At 25°C, gaseous SO 2 Cl 2 decomposes to SO 2 (g) and Cl 2 ( g ) to the extent that 12.5% of the original SO 2 Cl 2 (by moles) has decomposed to reach equilibrium. The total pressure (at equilibrium) is 0.900 atm. Calculate the value of K p for this system.

Chemistry: An Atoms First Approach

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

Chapter
Section

Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 12, Problem 79AE
Textbook Problem
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At 25°C, gaseous SO2Cl2 decomposes to SO2(g) and Cl2(g) to the extent that 12.5% of the original SO2Cl2 (by moles) has decomposed to reach equilibrium. The total pressure (at equilibrium) is 0.900 atm. Calculate the value of Kp for this system.

Interpretation Introduction

Interpretation: The percentage decomposition of SO2Cl2 to reach the equilibrium, temperature and total pressure of this decomposition is given. The equilibrium constant is to be calculated.

Concept introduction: The state when the reactants involved in a chemical reaction and the products formed in the reaction exist in concentrations having no further tendency to change is known as an equilibrium state of the reaction. When the equilibrium constant is measured in terms of pressure, then it is represented as Kp .

To determine: The equilibrium constant for the given reaction.

Explanation of Solution

Explanation

Given

The given temperature is 25°C .

The total pressure is 0.900atm .

The percentage (by mass) decomposition of SO2Cl2 is 12.5% .

Write the decomposition of reaction of SO2Cl2 .

SO2Cl2(g)SO2(g)+Cl2(g)

It is assumed that initial pressure of reactant (SO2Cl2) is x . Since, 12.5% is decomposed, the change in pressure of reactant is,

12.5100x=0.125x

The initial pressure of product is zero.

Make the ICE table for the above reaction.

SO2Cl2(g)SO2(g)Cl2(g)Initial(atm):x00Change(atm):-0.125x0.125x0.125xEquilibrium(atm):x-0.125x0.125x0.125x

Total pressure is calculated using the formula,

PT=(PSO2Cl2)+(PSO2)+(PCl2)

Where,

• PT is total pressure.
• (PSO2Cl2) is partial pressure of SOCl2 .
• (PSO2) is partial pressure of SO2 .
• (PCl2) is partial pressure of Cl2 .

Substitute the values of (PSO2Cl2),(PSO2),PT and (PCl2) at equilibrium in above equation

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