A two-stage air compressor operates at steady state, compressing 10 m3 /min of air from 100 kPa, 300 K, to 1200 kPa. An intercooler between the two stages cools the air to 300 K at a constant pressure of 350 kPa. The compression processes are isentropic. Calculate the power required to run the compressor, in kW, and compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.
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check photos (answer)
Comparing this to the actual power required for the two-stage compressor (242.6 kW), we can see that the actual power required is significantly higher.
What is work done?Work done is the amount of energy transferred to or from a system as a result of a force acting on it over a distance.
To solve this problem, we can use the following steps:
Step 1: Determine the state points of the air at various stages of the compression process.
Stage 1: Inlet state = State 1
P1 = 100 kPa, T1 = 300 K, V1 = 10 m³/min
Stage 2: After the first stage of compression = State 2
P2 = 1200 kPa, T2 = ? (isentropic compression)
Stage 3: After intercooling = State 3
P3 = 350 kPa, T3 = 300 K, V3 = V2
Stage 4: After the second stage of compression = State 4
P4 = 1200 kPa, T4 = ? (isentropic compression)
Step 2: Calculate the temperature and specific volume at states 2 and 4 using the isentropic compression process.
For an isentropic compression process, we have:
(P2/P1)^((γ-1)/γ) = T2/T1
(P4/P3)^((γ-1)/γ) = T4/T3
where γ is the ratio of specific heats for air, which is approximately 1.4.
Solving for T2 and T4, we get:
T2 = T1*(P2/P1)^((γ-1)/γ) = 300*(1200/100)^((1.4-1)/1.4) = 742.6 K
T4 = T3*(P4/P3)^((γ-1)/γ) = 300*(1200/350)^((1.4-1)/1.4) = 892.5 K
Next, we can use the ideal gas law to calculate the specific volume of air at states 2 and 4:
V2 = V1*(P1/P2)(T2/T1) = 10(100/1200)(742.6/300) = 0.1867 m³/kg
V4 = V3(P3/P4)(T4/T3) = 10(350/1200)*(892.5/300) = 0.2604 m³/kg
Step 3: Calculate the work done in each stage of the compressor.
For an isentropic compression process, the work done can be calculated using the following equation:
W = (mCp)(T2-T1) = (mCp)(T4-T3)
where m is the mass flow rate of air, which can be calculated using the specific volume and inlet volumetric flow rate:
m = V1/(v160) = 10/(0.831460) = 0.2016 kg/s
Cp is the specific heat at constant pressure for air, which is approximately 1.005 kJ/kg-K.
Thus, the work done in each stage of the compressor is:
W1 = (0.20161.005)(742.6-300) = 77.2 kW
W2 = (0.20161.005)(892.5-300) = 116.9 kW
The total work done by the compressor is:
W_total = W1 + W2 = 77.2 + 116.9 = 194.1 kW
Step 4: Calculate the power required to run the compressor.
The power required to run the compressor can be calculated using the following equation:
Power = W_total/η
where η is the compressor efficiency.
We are not given the efficiency, but for a two-stage compressor, a reasonable estimate for η is reasonable estimate for the efficiency of a two-stage compressor is around 75-85%. Therefore, we can assume η = 0.8.
Using this efficiency value, the power required to run the compressor is:
Power = W_total/η = 194.1/0.8 = 242.6 kW
Step 5: Compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.
For isentropic compression from the same inlet state to the same final pressure, the work done can be calculated using the following equation:
W = (mCp)(T2-T1) = (mCp)(T4-T3) = (m*Cp)*ΔT
where ΔT = T2-T1 = T4-T3 = 442.5 K
Thus, the work done for isentropic compression is: W_iso = (0.2016*1.005)*442.5 = 89.1 kW
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Related Questions
If a construction company is considering a new type of material to use in their construction, which factors would they
focus on? (Select all that apply.)
that the new material does the same thing as an existing material but better
that the new material does the same thing as an existing material but cheaper
that the science behind the material be familiar to and understood by its employees
that the properties of the new material meet their construction needs
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I would honestly select every one of the given options. Gor a company evaluating this new material it would be very valuable to hit each of these factors.
Steam enters the first-stage turbine shown in the figure at 40 bar and 400oC with a mass flow rate of 60,000 kg/hr. Steam exits the first-stage turbine at 20 bar and 400oC. The steam is then reheated at constant pressure to 500oC before entering the second-stage turbine. Steam leaves the second stage as saturated vapor at 0.6 bar. Assume steady state operation and ignore stray heat transfer and kinetic and potential energy effects. Determine the volumetric flow rate of the steam at the inlet to the first-stage turbine, in m3/min, the rate of heat transfer to the steam flowing through the reheater, in kW, and the total power produced by the two stages of the turbine, in kW.
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Answer:
a) 62460 kg/hr
(b) 17,572.95 kW
(c) 3,814.57 kW
Explanation:
Your vehicle is/ are not part of regulated safety system 
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Answer:
Amends the FMVSS on air brake systems to improve the stopping distance performance of truck tractors. The rule requires the vast majority of new heavy truck tractors to achieve a 30 percent reduction in stopping distance compared to currently required levels. For these heavy truck tractors (approximately 99 percent of the fleet), the amended standard requires those vehicles to stop in not more than 250 feet when loaded to their gross vehicle weight rating (GVWR) and tested at a speed of 60 miles per hour (mph). For a small number of very heavy severe service tractors, the stopping distance requirement will be 310 feet under these same conditions. In addition, this final rule requires that all heavy truck tractors must stop within 235 feet when loaded to their “lightly loaded vehicle weight” (LLVW).
Amends the FMVSS on air brake systems to improve the stopping distance performance of truck tractors. The rule requires the vast majority of new heavy truck tractors to achieve a 30 percent reduction in stopping distance compared to currently required levels. For these heavy truck tractors (approximately 99 percent of the fleet), the amended standard requires those vehicles to stop in not more than 250 feet when loaded to their gross vehicle weight rating (GVWR) and tested at a speed of 60 miles per hour (mph). For a small number of very heavy severe service tractors, the stopping distance requirement will be 310 feet under these same conditions. In addition, this final rule requires that all heavy truck tractors must stop within 235 feet when loaded to their “lightly loaded vehicle weight” (LLVW).
Answer:
power window controls
Explanation:
What could be used as another word for electrical potential?
A. Current
B. Wattage
C. Voltage
D. Power
Answers
Answer: C. Voltage
Explanation:
Here are some other words as well.
potential, voltage, potential drop, potential difference.
Answered by the ONE & ONLY #QUEEN aka #DRIPPQUEENMO!!!
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Miriam is doing a measurement with her multimeter and the LCD is showing Hz. What's she measuring?
A. Resistance
B. Amplitude
C. Voltage
D. Frequency
Answers
Answer:
voltage
Explanation:
because it is used with a moving pointer to display readings.
What's the best way to find the load capacity of a crane? Select the best option Call the manufacturer Look at the load capacity chart in the cab Ask co-workers It's best determined by lifting a load
Answers
Answer:
Look at the load capacity chart in the cab
Explanation:
A crane can be defined as a large, tall metallic machine or equipment that is designed with a long horizontal arm (jib) used for the lifting and movement of very heavy objects through the air. They're usually designed to be operated by a human operator, who typically uses a remote controller and a beam to control the direction of movement of the crane.
Due to the fact that cranes are used for lifting and moving very heavy objects, they are powered by an internal combustion engine and electric motors.
Furthermore, all cranes have the maximum capacity of load they're able to lift at a particular point in time. In order to determine the rated or gross capacity of a crane and maintain safe operation, it is important to check its load capacity chart. The actual load a crane can lift is its net capacity and it must not be exceeded at any time, so as to avoid structural failure or overturning of the crane.
Hence, the best way to find the load capacity of a crane is to look at the load capacity chart in the cab.
The load can include rigging components, hooks, blocks, and other lifting equipment that is considered part of the load. The maximum load capacity of the crane is about 18 metric tons.
The load carried has made the crane in such as way that it can carry the load to certain levels. Hence they also provide the chart which says about the types and quantities of load.Hence the option C look at the chart is correct.
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The disk spins about the fixed axis BB, which is inclined at the angle α to the vertical z-axis. A small block A is placed on the disk in its lowest position P at a distance r from the axis when the disk is at rest. The angular velocity ω = theta dot. is then increased very slowly, starting from zero. At what value of ω will the block slip, and at what value of θ will the slip first occur? Use the values α = 25°, r = 0.55 m, and μs = 0.67. What is the critical value of ω if α = 0?
Answers
Answer: A small block A is placed on the disk in its lowest position P at a distance r from the axis when the disk is at rest. The angular velocity
Explanation:
i need your help to answer in the picture plss help me!
Answers
this looks like its the different phases of a single cylinder 4 stroke engine what are you doing in the picture or assignment though matching the numbers to the descriptions on the side?
Explain how the horsepower of a sports car can be improved.
Answers
Answer:
with turbo or nos
Explanation:
Which of these include some basic characteristics of taxi services? (Select all that apply.)Transactions are often negotiated at the time of use.Many taxi services are one-person and mom-and-pop businesses.Few taxi services are as extensive in range as either urban mass transit orcommercial airlines options.They do not usually involve long-term planning, beyond a single use.
Answers
The basic characteristic of the taxi service is that some taxi services are as extensive in range as either urban mass transit or commercial airlines.
Waht is a taxi service?A taxi is a cab that one hired b a single person or a group and they have a nonshared ride. The taxi service is found in various international destinations all over the world and especially at the airports, restaurants and hotels. Some place's taxi services are extensive and include the urban transits.
Find out more informaion about the taxi services.
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What size resistor would produce a current flow of 5 Amps with a battery voltage of 12.6 volts
Answers
Answer:
resistance = 2.52 ohms
Explanation:
from the formula
V =IR
Voltage = (current)(resistance)
Resistance =
R=
R= 2.52 ohms
__________ is an example of an electrical device.
Plug
Cord
Cable
All of the above
Answers
Explanation:
is an example of an electrical device.
Cable
will anyone give me some food I am hungry
Answers
Answer:
ok
Explanation:
Answer:
yeah you will have it sir
The device in Figure P6.27 is a sloshing bath used to wash vegetable produce. For the configuration shown, use the relative velocity method to graphically determine the angular velocity of the water bath as the crank is driven clockwise at 75 rpm.
Answers
check photo (answer)
The angular velocity of the water bath as the crank is driven clockwise is 6.66rpm/ms.
How to calculate the angular velocity?From the complete information, we are to use the relative velocity method to determine the angular velocity of the water bath.
This will be:
60/V = 1085.4/120.58
Cross multiply.
(1085.4 × V) = (120.58 × 60)
V = (120.58 × 60/1085.4)
V = 6.66rpm/ms
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Which of the following workers are not likely to be paid during an election?
campaign press secretary
volunteer coordinator
poll worker
director of communications
Answers
Answer:
volunteer coordinator
Explanation:
because they are volunteering for that and in most of the cases they do not expect to be paid
Multiple Choice
Which option identifies why the engineer should choose the reverse engineering process in the following scenario?
A client has contacted an engineer to determine why a product is not selling. It is up to the engineer to gather information and reconfigure the product by using the most strategic process.
The client wants a functional analysis of the product.
There will be changes to the existing product.
The client will be comparing the product to its competition.
The client wants a brand new product designed
Answers
Answer:
2nd one
Explanation:
on edge 21
The option that identifies the engineer should choose the reverse engineering process in the following scenario is there will be changes to the existing product. The correct option is b.
What is reverse engineering?The distinction between the reverse engineering process and the engineering design process is quite slight. The engineering design process is a method that requires months of planning and design in order to provide a blueprint for a specific project.
The fundamental skill of learning to make something by working backward from an existing inspiration for your project is called reverse engineering.
Three contrasts are that the engineering design process is based more on mental and written learning than it is on physical learning (unlike the reverse engineering process).
Therefore, the correct option is b, There will be changes to the existing product.
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Which type of engineering is more of an exploratory process that does not need to create a product that fits limitations and specifications?
reverse engineering
materials engineering
documentation process
engineering design process
Answers
Answer:
\❤)engineering design process(❤/
Explanation:
(♨️)BRAINLEIST PLEASE(♨️)
A tank is filled with oil whose density is 850kg/m3. If the volume of the tank is 2.0m3, determine the amount of mass m in the tank
Answers
Answer:
1700 kg
Explanation:
Determine the total mass of the oil, m, by multiplying the density,
p= 850 kg/m3
to the volume, V = 2m3 or m=p x v.
m=pxv.
m= p x v = 850 kg / m3 x 2
m3 = 1700 kg
Which of the following procedures best applies to assessing the embodied energy of a building?
analyzing the building’s materials
analyzing the building’s function
analyzing the building’s age
analyzing the building’s blueprints
100 POINTS
Answers
analyzing building materials???????????? but i can try i think it is analyzing the materials of the building
How are engine bearings lubricated?
Answers
Answer:
Engine bearings are lubricated by motor oils constantly supplied in sufficient amounts to the bearings surfaces. Lubricated friction is characterized by the presence of a thin film of the pressurized lubricant
Explanation:
It is given thatopen parenthesis, x minus 2y, close parenthesis, times open parenthesis, x + 2y, close parenthesis, = 4Quantity A: x squared, minus, 4 times the quantity y squared Quantity B: 8 A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal. D. The relationship cannot be determined from the information given.
Answers
Answer:
Quantity B is greater.
Explanation:
Given:
(x -2y)(x +2y) = 4
A = x² -4y²
B = 8
Find:
the relationship between A and B
Solution:
The given expression can be expanded to give ...
x(x +2y) -2y(x +2y) = x² +2xy -2xy -4y² = x² -4y²
This is precisely the expression designated as A. Its value is 4.
4 < 8
A < B
Quantity B is greater.
Why is not adjust the depth of cut in the center of work piece in facing turning?
Answers
Answer:
I am not sure it's confusing
For the siphon shown in Figure, determine the flowrate out of the siphon and the absolute
pressure at the crest of the siphon assuming that there is no losses through the pipe.
2.00 m
Del
50-mm-diameter
Oil (s.g. =0.82)
5.00 m
Answers
Suppose a population of rabbits is introduced to an environment that has hot summers and extremely cold winters. Every winter, many rabbits die because of the cold and the lack of food. The rabbits have a range of ear sizes. Small Ears Medium Ears Large Ears Rabbits lose a lot of their body heat through their ears. Every winter, more of the large-eared rabbits die than the others. Every summer, more of the short-eared rabbits die than the others. At first, there are an equal number of rabbits with each size of ears. After several years, what will the frequency of ear sizes in the population be like?
Answers
Answer:
medium sized ears
Explanation:
Which tool or device is an example of a pneumatic power system that uses compressed air to tighten or loosen an object? a jackhammer a lifting system a turbine an impact driver
Answers
Answer:
A jackhammer.
Explanation:
A jackhammer is a pneumatic device that was invented by William Mcreavy. Later, Mcreavy sold the patent of jackhammer to Charles Brady King. The tool is a combination of chisel and hammer. The tool is powered by compressed air to tighten or loosen an object. By using pressurized air, jackhammers help workers to drill and lossen an object.
Therefore, option A is correct.
Answer:
Impact Driver
Explanation:
Which term is defined as the study of sound waves and their behaviors and interactions? propulsion acoustics hydraulics thermodynamics
Answers
Answer: i believe it’s acoustics
Explanation:
The radiation meter is showing radiation 2x as much as background. Is this a hot zone? If so why or why not?
Answers
Answer:
This is not a clear indication of the hot zone as the information of the radioactivity of the background is not provided clearly.
Explanation:
According to IAEA as well as NRCP, the hot area is defined on the basis of the radioactivity reading it shows instead of contrast or comparative reading from the background. The value of radiation activity which will be required to declare an area as hot zone is if it is greater than 0.1 mSv/h or [tex]1.5091\times 10^{29} kg^{-1} s^{-1}[/tex].
The component has an exponentially distributed reliability with a mean of 2000 hours what is the probability that it will fail after 3000 hours?
Answers
Answer:
ABCDEFGHIJKLMNOPQRSTUVWXYZ
1. A drawing of a cabinet shows that its dimensions are 9cm. by 4cm. The drawing indicates 1:50 scaling. What are the actual dimensions of the cabinet?
2. Bongbong is tasked to draw a floor plan with a scale of 1:100. If the total length of the actual house is 8 meters, what will be its corresponding measurement in centimeters in floor plan?
3.The length of a bedroom measures 2.5 m., what will be the measurement in centimeters to be used in the drawing if it is in 1:50 scale?
Answers
Explanation:
This means that for every 1 cm on the drawing, there is 80 cm in reality. To put it another way, take this
1:80 means that the building is 80 times the size of the drawing
80:1 means that the drawing is 80 times the size of the building
If it were 80:1, the drawing itself would be over 100m long.
A dryer is shaped like a long semi-cylindrical duct of diameter 1.5 m. The base of the dryer is occupied with water-soaked materials to be dried. The base is maintained at a temperature of 370K, while the dome of the dryer is maintained at 1000 K. If both surfaces behave as blackbody, determine the drying rate per unit length experienced by the wet materials.
Answers
Answer:
0.0371 kg/s.m
Explanation:
From the given information, let's have an imaginative view of the semi-cylinder; (The image is shown below)
Assuming the base surface of both ends of the cylinder is denoted by:
[tex]A_1 \ and \ A_2[/tex]
Thus, using the summation rule, the view factor [tex]F_{11[/tex] and [tex]F_{12[/tex] is as follows:
[tex]F_{11}+F_{12}=1[/tex]
Let assume the surface (1) is flat, the [tex]F_{11} = 0[/tex]
Now:
[tex]0+F_{12}=1[/tex]
[tex]F_{12}=1[/tex]
However, using the reciprocity rule to determine the view factor from the dome-shaped cylinder [tex]A_2[/tex] to the flat base surface [tex]A_1[/tex]; we have:
[tex]A_2F_{21} = A_{1}F_{12} \\ \\ F_{21} = \dfrac{A_1}{A_2}F_{12}[/tex]
Suppose, we replace DL for [tex]A_1[/tex] and
[tex]A_2[/tex] = [tex]\dfrac{\pi D}{2}[/tex]
Then:
[tex]F_{21} = \dfrac{DL}{(\dfrac{\pi D}{2}) L} \times 1 \\ \\ =\dfrac{2}{\pi} \\ \\ =0.64[/tex]
Now, we need to employ the use of energy balance formula to the dryer.
i.e.
[tex]Q_{21} = Q_{evaporation}[/tex]
But, before that; let's find the radian heat exchange occurring among the dome and the flat base surface:
[tex]Q_{21}= F_{21} A_2 \sigma (T_2^4-T_1^4) \\ \\ Q_{21} = F_{21} \times \dfrac{\pi D}{2} \sigma (T_2^4 -T_1^4)[/tex]
where;
[tex]\sigma = Stefan \ Boltzmann's \ constant[/tex]
[tex]T_1 = base \ temperature[/tex]
[tex]T_2 = temperature \ of \ the \ dome[/tex]
∴
[tex]Q_{21} = 0.64 \times (\dfrac{\pi}{2}\times 1.5) \times 5.67 \times 10^4 \times (1000^4 -370^4)\\ \\ Q_{21} = 83899.15 \ W/m[/tex]
Recall the energy balance formula;
[tex]Q_{21} = Q_{evaporation}[/tex]
where;
[tex]Q_{evaporation} = mh_{fg}[/tex]
here;
[tex]h_{fg}[/tex] = enthalpy of vaporization
m = the water mass flow rate
∴
[tex]83899.15 = m \times 2257 \times 10^3 \\ \\ m = \dfrac{83899.15}{ 2257 \times 10^3 }\\ \\ \mathbf{m = 0.0371 \ kg/s.m}[/tex]
The drying rate per unit length is 0.037 kg/S.m
Given data;
Base temperature (T1) = 370KTemperature of the dome (T2) = 1000KF[tex]_1_2[/tex] = 1.5mD = 1.5mBoltzmann's constant (δ) = [tex]5.67 * 10 ^-^8 W/m^2.K^4[/tex]From the attached diagram, the surface 1 is flat, it is a view factor, f[tex]_1_1[/tex] = 0.
Applying summation rule and solving the view factor from the base surface A[tex]_1[/tex] to the cylindrical dome A[tex]_2[/tex].
[tex]f_1_1+f_1_2=1[/tex]
Put F[tex]_1_2=0[/tex]
[tex]0+f_1_2=1[/tex]
This makes [tex]f_1_2=1[/tex]
Applying reciprocal rule and solving the view factor from the cylindrical dome A[tex]_2[/tex] to the base surface A[tex]_1[/tex].
[tex]A_2F_2_1=A_1F_1_2\\F_2_1=(\frac{A_1}{A_2})F_1_2[/tex]
Where A is the area of the surface.
Substitute DL for A[tex]_1[/tex] and [tex]\frac{\pi D}{2}[/tex] for A[tex]_2[/tex]
[tex]F_2_1 = \frac{DL}{(\frac{\pi D}{2}})L *1 = \frac{2 }{\pi } =2/3.14 = 0.64[/tex]
Using the energy balance equation to the dryer,
[tex]Q_2_1=Q_e_v_a_p[/tex]
Let's calculate the radiation heat exchange between the dome and the base surface per unit length by using the equation below
[tex]Q_2_1=F_2_1A_2[/tex]δ[tex](T_2^4-T_1^4)[/tex]
[tex]Q_2_1= F_2_1 * \frac{\pi D}{2}[/tex]δ[tex](T_2^4-T_1^4)[/tex]
substitute the respective values into the equation
[tex]Q_2_1=0.64*(\frac{\pi }{2}*1.5)*5.67*10^-^8*(1000^4-370^4)\\Q_2_1=8.3899.15W/m[/tex]
Mass flow rateLet's calculate the mass flow rate of water using the amount of heat required for drying up.
[tex]Q_2_1=Q_e_v_a_p\\Q_e_v_a_p=mh_f_g\\[/tex]
where [tex]h_f_g= 2257*10^3J/kg[/tex]
and this is the enthalpy of vaporization and mass flow rate of water.
[tex]83899.15=m*2257*10^3\\m=0.037kg/S.m[/tex]
The drying rate per unit length is 0.037kg/S.m
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