Distance 11.143 ft or thereabouts is Distance roughly how far the tree extends from its tip to its base.
How Far Is It?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting and ending position.
We obtain a quadratic equation by simplifying and expanding the left side:
2y^2 - 288y + 144 = 0
The quadratic formula is used to solve for y, and the result is: y = [288 (2882 - 4(2)(144)]
/(2(2))
y = [288 ± √58368]
y = 0.857 ft or /4 y = 84 foot
The only viable answer is: y 0.857 ft since y cannot be higher than 12 ft (the whole height of the tree).
The result of changing this number for y in the equation x + y = 12 ft is: x + 0.857 ft = 12 ft x 11.143 ft
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Calculate the number of CO2
molecules ( NCO2
) in 0.0734 mol
of CO2
Answer:
4.42 x 10^22 molecules
Explanation:
1 mole of CO2 has 6.022 x 10^23 molecules
=> 0.0734 x 6.022 x 10^23 = 4.420148 x 10^22 or 4.42 x 10^22
2. Transfer in energy to reach the highest amount of kinetic energy for both substance B and C.
3. Slowly transfer out energy from each substance. Note the temperature at which each substance changes phase.
Substance B changed to a liquid at
? °C.
Substance C changed to a liquid at
? °C.
4. Based on your observations above, which substance needed a greater decrease in kinetic energy in order to change phase?
The substance with (medium or low energy)
A physical change is when a substance's phase changes. Low molecular attraction material C requires more energy to be moved out, which means its kinetic energy must be reduced.
Energy transfer: What is it?Neither creation nor destruction of energy is possible. Yet, it is transferable from one type to another, preserving the system's overall energy.
In the liquid state, molecules or atoms have medium molecular affinity and are somewhat closer together than they are in the gaseous state, where they are widely apart and have low intermolecular forces of attraction.
As a material transforms from a gas to a liquid, its molecules condense and become closer to one another, creating a stronger molecular attraction.
Gas B has a medium level of molecular attraction, making it easy to liquify with little energy transfer, whereas gas C has a lower level of molecular attraction but a greater level of kinetic energy, requiring more energy transfer.
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Which of the following would most likely be a result of switching from geothermal energy to biomass energy as the primary energy source for a home? (5 points)
Amount of trash would increase in landfills
Combustion increases greenhouse gases
Deforestation would give way to land for crops
Fossil fuel consumption would be eliminated
The likely statement that would be a result of switching from geothermal energy to biomass energy as the primary energy source for a home is
Deforestation would give way to land for crops.
Option C is correct.
What is Deforestation?Deforestation is described as the removal of a forest or stand of trees from land that is then converted to non-forest use.
Switching from geothermal energy to biomass energy would result to increase the demand for organic materials, leading to deforestation and a loss of habitat for wildlife.
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What are all the elements that can double bond?
Many elements can form double bonds, but some of the most common ones include:
Carbon (C)
Oxygen (O)
Nitrogen (N)
Sulfur (S)
Selenium (Se)
Tellurium (Te)
Phosphorus (P)
Silicon (Si)
Germanium (Ge)
Tin (Sn)
These elements can form double bonds with other atoms of the same element, or with different elements. Double bonds occur when two atoms share two pairs of electrons.
Label the parts of the atom shown below?
A
B
C
The parts of the atom is as follows:
A.) Electrons
ElectronsB.) Neurons
ElectronsB.) NeuronsC.) Protons
What is an atom?An atom is defined as the indivisible part of an element that cannot further be broken down into smaller particles through a chemical process.
The various parts of an atom include the following:
Electrons: This is the outermost part of an atom of an element that are usually negatively charged.Neutrons: This is found in the inner nucleus of an atom and they do not bear an charges.Protons: They are also located at the nucleus of the atom and they are positively charged.Learn more about elements here:
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Answer:
A. electron
B. neutron
C. proton
Explanation:
12.For UN3090 LITHIUM METAL BATTERIES (including lithium alloy batteries), which special provision tells you what safety mark should be used?
The lithium metal batteries are used in many devices like cell phones, tablets and laptops. The special provision 149 tells you what safety mark should be used.
What is Lithium metal batteries?The primary batteries which have metallic lithium as an anode are called lithium metal batteries. Most of the lithium metal batteries are found to be non-rechargeable. There are three types of cells which are used in lithium batteries, they are cylindrical, prismatic and pouch cells.
The special provision 149 of the TDG regulations states that UN3090, LITHIUM METAL BATTERIES and UN3480 LITHIUM ION BATTERIES are forbidden for transport as cargo on a passenger aircraft.
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How much HCl (in moles) must be added to 1L of a buffer solution that is 0.84 M in ammonia and 0.96 M in ammonium chloride to result in a buffer solution of pH 8.56?
we need to add 0.20 moles of HCl to 1 liter of the buffer solution to achieve a pH of 8.56.
Steps
The Henderson-Hasselbalch equation for the buffer system is:
pH = pKa + log([A-]/[HA])
where pKa is the acid dissociation constant for ammonium ion (NH4+), [A-] is the concentration of ammonia (NH3), and [HA] is the concentration of ammonium ion (NH4+).
The pKa for NH4+ is 9.25, so:
pH = 9.25 + log([NH3]/[NH4+])
Substituting the given concentrations, we get:
8.56 = 9.25 + log([NH3]/0.96)
log([NH3]/0.96) = -0.69
[NH3]/0.96 = 0.21
[NH3] = 0.20 M
The balanced chemical equation for the reaction between HCl and NH3 can be used to determine how much HCl is necessary to reach this new concentration:
HCl + NH3 → NH4+ + Cl-
Calculating the amount of HCl required to convert some of the NH3 to NH4+ is all that is necessary because the buffer solution already includes NH4+ and Cl-. The required amount of NH4+ is:
[NH4+] = [NH3] = 0.20 M
The amount of HCl is needed is
0.20 mol NH3 × 1 mol HCl/1 mol NH3 = 0.20 mol HCl
Therefore, we need to add 0.20 moles of HCl to 1 liter of the buffer solution to achieve a pH of 8.56.
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Which of the following is used to keep track of the heat flow inside a calorimeter?
Any time a liquid loses or receives energy, the temperature of the liquid changes.To calculate the amount pf energy change, the calorimeter monitors the weight of the fluid as well as the temperature change.
In a calorimeter, what thermometer is used?The 6000 series calorimeters' control systems serve as the foundation for the 6772 Calorimetric Thermometer, a high precision temperatures measuring device.It is a crucial component of both the 6755 Solution Calorimeter and the 6725 Semi-micro Calorimeter.
What equipment is utilized in calorimetry?The calorimeter is a piece of equipment used in calorimetry, a procedure for calculating heat capacity and measuring the temperature of chemical processes or other physical changes.Among the most popular kinds are differential scanning operating, thermal micro cathode rays, titration calorimeters, and accelerated rate calorimeters.
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When you increase the amount of carbon dioxide in the atmosphere, you also increase the amount of _____ in the ocean.
Answer: Carbonic acid
When you increase the amount of carbon dioxide in the atmosphere, you also increase the amount of carbonic acid in the ocean.
What happens when you increase the amount of carbon dioxide?Carbon dioxide is absorbed from the atmosphere into the ocean through a process called "oceanic uptake," which is facilitated by the exchange of gases at the air-sea interface.
As more carbon dioxide is emitted into the atmosphere, the concentration of carbon dioxide in the ocean increases, leading to a phenomenon called "ocean acidification".
Ocean acidification can have a number of negative impacts on marine organisms, including reduced growth rates and weakened shells or skeletons.
Thus, we can conclude this increases the amount of carbonic acid in ocean.
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2KI(aq)+Pb(NO3)2(aq)→PbI2(s)+2KNO3(aq)
2.80 mol of KI
1.00 mol of Pb(NO3)2
0.765 mol of PbI2
1.53 mol of KNO3
a) Write the limiting reagent. (express as a chemical formula)
b) Provide the masses of the reactants. (separate integers with commas)
c) Provide the masses of the products. (separate integers with commas)
d) Write the theoretical yield of Pbl2.
e) Write the percent yield of Pbl2.
The limiting reactant in this reaction is lead nitrate Pb(NO₃)₂. The mass of lead nitrate in this reaction is 331.2 g. The percent yield of PbI₂ is 76.5%.
What is percent yield ?The percent yield of a reaction is the ratio of its actual yield to the theoretical yield multiplied by 100.
The limiting reactant of a reaction is the reactant which is not in sufficient quantity and as soon as it is consumed, the reaction stopes.
As per the given balanced equation, 2 moles of KI reacts with one mole of lead nitrate. Then, 2.8 moles of KI need 1.4 moles of lead nitrate. Hence, Pb(NO₃)₂ is the limiting reactant.
molar mass of Pb(NO₃)₂ = 331.2 g/mol
molar mass of KI = 166 g/mol
mass of 2 moles = 332 g
mass of PbI₂ = 461 g/mol
mass of 0.765 moles = 352.6 g.
molar mass of KNO₃ = 101 g
mass of 1.53 moles = 154 .5 g.
One mole of Pb(NO₃)₂ gives one mole of PbI₂. Hence the theoretical yield is one mole. But the actual yield of the product lead iodide is 0.765 moles.
then percent yield = 0.765/1 × 100 = 76.5 %.
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Scientists are studying several genes. Breeding experiments show that 10 percent of the offspring are recombinants for genes A and B. Crosses with genes C and D produce 15 percent recombinants.
What can be said about the two pairs of genes?
Genes A and B are on the same chromosome; genes C and D are located on different chromosomes.
Genes A and B are on the same chromosome; genes C and D are located on different chromosomes.
The distance between genes A and B is greater than the distance between genes C and D.
The distance between genes A and B is greater than the distance between genes C and D.
Genes A and B are on different chromosomes; genes C and D are located on the same chromosome.
Genes A and B are on different chromosomes; genes C and D are located on the same chromosome.
The distance between genes A and B is less than the distance between genes C and D.
Between genes A and B, there is a wider separation or distance than between genes C and D.
What proportion of recombinants do we use to assess if two genes are related?The chance of recombination is 50% when the genes are distant from one another or on different chromosomes. In this instance, the two loci's allele inheritance is independent. Recombination frequency less than 50% indicates a connection between the two loci.
Which applications of genetic mapping are crucial?A illness that is passed from parent to kid may be linked to one or more genes with certainty thanks to genetic mapping. Moreover, mapping can reveal which chromosome a gene is located on and where exactly it is located on that chromosome.
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A term for using radioactive decay to determine the age of once-living fossils is-------
Answer:
I believe the answer is carbon dating
Explanation:
How many molecules are in .5 moles of PCI3?
3.011 × 10²³ molecules are in 0.5 moles of PCl₃.
What is Mole?
The mole is an amount unit similar to familiar units like pair, dozen, gross, etc. It provides a specific measure of the number of atoms or molecules in a bulk sample of matter.
A mole is defined as the amount of substance containing the same number of atoms, molecules, ions, etc. as the number of atoms in a sample of pure 12C weighing exactly 12 g.
Given,
Moles of PCl₃ = 0.5 moles
We know that 1 mole = 6.023 × 10²³ molecules
Thus, 0.5 moles will have 6.023 × 10²³ × 0.5 molecules.
= 3.011 × 10²³ molecules
Therefore, 3.011 × 10²³ molecules are in 0.5 moles of PCl₃.
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Examine the image and assess the relationship of the atoms shown by
Answer:
The rearrangement of atoms is a chemical change.
Explanation:
Write a balanced chemical equation for the complete neutralization reaction between each pair of reactants
CH3CO2H and NaOH
HCI and CaCO3
The balanced complete neutralization reaction between each pair of reactants are-
CH₃COOH + NaOH → CH₃COONa + H₂O
CaCO₃ + HCl → CaCl₂ + H₂CO₃
What is balancing of a reaction?
Balancing of a reaction is based on Law of conservation of mass where we have to balance masses of the reactants and products in LHS and RHS of a chemical reaction.
For e.g -
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂
Therefore, the balanced complete neutralization reaction between each pair of reactants are-
CH₃COOH + NaOH → CH₃COONa + H₂O
CaCO₃ + HCl → CaCl₂ + H₂CO₃
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a ballon contains 7.36 g of oxygen gas, how many oxygen molecules are in the balloon
There are approximately 1.39 × 10²³ oxygen molecules in the balloon.
What is the characteristics of oxygen gas?Oxygen is colorless, odorless and tasteless gas and it supports life. It is noncombustible but actively supports the burning of combustible materials.
To calculate number of oxygen molecules in the balloon, we use the Avogadro's number, which is equal to 6.022 × 10²³ molecules per mole of substance.
As moles of oxygen gas = mass of oxygen gas / molar mass of oxygen gas
moles of oxygen gas = 7.36 g / 32 g/mol
So, moles of oxygen gas = 0.23 mol
Now we use the Avogadro's number to calculate number of oxygen molecules in the balloon:
As number of oxygen molecules = moles of oxygen gas × Avogadro's number
number of oxygen molecules = 0.23 mol × 6.022 × 10²³ molecules/mol
number of oxygen molecules = 1.39 × 10²³ molecules
Therefore, there are approximately 1.39 × 10²³ oxygen molecules in the balloon.
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I need help with work
The limiting reactant is completely used up in the reaction. There will be an excess of other reactants at the end of the reaction. The limiting reactant dictates the amount of product.
What is limiting reactant?Reactant will be the limiting reactant depends on the molar ratios of all the reactants in the experiment (and the coefficients in the balanced reaction equation), so it will absolutely vary depending on the reaction setup and conditions, which is why it cannot always be the same for a given reaction.
Because the molar ratios of the reactants dictate which of them will be the limiting one, it is not true that the one with the lowest mass will always be the limiting reactant.
Therefore, The limiting reactant is completely used up in the reaction. There will be an excess of other reactants at the end of the reaction.
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NUMBER 4, SOMEONE EXPLAIN TO ME HOW TO SOLVE THIS
The limiting reagent is chlorine.
The amount of excess reagent that will remain is 0.918 g of Al.
Stoichiometric problemThe balanced chemical equation for the reaction is:
2Al + 3Cl2 → 2AlCl3
The molar mass of Al is 26.98 g/mol and the molar mass of Cl2 is 70.90 g/mol. We can use these values to calculate the number of moles of each reactant:
moles of Al = 2.70 g / 26.98 g/mol = 0.100 mol
moles of Cl2 = 4.05 g / 70.90 g/mol = 0.057 mol
According to the balanced equation, 2 moles of Al react with 3 moles of Cl2 to produce 2 moles of AlCl3. Therefore, the amount of AlCl3 produced by each reactant is:
Al: (0.100 mol Al) x (2 mol AlCl3 / 2 mol Al) = 0.100 mol AlCl3
Cl2: (0.057 mol Cl2) x (2 mol AlCl3 / 3 mol Cl2) = 0.038 mol AlCl3
Since Cl2 produces less AlCl3, it is the limiting reagent. The amount of excess Al can be calculated as follows:
moles of excess Al = moles of Al - (moles of Cl2 x (2 mol Al / 3 mol Cl2))
moles of excess Al = 0.100 mol - (0.057 mol x (2/3))
moles of excess Al = 0.034 mol
The mass of excess Al can then be calculated using its molar mass:
mass of excess Al = moles of excess Al x molar mass of Al
mass of excess Al = 0.034 mol x 26.98 g/mol
mass of excess Al = 0.918 g
Therefore, 0.918 g of Al remains unreacted.
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how do you find frequency from wavelength
The algorithm can be used to determine a wave's frequency if its wavelength is known: Frequency ⇒ 1/wavelength.
Define wavelength.
The extent of a wave is expressed by its wavelength. The wavelength is the distance between one wave's peak and the next wave's crest. The wavelength can also be determined by measuring from the "trough" (bottom) of one wave to the "trough" of the following wave.
Wavelength and frequency are inversely related. The number of waves that pass a fixed location in a unit of time is referred to as frequency. It also explains how many cycles or vibrations a body in periodic motion experiences in a given unit of time.
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Sodium hydroxide, NaOHNaOH, is a strong base that is used in industrial synthesis and processes such as making paper.
What is the mass of 2.20 x1022 formula units of NaOHNaOH (Molar mass = 40.0 g/molg/mol)?
Express the mass in grams to three significant figures.
Answer:
the mass of 2.20 x 10^22 formula units of NaOH is 1.46 grams to three significant figures.
Explanation:
To calculate the mass of 2.20 x 10^22 formula units of NaOH, we can use the following steps:
Calculate the number of moles of NaOH:
Number of moles = Number of formula units / Avogadro's number
Number of moles = 2.20 x 10^22 / 6.022 x 10^23
Number of moles = 0.0365 mol
Calculate the mass of NaOH:
Mass = Number of moles x Molar mass
Mass = 0.0365 mol x 40.0 g/mol
Mass = 1.46 g
Therefore, the mass of 2.20 x 10^22 formula units of NaOH is 1.46 grams to three significant figures.
5.0 mol Al reacts with 6.0 mol O2 to form Al2O3.
How many moles of Al2O3 form when all 5.0 moles of Al are used up?
Answer:
2.5 moles of aluminum oxide will form when all 5.0 moles of aluminum are used up.
Explanation:
The balanced chemical equation for the reaction between aluminum (Al) and oxygen (O2) to form aluminum oxide (Al2O3) is:
4 Al + 3 O2 → 2 Al2O3
This equation shows that 4 moles of aluminum react with 3 moles of oxygen to form 2 moles of aluminum oxide.
According to the problem, we have 5.0 mol of aluminum, which is more than enough to react with the oxygen available, and the limiting reagent in this reaction will be aluminum. Therefore, we need to use the mole ratio from the balanced equation to find out how many moles of aluminum oxide will form when all 5.0 moles of aluminum are used up.
From the equation, we can see that for every 4 moles of aluminum, 2 moles of aluminum oxide will form. Therefore, the mole ratio of aluminum to aluminum oxide is 4:2, or simplified, 2:1.
Using this mole ratio, we can calculate the number of moles of aluminum oxide that will form when all 5.0 moles of aluminum react:
5.0 mol Al × (2 mol Al2O3/4 mol Al) = 2.5 mol Al2O3
Therefore, 2.5 moles of aluminum oxide will form when all 5.0 moles of aluminum are used up.
Salt crystals, such as KCI hold together well. Which of the following provides a strong attraction to the potassium lon? A) Chlorine anlon B Chlorine cations Potasslum anlons D) Potassium cations
The Chlorine anlon provides a strong attraction to the potassium ion. That is option A.
What is an anion and a cation?An anion is defined as the negatively-charged ions which means that they have more electrons than protons due to having gained one or more electrons.
A cation is defined as the positively-charged ions which means that atoms or groups of atoms that have more protons than electrons due to having lost one or more electrons.
The potassium is a cation while the chlorine atom is an anion in the crystal salts.
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If Geraldine is told that the molar mass of the compound she was working with in the previous problem is approximately 60 grams per mole, what is the molecular formula of the compound?
Molecular formula mass = empirical formula mass x n
We know that the molecular formula mass is approximately 60 g/mol, so that we can set up an equation:
60 g/mol = 30 g/mol x n
Solving for "n," we get:
n = 2
This means that the molecular formula of the compound is twice the empirical formula of C2H4O2. Therefore, the compound is acetic acid.
What is acetic acid?Acetic acid is one of the simplest carboxylic acids and is an important chemical reagent and industrial chemical. It is widely used in the production of vinyl acetate monomer (VAM), which is used in manufacturing polymers, adhesives, and coatings. It is also used as a solvent and preservative in food and other products.
What is the main component of vinegar?Ethanoic acid is the main component of vinegar, typically a 5% solution of acetic acid in water. In addition to its industrial and commercial uses, acetic acid also has some medical applications, such as in treating ear infections and as a topical antimicrobial agent.
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I have a balloon with an initial temperature of 22 degrees Celcius and a volume of 5.50 liters. What will be the volume of the balloon when it is fully cooled by my refrigerator? The temperature inside my refrigerator is about 4 degrees Celcius.
The volume of the balloon is 12 it reaches this then it is fully cooled by my refrigerator.
What is volume ?
Space is occupied by every three-dimensional object. Its volume serves as a gauge for this area. The area contained by an object's limits in three-dimensional space is referred to as its volume. Another name for it is an object's capacity.
What is temperature ?
The movement of these particles likewise increases with rising temperature. A thermometer or a calorimeter are used to measure temperature.
Therefore, The volume of the balloon is 12 it reaches this then it is fully cooled by my refrigerator.
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The mass of H2 produced is 0.657 g.
What is a chemical reaction?Generally, The balanced equation is:
2 HCl → H2 + Cl2
The molar mass of HCl is 36.5 g/mol (1+35.5).
First, we need to determine the number of moles of HCl:
23.8 g HCl × (1 mol HCl/36.5 g HCl) = 0.651 mol HCl
From the balanced equation, we can see that 2 moles of HCl produce 1 mole of H2:
2 mol HCl → 1 mol H2
So, we can calculate the number of moles of H2 produced:
0.651 mol HCl × (1 mol H2/2 mol HCl) = 0.326 mol H2
Finally, we can use the molar mass of H2 to convert the number of moles of H2 to grams:
0.326 mol H2 × 2.016 g H2/mol = 0.657 g H2
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what is the percentage composition of magnesium hydroxide in this substance. (Mg(OH)2)
The percentage composition of magnesium hydroxide in the substance (Mg(OH)2) is 41.67%.
Magnesium hydroxide (Mg(OH)2) is of one magnesium (Mg) atom and two hydroxides (OH) ions.
The atomic mass of Mg = 24.31 g/mol
the atomic mass of O and H = 15.99 g/mol & 1.01 g/mol
The molecular weight of Mg(OH)2 is:
Mg(OH)2 = (24.31 g/mol) + 2(15.99 g/mol + 1.01 g/mol)
= 58.32 g/mol
To calculate percentage composition, we need to calculate the mass of magnesium in one molecule of (Mg(OH)2)
Mass of Mg = 24.31 g/mol
The percentage composition of magnesium in Mg(OH)2 is:
(24.31 g/mol / 58.32 g/mol) x 100% ≈ 41.67%
Therefore, the percentage composition of magnesium in Mg(OH)2 is approximately 41.67%.
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Phosphorus pentachloride decomposes according to the chemical equation
PCl5(g)↽−−⇀PCl3(g)+Cl2(g)c=1.80 at 250 ∘C
A 0.2377 mol
sample of PCl5(g)
is injected into an empty 3.45 L
reaction vessel held at 250 ∘C.
Calculate the concentrations of PCl5(g)
and PCl3(g)
at equilibrium.
[PCl5]=?
[PCl3]=?
The concentrations of PCl5(g) and PCl3(g) at equilibrium are 0.0524 M and 0.0165 M, respectively.
StepsFor the given reaction, the equilibrium constant (Kc) is 1.80 at 250 °C.
The concentration of PCl5(g) is 0.2377 mol/3.45 L = 0.0689 M at the beginning of the process.
Let x M be the PCl3(g) concentration at equilibrium. Hence, x M is likewise the concentration of Cl2(g) at equilibrium.
Using the equilibrium constant expression:
Kc = [PCl3][Cl2]/[PCl5]
1.80 = x * x / (0.0689 - x)
Solving for x using the quadratic formula:
x = [(-1) ± sqrt(1 + 4 * 1.80 * 0.0689)] / (2 * 1)
x = 0.0165 M or 0.0524 M
Therefore, at equilibrium:
[PCl5] = 0.0689 - x = 0.0524 M
[PCl3] = x = 0.0165 M
So, the concentrations of PCl5(g) and PCl3(g) at equilibrium are 0.0524 M and 0.0165 M, respectively.
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A metal has a specific heat of 0.424 J/gC. You have 85 g of the metal at an initial temperature of 25 C. You added 650 J of heat to the metal. What is the final temperature of the metal?
The maximum temperature of metal is 1,381,250 J/gC.
How can one measure temperature?The heat capacity is defined as the heat-to-temperature change ratio, or C.C=qΔTmC=(650J)(25∘C)(85)=1,381,250J∘/gCCan a substance withstand how much heat?The proportion of heat absorption to temperature change in a substance. Calories per degree are commonly used to express the amount of material being taken into account, which is frequently a mole (the molecular weight in grams). The heat capacity in calories per gram is referred to as specific heat.The heat capacity, also known as the thermal capacity, is the amount of heat necessary to induce a specific mass of material to change its temperature by a unit.For more information on heat capacity kindly visit to
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In an isosceles right triangle, the length of the hypotenuse is 6 units. Which measurement is NOT associated with the triangle?
a. 45° degrees
b. 90° degrees
c. 6√2
d. 3√2
(30 points)
Answer:
Therefore, the answer is none of the above; all options are associated with the triangle.
Explanation:
In an isosceles right triangle, the two legs are congruent, and each angle other than the right angle is 45 degrees. Since the hypotenuse of the triangle is 6 units, each leg has a length of:
leg length = hypotenuse / √2 = 6 / √2
This can be simplified by multiplying the numerator and denominator by √2:
leg length = (6 / √2) * (√2 / √2) = 6√2 / 2 = 3√2
Therefore, the length of each leg is 3√2 units.
Option (c) 6√2 is associated with the triangle as it is the length of the hypotenuse.
Option (a) 45° degrees is associated with the triangle as it is one of the acute angles of the isosceles right triangle.
Option (b) 90° degrees is associated with the triangle as it is the right angle of the isosceles right triangle.
Option (d) 3√2 is associated with the triangle as it is the length of each leg of the isosceles right triangle.
Therefore, the answer is none of the above; all options are associated with the triangle.
Consider the specific heats
H2O(s) = 2.09 J/g ·
◦C,
H2O (ℓ) = 4.18 J/g ·
◦C, and
H2O(g) = 2.03 J/g ·
◦C.
The heat of fusion for water is 334 J/g and
its heat of vaporization is 2260 J/g. Calculate
the amount of heat required to convert 31 g
of ice at −21◦C completely to liquid water at
42◦C.
Answer in units of kJ.
Answer:
First, we need to calculate the amount of heat required to raise the temperature of ice from -21°C to 0°C:
q1 = m × C_solid × ΔT = 31 g × 2.09 J/g·°C × (0°C - (-21°C)) = 1341.09 J
Next, we need to calculate the amount of heat required to melt the ice at 0°C:
q2 = m × ΔH_fusion = 31 g × 334 J/g = 10354 J
Then, we need to calculate the amount of heat required to raise the temperature of the liquid water from 0°C to 42°C:
q3 = m × C_liquid × ΔT = 31 g × 4.18 J/g·°C × (42°C - 0°C) = 5201.56 J
Finally, we need to calculate the amount of heat required to vaporize the liquid water at 100°C:
q4 = m × ΔH_vaporization = 31 g × 2260 J/g = 70060 J
The total amount of heat required is the sum of all four steps:
q_total = q1 + q2 + q3 + q4 = 86857.65 J
Converting to kJ:
q_total = 86.85765 kJ
Therefore, the amount of heat required to convert 31 g of ice at -21°C to liquid water at 42°C is approximately 86.9 kJ.
Explanation: