Chapter 15, Problem 11E

Consider the general reaction

$a\text{A}+b\text{B}\to c\text{C}$

and the following average rate data over a specific time period $\Delta t:$

$\begin{array}{l}-\frac{\Delta \text{A}}{\Delta t}=0.0080{\text{mol L}}^{-1}{\text{s}}^{-1}\\ -\frac{\Delta \text{B}}{\Delta t}=0.0120{\text{ mol L}}^{-1}{\text{s}}^{-1}\\ \frac{\Delta \text{C}}{\Delta t}=0.0160{\text{ mol L}}^{-1}{\text{s}}^{-1}\end{array}$

Determine a set of possible coefficients to balance this general reaction.