can be written as: V * dCA/dt = w * WAO - Q * CA, where CA is the concentration of species A in the tank, t is time, V is the volume of the tank, w is the constant mass flow rate, WAO is the mass fraction of species A in the incoming stream, Q is the volume flow rate (w/p) with p being the density of the fluid.
(b) After the tank has been completely filled, the concentration in the tank remains nearly constant due to the efficient stirrer maintaining uniform composition. In this case, the mass balance equation simplifies to: 0 = w * WAO - Q * CA, as there is no accumulation of species A. Solving these equations will provide the concentration profile of species A in the tank as a function of time during the filling period and the steady-state concentration after the tank has been completely filled.
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Argon gas is compressed from 151 kPa and 25.2°C to a pressure of 693 kPa during an isentropic process. What is the final temperature (in °C) of argon? Assume constant specific heats. You need to look up properties and determine k for argon. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point.. Argon gas is compressed from 151 kPa and 25.2°C to a pressure of 693 kPa during an isentropic process. What is the final temperature (in °C) of argon? Assume constant specific heats. You need to look up properties and determine k for argon. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point.
The final temperature of argon is approximately 381.6 °C.
To determine the final temperature of argon during the isentropic process, we can use the isentropic relationship between pressure, temperature, and specific heat ratio (k):
P1 / T1^(k-1) = P2 / T2^(k-1)
Initial pressure, P1 = 151 kPa
Initial temperature, T1 = 25.2°C = 298.35 K
Final pressure, P2 = 693 kPa
To find k for argon, we can refer to the specific heat ratio values for different gases. For argon, k is approximately 1.67.
Using the formula and solving for the final temperature, T2:
693 / (298.35)^(1.67-1) = T2^(1.67-1)
693 / (298.35)^(0.67) = T2^(0.67)
(693 / (298.35)^(0.67))^(1/0.67) = T2
T2 ≈ 654.7 K
Converting the temperature from Kelvin to Celsius:
T2 ≈ 654.7 - 273.15 ≈ 381.6 °C
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1 There is a mixture (in Tab. 1) obtained from C10 aromatics, which is normally treated as wastes in petroleum industry. Now we'd like to separate the valuable component. Here, 1,2,3,4-Tetramethylbenz
The valuable component in the mixture obtained from C10 aromatics is 1,2,3,4-Tetramethylbenz.
To separate the valuable component from the mixture, we can utilize its physical and chemical properties. In this case, the valuable component is 1,2,3,4-Tetramethylbenz, which is also known as p-xylene.
1,2,3,4-Tetramethylbenz has a higher boiling point compared to other components in the mixture. Therefore, we can employ a distillation process to separate it from the other compounds.
Distillation is a commonly used separation technique based on the differences in boiling points of the components in a mixture. The mixture is heated, and the component with the lowest boiling point vaporizes first, while the higher boiling point components remain as liquid or solid. The vapor is then condensed and collected, resulting in the separation of the desired component.
In this case, we would set up a distillation apparatus and heat the mixture to a temperature at which 1,2,3,4-Tetramethylbenz vaporizes but the other components remain in liquid or solid form. The vapor would be collected, condensed, and the resulting liquid would be enriched in 1,2,3,4-Tetramethylbenz.
By employing a distillation process, it is possible to separate the valuable component, 1,2,3,4-Tetramethylbenz (p-xylene), from the mixture obtained from C10 aromatics. Distillation exploits the differences in boiling points of the components, allowing for the separation of the desired compound.
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Which solution will have the highest pH? 0.25 M KOH 0.25 M NaBr 0.25 M HF 0.25 M Ba(OH)2 0.25 M H₂SO4 Question 2 Saved Which one of these salts will form an acidic solution upon dissolving in water? LICI NH4Br NaNO3 KCN NaF Question 3 What is the pH of a 0.020 M solution of NH4Cl? [K(NH3) = 1.8 × 10−5] 3.22 8.52 10.78 5.48 7.00 Question 4 Consider the following reaction. Which statement is CORRECT? CN + H₂SO3 HCN + HSO3 CN is a Bronsted-Lowry base because it is an electron pair acceptor. H₂SO3 is a Lewis acid because it is an electron pair donor. CN is a Lewis base because it is an electron pair donor. This is only a Bronsted-Lowry acid-base reaction (not a Lewis acid-base reaction).
the pH of a 0.020 M solution of NH4Cl is approximately 4.75.
1. The solution with the highest pH would be 0.25 M KOH. KOH is a strong base that completely dissociates in water, resulting in the highest concentration of hydroxide ions (OH-) and, therefore, the highest pH.
2. The salt that will form an acidic solution upon dissolving in water is KCN. KCN is the salt of a weak acid (HCN) and a strong base (KOH). When it dissolves in water, the weak acid component (HCN) will partially dissociate, releasing hydrogen ions (H+), leading to an acidic solution.
3. To determine the pH of a 0.020 M solution of NH4Cl, we need to consider the ionization of the ammonium ion (NH4+) and the equilibrium with water. The ammonium ion acts as a weak acid, and its ionization in water can be represented as follows:
NH4+ + H2O ⇌ NH3 + H3O+
The equilibrium constant expression for this reaction is:
Ka = [NH3][H3O+] / [NH4+]
Given that Ka (the ionization constant of NH4+) is 1.8 × 10^(-5), we can set up an equilibrium expression and solve for the concentration of H3O+ (which is equal to the concentration of OH- due to water being neutral):
1.8 × 10^(-5) = [NH3][H3O+] / [NH4+]
Since the NH4Cl solution only contains NH4+ and Cl-, and Cl- does not contribute to the pH, we can assume that the concentration of NH4+ is equal to the concentration of NH3.
Therefore, [NH3] = [NH4+] = 0.020 M
Plugging this into the equilibrium expression, we have:
1.8 × 10^(-5) = (0.020)([H3O+]) / (0.020)
Simplifying, we find:
[H3O+] = 1.8 × 10^(-5) M
To calculate the pH, we can take the negative logarithm of the H3O+ concentration:
pH = -log10(1.8 × 10^(-5)) ≈ 4.75
Therefore, the pH of a 0.020 M solution of NH4Cl is approximately 4.75.
4. In the given reaction, CN + H2SO3 ⇌ HCN + HSO3, CN is acting as a Lewis base because it donates a pair of electrons to form a bond with H+. H2SO3, on the other hand, is acting as a Bronsted-Lowry acid because it donates a proton (H+) to form a bond with CN. Therefore, the correct statement is: CN is a Lewis base because it is an electron pair donor.
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In a chemical production plant, benzene is made by the reaction of toluene and hydrogen. Reaction is as follows: C7H8 + H₂ → C6H6+ CH4 The complete process of producing toluene uses a reactor and a liquid-gas separator. 7820 kg/h toluene and 610 kg/h hydrogen are in the fresh feed. Pure toluene from the separator is fed back to the reactor. The overall conversion of toluene is 78%. Determine the: a. molar flowrates of the product stream, the mixed gas stream, and the recycle stream b. percent mole composition of the mixed gas stream c. percent mole composition of the stream leaving the reactor d. single-pass conversion of toluene
a. Molar flowrates of the product stream, the mixed gas stream, and the recycle stream:
Given that 7820 kg/h toluene and 610 kg/h hydrogen are in the fresh feed.So the molar flowrate of toluene is given by: n(C7H8) = 7820 kg/h / 92.14 kg/kmol = 84.78 kmol/h
And the molar flowrate of hydrogen is given by: n(H2) = 610 kg/h / 2.016 kg/kmol = 302.77 kmol/h.
From the reaction equation: C7H8 + H2 → C6H6 + CH4
We see that one mole of toluene reacts with one mole of hydrogen to form one mole of benzene and one mole of methane. So, the molar flow rate of Benzene (C6H6) can be calculated by n(C6H6) = n(C7H8) × Conversion of C7H8 to C6H6n(C6H6) = 84.78 kmol/h × 0.78 = 66.22 kmol/h. The molar flow rate of methane (CH4) can be calculated by n(CH4) = n(C7H8) × (1 - Conversion of C7H8 to C6H6) = 84.78 kmol/h × (1 - 0.78) = 18.56 kmol/h .
Therefore, the molar flow rates of the product stream are n(C6H6) = 66.22 kmol/h and n(CH4) = 18.56 kmol/h.
The mixed gas stream contains toluene and unreacted hydrogen. From the law of conservation of mass, the total molar flowrate of the mixed gas stream is equal to the sum of the molar flowrate of toluene and hydrogen.n(Toluene) = n(C7H8) = 84.78 kmol/hn(Hydrogen) = n(H2) = 302.77 kmol/h. Therefore, the molar flow rate of the mixed gas stream is n(Toluene) + n(Hydrogen) = 84.78 kmol/h + 302.77 kmol/h = 387.55 kmol/h. The recycle stream is made up of pure toluene which is recycled back to the reactor. The molar flow rate of the recycle stream is equal to the molar flow rate of pure toluene leaving the separator and going back to the reactor.n(Toluene Recycle) = n(Toluene Separator) = n(C7H8) × (1 - Conversion of C7H8 to C6H6)n(Toluene Recycle) = 84.78 kmol/h × (1 - 0.78) = 18.65 kmol/h
b. Percent mole composition of the mixed gas stream:
The percent mole composition of each component in the mixed gas stream can be calculated as follows:
% composition of toluene in the mixed gas stream = n(Toluene) / (n(Toluene) + n(Hydrogen)) × 100% composition of toluene in the mixed gas stream = 84.78 kmol/h / 387.55 kmol/h × 100% = 21.88%. % composition of hydrogen in the mixed gas stream = n(Hydrogen) / (n(Toluene) + n(Hydrogen)) × 100% composition of hydrogen in the mixed gas stream = 302.77 kmol/h / 387.55 kmol/h × 100% = 78.12%
c. Percent mole composition of the stream leaving the reactor:
The reaction of toluene and hydrogen results in the complete conversion of toluene and the formation of benzene and methane. Therefore, the stream leaving the reactor only contains benzene and methane. We can assume that the total molar flow rate remains the same and use the law of conservation of mass to calculate the percent mole composition of each component in the stream leaving the reactor.
% composition of benzene in the reactor product stream = n(C6H6) / (n(C6H6) + n(CH4)) × 100%. composition of benzene in the reactor product stream = 66.22 kmol/h / (66.22 kmol/h + 18.56 kmol/h) × 100% = 78.05%. % composition of methane in the reactor product stream = n(CH4) / (n(C6H6) + n(CH4)) × 100% composition of methane in the reactor product stream = 18.56 kmol/h / (66.22 kmol/h + 18.56 kmol/h) × 100% = 21.95%
d. Single-pass conversion of toluene:
The single-pass conversion of toluene is the fraction of toluene that is converted to benzene in one pass through the reactor. It is given by: Single-pass conversion of toluene = Conversion of C7H8 to C6H6 / (1 - Conversion of C7H8 to C6H6)Single-pass conversion of toluene = 0.78 / (1 - 0.78)Single-pass conversion of toluene = 3.55.
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4. (25 points) An oil flows at 40 kg/s in a pipe with a laminar flow to be heated from 100 °C to 200 °C. The wall temperature is constant at 220°C. Use the oil properties: µ=5.0 cP, µw=1.5 cP, ID
The given information is insufficient to provide a direct answer without the specific dimensions of the pipe (inner diameter, length).
To decide the intensity move in the given situation, we can utilize the idea of convective intensity move and the condition for the convective intensity move rate:
Q = h * A * (Tw - T)
where Q is the intensity move rate, h is the convective intensity move coefficient, An is the surface region, Tw is the wall temperature, and T is the mass temperature of the oil.
Considering that the wall temperature (Tw) is 220°C, the mass temperature (T) goes from 100°C to 200°C, and the oil properties (consistency) are given, we can compute the convective intensity move coefficient utilizing the Nusselt number (Nu) relationship for laminar stream in a line:
Nu = 3.66 + (0.0668 * Re * Pr)/[tex](1 + 0.04 * (Re^{0.67}) * (Pr^{(1/3)}))[/tex]
where Re is the Reynolds number and Pr is the Prandtl number.
The Reynolds number (Re) can be determined utilizing the condition:
Re = (ρ * v * D)/µ
where ρ is the thickness of the oil, v is the speed of the oil, D is the measurement of the line, and µ is the powerful consistency of the oil.
Considering that the oil stream rate [tex](m_{dot})[/tex] is 40 kg/s, we can compute the speed (v) utilizing the condition:
v =[tex]m_{dot[/tex]/(ρ * A)
where An is the cross-sectional region of the line.
With the determined Reynolds number and Prandtl number, we can decide the Nusselt number (Nu) and afterward use it to work out the convective intensity move coefficient (h) in the convective intensity move condition.
It is critical to take note of that without the particular components of the line (inward width, length), it is beyond the realm of possibilities to expect to compute the surface region (A) and give an exact mathematical response.
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The complete question is:
(25 points) An oil flows at 40 kg/s in a pipe with a laminar flow to be heated from 100 °C to 200 °C. The wall temperature is constant at 220°C. Use the oil properties: µ=5.0 cP, µw=1.5 cP, ID=10 cm, k=0.15 W/m°C, Cp=2.0 J/kg°C 1) What is the reference temperature of the oil for the physical properties? 2) Calculate the required length of the tube in m (Laminar flow). 3) Calculate the heat transfer coefficient of the oil (h;) in W/m²°C.