Chemistry Atoms First2e
2nd Edition
ISBN: 9781947172647
Author: OpenStax
Publisher: OpenStax College
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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.
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Chapter 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...
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