Chapter 12, Problem 42QAP

### Chemistry: Principles and Reactions

8th Edition
William L. Masterton + 1 other
ISBN: 9781305079373

Chapter
Section

### Chemistry: Principles and Reactions

8th Edition
William L. Masterton + 1 other
ISBN: 9781305079373
Textbook Problem

# At 460°C, the reaction SO 2 ( g ) + NO 2 ( g ) ⇌ NO ( g ) + SO 3 ( g ) has K = 84.7 . All gases are at an initial pressure of 1.25 atm.(a) Calculate the partial pressure of each gas at equilibrium.(b) Compare the total pressure initially with the total pressure at equilibrium. Would that relation be true of all gaseous systems?

Interpretation Introduction

(a)

Interpretation:

The equilibrium partial pressure of each gas needs to be written

Concept introduction:

The system is said to be in equilibrium if the there is no change in the partial pressure or concentration of reactant and product takes place.

For a general equilibrium reaction as follows:

A(g)+B(g)C(g)+D(g)

The expression for the equilibrium constant is represented as follows:

K=(PC)(PD)(PA)(PB)

Here, to calculate the equilibrium constant, the values of partial pressure of all the species in reactant and product side are required.

Explanation

The equilibrium reaction is as follows:

SO2(g)+NO2(g)â‡ŒNO(g)+SO3(g)

The value of equilibrium constant is 84.7 and the initial partial pressure of all gases is 1.25 atm.

The partial pressure of each gases at equilibrium can be calculated as follows:

SO2(g)+NO2(g)â‡ŒNO(g)+SO3(g)1.25Â Â Â Â Â Â Â Â 1.25Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 1.25Â Â Â Â Â Â Â Â Â 1.251.25-xÂ Â Â Â Â 1.25-xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â 1.25+xÂ Â Â Â Â 1.25+x

The expression for the equilibrium constant will be:

K=(PNO)(PSO3)(PSO2)(PNO2)

Putting the values,

84.7=(1.25+x)(1.25+x)(1

Interpretation Introduction

(b)

Interpretation:

The initial total pressure needs to be compared with equilibrium partial pressure and the result needs to be explained.

Concept introduction:

The system is said to be in equilibrium if the there is no change in the partial pressure or concentration of reactant and product takes place.

For a general equilibrium reaction as follows:

A(g)+B(g)C(g)+D(g)

The expression for the equilibrium constant is represented as follows:

K=(PC)(PD)(PA)(PB)

Here, to calculate the equilibrium constant, the values of partial pressure of all the species in reactant and product side are required.

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