Chapter 19.3, Problem 1PPB

Write the balanced equation corresponding to the following rate expressions.

$\begin{array}{l}(\text{a})\text{ rate}=-\frac{1}{3}\frac{\Delta [{\text{CH}}_{\text{4}}]}{\Delta t}=-\frac{1}{2}\frac{\Delta [{\text{H}}_{\text{2}}\text{O}]}{\Delta t}=-\frac{\Delta [{\text{CO}}_{\text{2}}]}{\Delta t}=\frac{1}{4}\frac{\Delta [{\text{CH}}_{\text{3}}\text{OH}]}{\Delta t}\\ (\text{b})\text{ rate = }-\frac{1}{2}\frac{\Delta [{\text{N}}_{\text{2}}{\text{O}}_5]}{\Delta t}=\frac{1}{2}\frac{\Delta [{\text{N}}_{\text{2}}]}{\Delta t}=\frac{1}{5}\frac{\Delta [{\text{O}}_2]}{\Delta t}\\ (\text{c})\text{ rate =}-\frac{\Delta [{\text{H}}_{\text{2}}]}{\Delta t}=-\frac{\Delta [\text{CO}]}{\Delta t}=-\frac{\Delta [{\text{O}}_{\text{2}}]}{\Delta t}=\frac{\Delta [{\text{H}}_{\text{2}}{\text{CO}}_3]}{\Delta t}\end{array}$