Chemical Principles
8th Edition
ISBN: 9781305581982
Author: Steven S. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Chapter 10, Problem 14E
(a)
Interpretation Introduction
Interpretation:
The most likely arrangement of molecules should be calculated along with the number of microstates for the given arrangement.
Concept Introduction:
A specific away in which energy of system can be arranged is known as a microstate.
The formula which is used to calculate the possible combinations of each arrangement:
(b)
Interpretation Introduction
Interpretation:
The probability of finding the gas in most likely arrangement should be calculated.
Concept Introduction:
The mathematical expressionfor finding the probability:
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Chapter 10 Solutions
Chemical Principles
Ch. 10 - For the process A(l)A(g) , which direction is...Ch. 10 - Prob. 2DQCh. 10 - Prob. 3DQCh. 10 - Prob. 4DQCh. 10 - Prob. 5DQCh. 10 - Prob. 6DQCh. 10 - Predict the sign of S for each of the following...Ch. 10 - Prob. 8DQCh. 10 - Prob. 9DQCh. 10 - At 1 atm, liquid water is heated above 100°C. For...
Ch. 10 - Prob. 11DQCh. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Consider the following energy levels, each capable...Ch. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - Which of the following involve an increase in the...Ch. 10 - Prob. 19ECh. 10 - Choose the substance with the larger positional...Ch. 10 - In the roll of two dice, what total number is the...Ch. 10 - Entropy can be calculated by a relationship...Ch. 10 - Calculate the energy required to change the...Ch. 10 - For nitrogen gas the values of CvandCp at 25°Care...Ch. 10 - Consider a rigid, insulated box containing 0.400...Ch. 10 - One mole of an ideal gas is contained in a...Ch. 10 - One mole of an ideal gas with a volume of 1.0 L...Ch. 10 - A cylinder with an initial volume of 10.0 L is...Ch. 10 - The molar heat capacities for carbon dioxide at...Ch. 10 - The molar entropy of helium gas at 25°C and 1.00...Ch. 10 - Consider the process A(l)A(g)75C155C which is...Ch. 10 - A sample of ice weighing 18.02 g, initially at...Ch. 10 - Calculate the entropy change for a process in...Ch. 10 - Calculate the change in entropy that occurs...Ch. 10 - The synthesis of glucose directly from CO2andH2O...Ch. 10 - A green plant synthesizes glucose by...Ch. 10 - Entropy has been described as “time’s arrow.”...Ch. 10 - For a gas phase reaction, what do you concentrate...Ch. 10 - What determines Ssurr for a process? To calculate...Ch. 10 - Predict the sign of Ssurr for the following...Ch. 10 - Calculate Ssurr for the following reactions at...Ch. 10 - For each of the following pairs of substances,...Ch. 10 - Predict the sign of S for each of the following...Ch. 10 - Prob. 44ECh. 10 - Prob. 45ECh. 10 - For the reaction CS2(g)+3O2(g)CO2(g)+2SO2(g) S is...Ch. 10 - For the reaction C2H2(g)+4F2(g)2CF4(g)+H2(g) S is...Ch. 10 - Ethanethiol ( C2H5SH ; also called ethyl...Ch. 10 - For mercury at 1 atm, the enthalpy of vaporization...Ch. 10 - The enthalpy of vaporization of ethanol is 38.7...Ch. 10 - For ammonia (NH3) the enthalpy of fusion is 5.65...Ch. 10 - It is quite common for a solid to change from one...Ch. 10 - As O2(l) is cooled at 1 atm, it freezes at 54.5 K...Ch. 10 - Prob. 54ECh. 10 - The value of G for the reaction...Ch. 10 - Of the functions H,S,andG , which dependsmost...Ch. 10 - For the reaction at 29° K, 2NO2(g)N2O4(g) the...Ch. 10 - Consider the reaction...Ch. 10 - Consider the reaction 2POCl3(g)2PCl3(g)+O2(g) a....Ch. 10 - Consider two reactions for the production of...Ch. 10 - Prob. 61ECh. 10 - Prob. 62ECh. 10 - When most biological enzymes are heated, they...Ch. 10 - For the reaction 2O(g)O2(g) a. predict the signs...Ch. 10 - Hydrogen cyanide is produced industrially by the...Ch. 10 - A reaction at constant T and P is spontaneous as...Ch. 10 - G predicts spontaneity for a reaction at constant...Ch. 10 - Using thermodynamic data from Appendix 4,...Ch. 10 - Prob. 69ECh. 10 - Using data from Appendix 4, calculate G for...Ch. 10 - Prob. 71ECh. 10 - One of the reactions that destroys ozone in the...Ch. 10 - Hydrogen sulfide can be removed from natural gas...Ch. 10 - Consider the autoionization of water at 25°C:...Ch. 10 - How can one estimate the value of K at...Ch. 10 - The standard free energies of formation and the...Ch. 10 - Consider the reaction...Ch. 10 - Prob. 78ECh. 10 - Consider the following reaction at 800. K:...Ch. 10 - Consider the following reaction at 298 K:...Ch. 10 - For the reaction A(g)+2B(g)C(g) the initial...Ch. 10 - Consider the following diagram of free energy (G)...Ch. 10 - Calculate G for H2O(g)+12O2(g)H2O2(g) at600. K,...Ch. 10 - Cells use the hydrolysis of adenosine...Ch. 10 - Carbon monoxide is toxic because it bonds much...Ch. 10 - One reaction that occurs in human metabolism is...Ch. 10 - At 25.0°C, for the reaction 2NO2(g)N2O4(g) the...Ch. 10 - Consider the relationship ln(K)=HRT+SR The...Ch. 10 - a. Use the equation in Exercise 88 to determine H...Ch. 10 - The equilibrium constant K for the reaction...Ch. 10 - The equilibrium constant for a certain reaction...Ch. 10 - A sample of a monatomic ideal gas at 1.00 atm...Ch. 10 - A sample of 1.75 moles of H2(Cv=20.5JK-1mol-1) at...Ch. 10 - A 1.50-mole sample of an ideal gas is allowed to...Ch. 10 - Consider 1.00 mole of CO2(g) at 300. K and 5.00...Ch. 10 - Prob. 96ECh. 10 - A mixture of hydrogen gas and chlorine gas...Ch. 10 - When the environment is contaminated by a toxic...Ch. 10 - If you calculate a value for G for a reaction...Ch. 10 - Given the following illustration, what can be said...Ch. 10 - Some water is placed in a coffee cup calorimeter....Ch. 10 - Using Appendix 4 and the following data, determine...Ch. 10 - Prob. 103AECh. 10 - Human DNA contains almost twice as much...Ch. 10 - The enthalpy of vaporization of chloroform (CHCl3)...Ch. 10 - Two crystalline forms of white phosphorus are...Ch. 10 - Monochloroethane (C2H5Cl) can be produced by...Ch. 10 - Acrylonitrile is the starting material used in the...Ch. 10 - Prob. 109AECh. 10 - Many biochemical reactions that occur in cells...Ch. 10 - Consider the following reaction at 35°C:...Ch. 10 - Consider the reaction H2(g)+Br2(g)2HBr(g) where...Ch. 10 - At 1500 K the process I2(g)2I(g)10atm10atm is not...Ch. 10 - Using the following data, calculate the value of...Ch. 10 - Sodium chloride is added to water (at 25°C) until...Ch. 10 - Prob. 116AECh. 10 - Prob. 117AECh. 10 - The deciding factor on why HF is a weak acid and...Ch. 10 - Prob. 119AECh. 10 - Calculate the entropy change for the vaporization...Ch. 10 - The standard entropy values (S°) for...Ch. 10 - Calculate the values of S and G for each of the...Ch. 10 - Calculate the changes in free energy, enthalpy,...Ch. 10 - Consider the isothermal expansion of 1.00 mole of...Ch. 10 - A 1.00-mole sample of an ideal gas in a vessel...Ch. 10 - One mole of an ideal gas with a volume of 6.67 L...Ch. 10 - Which of the following reactions (or processes)...Ch. 10 - For rubidium Hvap=69.0kJ/mol at 686°C, its...Ch. 10 - Given the thermodynamic data below, calculate S...Ch. 10 - Consider the reaction: H2S(g)+SO2(g)3S(g)+2H2O(l)...Ch. 10 - The following reaction occurs in pure water:...Ch. 10 - Consider the dissociation of a weak acid HA...Ch. 10 - Consider the reaction: PCl3(g)+Cl2(g)PCl5(g) a....Ch. 10 - The equilibrium constant for a certain reaction...Ch. 10 - Consider a 2.00-mole sample of Ar at 2.00 atm...Ch. 10 - Prob. 136CPCh. 10 - One mole of an ideal gas undergoes an isothermal...Ch. 10 - At least some of what is in the following quoted...Ch. 10 - You have a 1.00-L sample of hot water (90.°C)...Ch. 10 - Consider two perfectly insulated vessels. Vessel 1...Ch. 10 - If wet silver carbonate is dried in a stream of...Ch. 10 - Consider a weak acid HX. If a 0.10 M solution of...Ch. 10 - Using data from Appendix 4, calculate H , G , and...Ch. 10 - One mole of a monatomic ideal gas (for which...Ch. 10 - Consider the system A(g)B(g) a. 25°C. a. Assuming...Ch. 10 - Liquid water at 25°C is introduced into an...Ch. 10 - Consider 1.00 mole of an ideal gas that is...Ch. 10 - Prob. 148CPCh. 10 - Consider the reaction 2CO(g)+O2(g)2CO2(g) a. Using...Ch. 10 - Prob. 150CPCh. 10 - Prob. 151CPCh. 10 - Consider the following Cp values for N2(g) :...Ch. 10 - Benzene (C6H6) has a melting point of 5.5°C and...Ch. 10 - Prob. 154MPCh. 10 - Prob. 155MP
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- Define the following: a. spontaneous process b. entropy c. positional probability d. system e. surroundings f. universearrow_forwardLimestone is predominantly CaCO3, which can undergo the reaction CaCO3(s)CaO(s)+CO2(g). We know from experience that this reaction is not spontaneous, yet S for the reaction is positive. How can the second law of thermodynamics explain that this reaction is not spontaneous?arrow_forwardThe reaction N2(g)+3H2(g)2NH3(g) is spontaneous at room temperature but becomes nonspontaneous at a much higher temperature. From this fact alone, obtain the signs of H, and S, assuming that H and S do not change much with temperature. Explain your reasoningarrow_forward
- Consider the reaction of 2 mol H2(g) at 25C and 1 atm with 1 mol O2(g) at the same temperature and pressure to produce liquid water at these conditions. If this reaction is run in a controlled way to generate work, what is the maximum useful work that can be obtained? How much entropy is produced in this case?arrow_forwardThere is another free energy state function, the Helmholtz free energy (A), defined as A = E — TS. Comparing this to the definition of G, we see that internal energy has replaced enthalpy in the definition. Under what conditions would this free energy tell us whether or not a process is spontaneous?arrow_forward10.51 The combustion of acetylene was used in welder's torches for many years because it produces a very hot flame: C2H2(g)+52O2(g)2CO2(g)+H2O(g) H= -1255.5 kJ (a) Use data in Appendix E to calculate S for this reaction, (b) Calculate G and show that the reaction is spontaneous at 25°C. (c) Ls there any temperature range in which this reaction is not spontaneous? (d) Do you think you could use Equation 10.4 to calculate such a temperature range reliably? Explain your answer.arrow_forward
- What happens to the entropy of the universe during a spontaneous process?arrow_forward10.69 If a sample of air were separated into nitrogen and oxygen molecules (ignoring other gases present), what would be the sign of for this process? Explain your answer. The next four questions relate to the following paragraph [Frank L. Lambert, Journal of Chemical Education, 76(10), 1999, 1385]. "The movement of macro objects from one location to another by an external agent involves no change in the objects' physical (thermodynamic) entropy. The agent of movement undergoes a thermodynamic entropy increase in the process."arrow_forwardWhat is the second law of thermodynamics? For any process, there are four possible sign combinations for Ssys and Ssurr. Which sign combination(s) always give a spontaneous process? Which sign combination(s) always give a non-spontaneous process? Which sign combination(s) may or may not give a spontaneous process?arrow_forward
- What is entropy? Why is entropy important?arrow_forwardHydrogen sulfide can be removed from natural gas by the reaction 2H2S(g)+SO2(g)3S(s)+2H2O(g) Calculate G and K (at 298 K) for this reaction. Would this reaction be favored at a high or low temperature?arrow_forwardThe reaction CO2(g)+H2(g)CO(g)+H2O(g) is not spontaneous at room temperature but becomes spontaneous at a much higher temperature. What can you conclude from this about the signs of H and S , assuming that the enthalpy and entropy changes are not greatly affected by the temperature change? Explain your reasoning.arrow_forward
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