Chemistry: An Atoms First Approach
Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
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Chapter 12, Problem 1RQ

Characterize a system at chemical equilibrium with respect to each of the following

a. the rates of the forward and reverse reactions

b. the overall composition of the reaction mixture For a general reaction 3 A ( g ) + B ( g ) 2 C ( g ) , if one starts an experiment with only reactants present, show what the plot of concentrations of A, B, and C versus time would look like. Also sketch the plot illustrating the rate of the forward reaction and rate of the reverse reaction versus time.

Expert Solution & Answer
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Interpretation Introduction

Interpretation: The given systems at equilibrium are to be characterized. For the given reaction, the required plot is to be shown. The plot that illustrates the rate of forward reaction and rate of reverse reaction is to be sketched.

Concept introduction: Chemical equilibrium is a state of a system in which the rate of forward reaction and that of the backward reaction is equal. It is affected by various factors such as concentration of reactants or products, temperature, pressure.

Answer to Problem 1RQ

Answer

  1. a) Rate of the forward and reverse reactions are equal at equilibrium.
  2. b) The overall composition remains constant at equilibrium.

The plot of concentrations of A,B and C versus time is shown in Figure 1.

The plot illustrating the rate of forward reaction and rate of reverse reaction versus time is shown in Figure 2.

Explanation of Solution

Explanation

(I)

(a)

To determine: The characterization of the given system at equilibrium.

The rate of the forward and reverse reactions is equal at equilibrium.

At equilibrium, the concentrations of reactants and products do not change. When equilibrium is attained by a system, equilibrium rate of forward reaction will be equal to rate of backward reaction.

(b)

To determine: The characterization of the given system at equilibrium.

The overall composition remains constant at equilibrium.

The forward and backward reaction at equilibrium proceeds with same rate, hence the concentration of reactants and products do not change. Therefore, the overall composition remains constant at equilibrium.

(II)

To determine: The plot of concentrations of A,B and C versus time and the plot illustrating the rate of forward reaction and rate of reverse reaction versus time.

The plot of concentrations of A, B and C versus time is shown in Figure 1.

The given reaction is,

3A(g)+B(g)2C(g)

If one starts with only reactants present, then the plot of concentrations of A,B and C versus time will be like,

Chemistry: An Atoms First Approach, Chapter 12, Problem 1RQ , additional homework tip  1

Figure 1

In the beginning of the reaction, the concentration of reactants is more. As the time proceeds, the concentration of reactants decreases and the concentration of products increases. At equilibrium, there is no change in the concentrations of reactants and products.

The plot illustrating the rate of forward reaction and rate of reverse reaction versus time is shown in Figure 2.

In the beginning of the reaction, the concentration of reactants is more. Therefore, rate of forward reaction is high. But as the reaction proceeds further, the reactants are consumed to form products. Hence rate of forward reaction decreases and rate of backward reaction increases. At equilibrium, both the rates are equal. Therefore, plot illustrating the rate of forward reaction and rate of reverse reaction versus time will be like,

Chemistry: An Atoms First Approach, Chapter 12, Problem 1RQ , additional homework tip  2

Figure 2

Conclusion

Conclusion

  1. a) Rate of the forward and reverse reactions are equal at equilibrium.
  2. b) The overall composition remains constant at equilibrium.

The plot of concentrations of A, B and C versus time is shown in Figure 1.

The plot illustrating the rate of forward reaction and rate of reverse reaction versus time is shown in Figure 2

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Chapter 12 Solutions

Chemistry: An Atoms First Approach

Ch. 12 - Consider an equilibrium mixture of four chemicals...Ch. 12 - The boxes shown below represent a set of initial...Ch. 12 - For the reactionH2(g)+I2(g)2HI(g), consider two...Ch. 12 - Prob. 4ALQCh. 12 - Consider the reaction A(g)+2B(g)C(g)+D(g) in a...Ch. 12 - Consider the reactionA(g)+B(g)C(g)+D(g). A friend...Ch. 12 - Prob. 7ALQCh. 12 - Prob. 8ALQCh. 12 - Prob. 9ALQCh. 12 - Prob. 10QCh. 12 - Consider the following reaction:...Ch. 12 - Prob. 12QCh. 12 - Suppose a reaction has the equilibrium constant K...Ch. 12 - Prob. 14QCh. 12 - Consider the following reaction at some...Ch. 12 - Prob. 16QCh. 12 - Prob. 17QCh. 12 - Prob. 18QCh. 12 - For a typical equilibrium problem, the value of K...Ch. 12 - Prob. 20QCh. 12 - Write the equilibrium expression (K) for each of...Ch. 12 - Write the equilibrium expression (Kp) for each...Ch. 12 - Prob. 23ECh. 12 - For the reaction H2(g)+Br2(g)2HBr(g) Kp = 3.5 104...Ch. 12 - Prob. 25ECh. 12 - At high temperatures, elemental nitrogen and...Ch. 12 - At a particular temperature, a 3.0-L flask...Ch. 12 - At a particular temperature a 2.00-L flask at...Ch. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Write expressions for Kp for the following...Ch. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - In a study of the reaction...Ch. 12 - The equilibrium constant is 0.0900 at 25C for the...Ch. 12 - The equilibrium constant is 0.0900 at 25C for the...Ch. 12 - At 900c, Kp = 1.04 for the reaction...Ch. 12 - Ethyl acetate is synthesized in a nonreacting...Ch. 12 - For the reaction 2H2O(g)2H2(g)+O2(g) K = 2.4 103...Ch. 12 - The reaction 2NO(g)+Br2(g)2NOBr(g) has Kp = 109 at...Ch. 12 - A 1.00-L flask was filled with 2.00 moles of...Ch. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Nitrogen gas (N2) reacts with hydrogen gas (H2) to...Ch. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - Prob. 53ECh. 12 - At 25c, K = 0.090 for the reaction...Ch. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - At o particular temperature, K = 4 .0 107 for the...Ch. 12 - Prob. 59ECh. 12 - Lexan is a plastic used to make compact discs,...Ch. 12 - At 25C, Kp. = 2.9 103 for the reaction...Ch. 12 - A sample of solid ammonium chloride was placed in...Ch. 12 - Prob. 63ECh. 12 - Predict the shift in the equilibrium position that...Ch. 12 - An important reaction in the commercial production...Ch. 12 - What will happen to the number of moles of SO3 in...Ch. 12 - Prob. 67ECh. 12 - Hydrogen for use in ammonia production is produced...Ch. 12 - Old-fashioned smelling salts consist of ammonium...Ch. 12 - Ammonia is produced by the Haber process, in which...Ch. 12 - Prob. 71AECh. 12 - Given the following equilibrium constants at...Ch. 12 - Consider the decomposition of the compound C5H6O3...Ch. 12 - Prob. 74AECh. 12 - The gas arsine, AsH3, decomposes as follows:...Ch. 12 - At a certain temperature, K = 9.1 10-4 for the...Ch. 12 - At a certain temperature, K = 1.1 l03 for the...Ch. 12 - Prob. 78AECh. 12 - At 25C, gaseous SO2Cl2 decomposes to SO2(g) and...Ch. 12 - For the following reaction at a certain...Ch. 12 - Prob. 81AECh. 12 - Consider the reaction Fe3+(aq)+SCN(aq)FeSCN2+(aq)...Ch. 12 - Chromium(VI) forms two different oxyanions, the...Ch. 12 - Prob. 84AECh. 12 - Prob. 85AECh. 12 - For the reaction below, Kp = 1.16 at 800C....Ch. 12 - Many sugars undergo a process called mutarotation,...Ch. 12 - Peptide decomposition is one of the key processes...Ch. 12 - The creation of shells by mollusk species is a...Ch. 12 - Methanol, a common laboratory solvent, poses a...Ch. 12 - Prob. 91CWPCh. 12 - Prob. 92CWPCh. 12 - Prob. 93CWPCh. 12 - Prob. 94CWPCh. 12 - Prob. 95CWPCh. 12 - Prob. 96CWPCh. 12 - Consider the following exothermic reaction at...Ch. 12 - For the following endothermic reaction at...Ch. 12 - Prob. 99CPCh. 12 - A 4.72-g sample of methanol (CH3OH) was placed in...Ch. 12 - At 35C, K = 1.6 105 for the reaction...Ch. 12 - Nitric oxide and bromine at initial partial...Ch. 12 - At 25C. Kp = 5.3 105 for the reaction...Ch. 12 - Prob. 104CPCh. 12 - The partial pressures of an equilibrium mixture of...Ch. 12 - At 125C, KP = 0.25 for the reaction...Ch. 12 - A mixture of N2, H2, and NH3 is at equilibrium...Ch. 12 - Prob. 108CPCh. 12 - Prob. 109CPCh. 12 - Prob. 110CPCh. 12 - Prob. 111CPCh. 12 - A sample of N2O4(g) is placed in an empty cylinder...Ch. 12 - A sample of gaseous nitrosyl bromide (NOBr) was...Ch. 12 - Prob. 114CPCh. 12 - For the reaction NH3(g)+H2S(g)NH4HS(s) K = 400. at...Ch. 12 - Prob. 116IPCh. 12 - In a solution with carbon tetrachloride as the...Ch. 12 - Prob. 118IPCh. 12 - A gaseous material XY(g) dissociates to some...
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