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Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

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BuyFindarrow_forward

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 16, Problem 28E
Textbook Problem
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Consider the following illustration of six molecules of gas in a two-bulbed flask.

Chapter 16, Problem 28E, Consider the following illustration of six molecules of gas in a two-bulbed flask. a. What is the

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.

(a)

Interpretation Introduction

Interpretation: The most likely arrangement of given six molecules of a gas in a two-bulbed flask, number of microstates for this arrangement, probability of finding the gas in its most likely arrangement is to be stated.

Concept introduction: The arrangements of the gaseous molecules are determined by the positional probability which is number of microstates a molecule can have. A microstate is a configuration that a molecule achieves with certain probability.

To determine: The most likely arrangement of given six molecules of a gas in a two-bulbed flask and number of microstates for this arrangement.

Explanation of Solution

The most likely arrangement is the arrangement having maximum number of microstates. For given six molecules the most likely arrangement is,

Figure 1

The value of microstates that a molecule can attain is calculated by the formula.

Numberofmicrostates=(2)n

Where,

  • n is number of molecules.

The number of molecules in the given flask is 6 .

Substitute the value of n for the given six molecules

(b)

Interpretation Introduction

Interpretation: The most likely arrangement of given six molecules of a gas in a two-bulbed flask, number of microstates for this arrangement, probability of finding the gas in its most likely arrangement is to be stated.

Concept introduction: The arrangements of the gaseous molecules are determined by the positional probability which is number of microstates a molecule can have. A microstate is a configuration that a molecule achieves with certain probability.

To determine: The probability of finding the gas in its most likely arrangement.

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Chapter 16 Solutions

Chemistry: An Atoms First Approach
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Ch. 16 - For the process A(l) A(g), which direction is...Ch. 16 - For a liquid, which would you expect to be larger,...Ch. 16 - Gas A2 reacts with gas B2 to form gas AB at a...Ch. 16 - What types of experiments can be carried out to...Ch. 16 - A friend tells you, Free energy G and pressure P...Ch. 16 - You remember that G is related to RT ln(K) but...Ch. 16 - Predict the sign of S for each of the following...Ch. 16 - Is Ssurr favorable or unfavorable for exothermic...Ch. 16 - At 1 atm, liquid water is heated above 100C. 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Predict the...Ch. 16 - Hydrogen cyanide is produced industrially by the...Ch. 16 - From data in Appendix 4, calculate H, S, and G for...Ch. 16 - The major industrial use of hydrogen is in the...Ch. 16 - For the reaction at 298 K, 2NO2(g)N2O4(g) the...Ch. 16 - At 100C and 1.00 atm, H = 40.6 kJ/mol for the...Ch. 16 - Given the following data:...Ch. 16 - Given the following data:...Ch. 16 - For the reaction SF4(g)+F2(g)SF6(g) the value of G...Ch. 16 - The value of G for the reaction...Ch. 16 - Consider the reaction...Ch. 16 - Consider the reaction 2POCl3(g)2PCl3(g)+O2(g) a....Ch. 16 - Using data from Appendix 4, calculate H, S and G...Ch. 16 - Consider two reactions for the production of...Ch. 16 - Using data from Appendix 4, calculate G for the...Ch. 16 - Using data from Appendix 4, calculate G for the...Ch. 16 - Consider the reaction 2NO2(g)N2O4(g) For each of...Ch. 16 - Consider the following reaction:...Ch. 16 - One of the reactions that destroys ozone in the...Ch. 16 - Hydrogen sulfide can be removed from natural gas...Ch. 16 - Consider the following reaction at 25.0C:...Ch. 16 - The standard free energies of formation and the...Ch. 16 - Calculate G forH2O(g)+12O2(g)H2O2(g) at 600. K,...Ch. 16 - The Ostwald process for the commercial production...Ch. 16 - Cells use the hydrolysis of adenosine...Ch. 16 - One reaction that occurs in human metabolism is...Ch. 16 - Consider the following reaction at 800. K:...Ch. 16 - Consider the following reaction at 298 K:...Ch. 16 - Consider the relationship In(K)=HRT+SR The...Ch. 16 - The equilibrium constant K for the reaction...Ch. 16 - Using Appendix 4 and the following data, determine...Ch. 16 - Some water is placed in a coffee-cup calorimeter....Ch. 16 - Consider the following system at equilibrium at...Ch. 16 - Calculate the entropy change for the vaporization...Ch. 16 - As O2(l) is cooled at 1 atm, it freezes at 54.5 K...Ch. 16 - Consider the following reaction:...Ch. 16 - Using the following data, calculate the value of...Ch. 16 - Many biochemical reactions that occur in cells...Ch. 16 - Carbon monoxide is toxic because it bonds much...Ch. 16 - In the text, the equation G=G+RTIn(Q) was derived...Ch. 16 - Consider the reactions...Ch. 16 - Use the equation in Exercise 79 to determine H and...Ch. 16 - Consider the reaction...Ch. 16 - Consider the following diagram of free energy (G)...Ch. 16 - Which of the following reactions (or processes)...Ch. 16 - For rubidium Hvapo=69.0KJ/mol at 686C, its boiling...Ch. 16 - Given the thermodynamic data below, calculate S...Ch. 16 - Consider the reaction: H2S(g)+SO2(g)3S(g)+2H2O(l)...Ch. 16 - The following reaction occurs in pure water:...Ch. 16 - Consider the dissociation of a weak acid HA (Ka =...Ch. 16 - Consider the reaction: PCl3(g)+Cl2(g)PCl5(g) At...Ch. 16 - The equilibrium constant for a certain reaction...Ch. 16 - For the following reactions at constant pressure,...Ch. 16 - The standard enthalpy of formation of H2O(l) at...Ch. 16 - Consider two perfectly insulated vessels. 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