# Consider the general reaction aA+bB → cC and the following average rate data over some time period ∆ t: − ΔA Δ t = 0.0 080mol/L ⋅ s − ΔB Δ t = 0.012 0mol/L ⋅ s − ΔC Δ t = 0.0 160mol/L ⋅ s Determine a set of possible coefficients to balance this general reaction.

### Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404

Chapter
Section

### Chemistry

10th Edition
Steven S. Zumdahl + 2 others
Publisher: Cengage Learning
ISBN: 9781305957404
Chapter 12, Problem 28E
Textbook Problem
1038 views

## Consider the general reaction aA+bB → cC and the following average rate data over some time period ∆t: − ΔA Δ t = 0.0 080mol/L ⋅ s − ΔB Δ t = 0.012 0mol/L ⋅ s − ΔC Δ t = 0.0 160mol/L ⋅ s Determine a set of possible coefficients to balance this general reaction.

Interpretation Introduction

Interpretation: A general reaction and the average rate data over a time period Δt is given. A set of possible coefficients to balance the given reaction are to be determined.

Concept introduction: The rate of a reaction is defined as the decrease in the concentration of a reactant or the increase in the concentration of the product per unit time.

To determine: A set of possible coefficients to balance the given reaction.

### Explanation of Solution

Given

The stated general reaction is,

aA+bBcC

ΔAΔt=0.0080mol/LsΔBΔt=0.0120mol/LsΔCΔt=0.0160mol/Ls

The rate of a reaction is calculated by the formula,

Rateofreaction=DecreaseintheconcentrationofthereactantChangeintime=IncreaseintheconcentrationoftheproductChangeintime

For the general reaction given,

Rate=1aΔ[A]Δt=1bΔ[B]Δt=1cΔ[C]Δt

Substitute the given values of ΔAΔt , ΔBΔt and ΔCΔt in the above expression.

Rate=1a(0

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