Chapter 20, Problem 20.7E

Consider the chemical reaction

$\text{A}+\text{B}+\text{C}\to \text{products}$

Determine the order with respect to $\text{A,}\text{B,}\text{and}\text{C}$, and construct the complete rate law (including the value of the rate law constant) from the following experimental data.

Initial rate $\left(M/s\right)$	$\left[A\right],M$	$\left[B\right],M$	$\left[C\right],M$
$6.76\times {10}^{-6}$	$0.550$	$0.200$	$1.15$
$9.82\times {10}^{-7}$	$0.210$	$0.200$	$1.15$
$1.68\times {10}^{-6}$	$0.210$	$0.333$	$1.15$
$9.84\times {10}^{-7}$	$0.210$	$0.200$	$1.77$