Chemistry Atoms First2e
2nd Edition
ISBN: 9781947172647
Author: OpenStax
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 12, Problem 9E
Consider a system similar to the one in Figure 128, except that it contains six particles instead of four. What is the probability of having all the particles in only one of the two boxes in the case? Compare this with the similar probability for the system of four particles that we have derived to be equal to
What does this comparison tell us about even larger systems?
Figure 12.8 The sixteen microstates associated with placing four particles in two boxes are shown. The microstates are collected into five distributions-(a), (b), (c), (d), and (e)-based on the numbers of particles in each box.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Chemistry Atoms First2e
Ch. 12 - What is a spontaneous reaction?Ch. 12 - What is a nonspontaneous reaction?Ch. 12 - Indicate whether the following processes are...Ch. 12 - A helium-filled balloon spontaneously deflates...Ch. 12 - Many plastic materials are organic polymers that...Ch. 12 - In Figure 12.8 all possible distributions and...Ch. 12 - In Figure 12.8 all possible distributions and...Ch. 12 - How does the process described in the previous...Ch. 12 - Consider a system similar to the one in Figure...Ch. 12 - Consider the system shown in Figure 12.9. What is...
Ch. 12 - Consider the system shown in Figure 12.9. What is...Ch. 12 - Arrange the following sets of systems in order of...Ch. 12 - At room temperature, the entropy of the halogens...Ch. 12 - Consider two processes: sublimation of I2(s) and...Ch. 12 - Indicate which substance in the given pairs has...Ch. 12 - Predict the sign of the entropy change for the...Ch. 12 - Predict the sign of the entropy change for the...Ch. 12 - Write the balanced chemical equation for the...Ch. 12 - Write the balanced chemical equation for the...Ch. 12 - What is the difference between S and S for a...Ch. 12 - Calculate S for the following changes. (a)...Ch. 12 - Determine the entropy change for the combustion of...Ch. 12 - Determine the entropy change for the combustion of...Ch. 12 - Thermite reactions have been used for welding...Ch. 12 - Using the relevant S values listed in Appendix G,...Ch. 12 - From the following information, determine S for...Ch. 12 - By calculating Suniv, at each temperature,...Ch. 12 - Use the standard entropy data in Appendix G to...Ch. 12 - Use the standard entropy data in Appendix G to...Ch. 12 - What is the difference between G and G for a...Ch. 12 - A reaction has H=100kJ/mol and S=250J/mol.K . Is...Ch. 12 - Explain what happens as a reaction starts with G0...Ch. 12 - Use the standard free energy of formation data in...Ch. 12 - Use the standard free energy data in Appendix G to...Ch. 12 - Given: P4(s)+5O2(g)P4O10(s) G=2697.0kJ/mol...Ch. 12 - Is the formation of ozone (O3(g)) from oxygen...Ch. 12 - Consider the decomposition of red mercury(II)...Ch. 12 - Among other things, an ideal fuel for the control...Ch. 12 - Calculate G for each of the following reactions...Ch. 12 - Calculate G for each of the following reactions...Ch. 12 - Calculate the equilibrium constant at 25 C for...Ch. 12 - Determine G for the following reactions. (a)...Ch. 12 - Given that the Gf for Pb2+(aq) and Cl-(aq) is...Ch. 12 - Determine the standard free energy change, Gf, for...Ch. 12 - Determine the standard enthalpy change, entropy...Ch. 12 - The evaporation of one mole of water at 298 K has...Ch. 12 - In glycolysis, the reaction of glucose (Glu) to...Ch. 12 - One of the important reactions in the biochemical...Ch. 12 - Without doing a numerical calculation, determine...Ch. 12 - When ammonium chloride is added to water and...Ch. 12 - An important source of copper is from the copper...Ch. 12 - What happens to G (becomes more negative or more...
Knowledge Booster
Similar questions
- A pot of cold water is heated on a stove, and when the water boils, a fresh egg is placed in the water to cook. Describe the events that are occurring in terms of the zeroth law of thermodynamics.arrow_forward9.11 Analyze the units of the quantity (pressurevolume) and show that they are energy units, consistent with the idea of PV-work.arrow_forwardWhat are the two ways that a final chemical state of a system can be more probable than its initial state?arrow_forward
- Coal is used as a fuel in some electric-generating plants. Coal is a complex material, but for simplicity we may consider it to be a form of carbon. The energy that can be derived from a fuel is sometimes compared with the enthalpy of the combustion reaction: C(s)+O2(g)CO2(g) Calculate the standard enthalpy change for this reaction at 25C. Actually, only a fraction of the heat from this reaction is available to produce electric energy. In electric generating plants, this reaction is used to generate heat for a steam engine, which turns the generator. Basically the steam engine is a type of heat engine in which steam enters the engine at high temperature (Th), work is done, and the steam then exits at a lower temperature (Tl). The maximum fraction, f, of heat available to produce useful energy depends on the difference between these temperatures (expressed in kelvins), f = (Th Tl)/Th. What is the maximum heat energy available for useful work from the combustion of 1.00 mol of C(s) to CO2(g)? (Assume the value of H calculated at 25C for the heat obtained in the generator.) It is possible to consider more efficient ways to obtain useful energy from a fuel. For example, methane can be burned in a fuel cell to generate electricity directly. The maximum useful energy obtained in these cases is the maximum work, which equals the free-energy change. Calculate the standard free-energy change for the combustion of 1.00 mol of C(s) to CO2(g). Compare this value with the maximum obtained with the heat engine described here.arrow_forwardConsider the system shown in Figure 16.9. What is the change in entropy for the process where the energy is initially associated only with particle A, but in the final state the energy is distributed between two different particles?arrow_forwardA refrigerator is the reverse of an engine: Work is performed to remove heat from a system, making it colder. The efficiency of a refrigerator often termed the coefficient of performance is defined as q3/wcycle=Tlow/(ThighTlow). Use this definition to determine the efficiency needed to halve the absolute temperature. What does your answer imply about attempts to reach absolute zero?arrow_forward
- The statement Energycan beneithercreatednor destroyedis sometimes used as an equivalent statement of the first law of thermodynamics. There areinaccuracies to the statement, however. Restate it tomake it less inaccurate.arrow_forwardDefine the following terms: potential energy, kinetic energy, path-dependent function, state function, system, surroundings.arrow_forwardConsider the following illustration of six molecules of gas in a two-bulbed flask. a. What is the most likely arrangement of molecules? How many microstates are there for this arrangement? b. Determine the probability of finding the gas in its most likely arrangement.arrow_forward
- When 1.000 g of gaseous butane, C4H10, is burned at 25C and 1.00 atm pressure, H2O(l) and CO2(g) are formed with the evolution of 49.50 kJ of heat. a Calculate the molar enthalpy of formation of butane. (Use enthalpy of formation data for H2O and CO2.) b Gf of butane is 17.2 kJ/mol. What is G for the combustion of 1 mol butane? c From a and b, calculate S for the combustion of 1 mol butane.arrow_forwardYou have a l.00-mole sample of water at 30.C and you heat it until you have gaseous water at 140.C. Calculate q for the entire process. Use the following data. Specificheatcapacityofice=2.03J/CgSpecificheatcapacityofwater=4.18J/CgSpecificheatcapacityofsteam=2.02J/Cg H2O(s)H2O(l)Hfusion=6.02KJ/mol(at0C)H2O(l)H2O(g)Hvaporization=40.7KJ/mol(at100.C)arrow_forwardSome say that the job of an engineer is to fight nature and the tendencies of entropy. (a) Does this statement seem accurate in any way? (b) How can any engineering design create order without violating the second law of thermodynamics?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Chemistry by OpenStax (2015-05-04)ChemistryISBN:9781938168390Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark BlaserPublisher:OpenStaxChemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage Learning
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:OpenStax
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
General Chemistry - Standalone book (MindTap Cour...
Chemistry
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry: An Atoms First Approach
Chemistry
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Cengage Learning