   # Consider the following statements: “Consider the reaction A ( g ) + B ( g ) ⇌ C ( g ) , for which at equilibrium [A] = 2 M, [B] = 1 M, and [C] = 4 M. To a 1-L container of the system at equilibrium, you add 3 moles of B. A possible equilibrium condition is [A] = 1 M, [B] = 3 M, and [C] = 6 M because in both cases K = 2.” Indicate everything that is correct in these statements and everything that is incorrect. Correct the incorrect statements, and explain. ### Chemistry: An Atoms First Approach

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

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 12, Problem 7ALQ
Textbook Problem
36 views

## Consider the following statements: “Consider the reaction A ( g ) + B ( g ) ⇌ C ( g ) , for which at equilibrium [A] = 2 M, [B] = 1 M, and [C] = 4 M. To a 1-L container of the system at equilibrium, you add 3 moles of B. A possible equilibrium condition is [A] = 1 M, [B] = 3 M, and [C] = 6 M because in both cases K = 2.” Indicate everything that is correct in these statements and everything that is incorrect. Correct the incorrect statements, and explain.

Interpretation Introduction

Interpretation: The given incorrect statements are to be corrected and explained.

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

To determine: The correct form of the given incorrect statements with explanation.

### Explanation of Solution

Explanation

The given reaction is,

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

At equilibrium,

[A]=2 M

[B]=1 M

[C]=4 M

The equilibrium constant (K) for the given reaction is,

K=[C][A][B]

Substitute the value of equilibrium concentration of [A] , [B] and [C] in the above equation.

K=42×1=2

It is given that 3 moles of B is added to a 1 L container of the system at equilibrium.

The given statement is “a possible equilibrium condition is [A]=1 M , [B]=3 M and [C]=6 M ”.

The given statement is incorrect.

The change in concentration after addition of 3 moles of B is assumed to be x .

Therefore, the correct equilibrium concentrations after addition of 3 moles of B are,

[A]=2 Mx

[B]=4 Mx

[C]=4 M+x

The new equilibrium constant K' for the reaction after addition of 3 moles of B is,

K'=[C][A][B]

Substitute the values of equilibrium concentrations after addition

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