# For the reaction 2 NO ( g ) + 2 H 2 ( g ) ⇌ N 2 ( g ) + 2 H 2 O ( g ) it is determined that, at equilibrium at a particular temperature, the concentrations are as follows: [NO( g )] = 8.1 × 10 −3 M, [H 2 ( g )] = 4.1 × 10 −5 M, [N 2 ( g )] = 5.3 × 10 − 2 M, and [H 2 O( g )] = 2.9 × 10 −3 M. Calculate the value of K for the reaction at this temperature.

### 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 25E
Textbook Problem
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## For the reaction 2 NO ( g ) + 2 H 2 ( g ) ⇌ N 2 ( g ) + 2 H 2 O ( g ) it is determined that, at equilibrium at a particular temperature, the concentrations are as follows: [NO(g)] = 8.1 × 10−3 M, [H2(g)] = 4.1 × 10−5 M, [N2(g)] = 5.3 × 10−2 M, and [H2O(g)] = 2.9 × 10−3 M. Calculate the value of K for the reaction at this temperature.

Interpretation Introduction

Interpretation: The equilibrium concentration values for the species involved in the reaction between NO and H2 are given. The value of the equilibrium constant (K) for the reaction 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 expressed in terms of concentration, it is represented K .

To determine: The equilibrium constant (K) for the given reaction.

### Explanation of Solution

Given

The stated reaction is,

2NO(g)+2H2(g)N2(g)+2H2O(g)

The concentration of [NO(g)] is 8.1×103M .

The concentration of [H2(g)] is 4.1×105M .

The concentration of [N2(g)] is 5.3×102M .

The concentration of [H2O(g)] is 2.9×103M .

At equilibrium, the equilibrium ratio is expressed by the formula,

K=ConcentrationofproductsConcentrationofreactants

Where,

• K is the equilibrium constant

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