Chapter 19, Problem 19.97QP

Strictly speaking, the rate law derived for the reaction in Problem 19.80 applies only to certain concentrations of H₂. The general rate law for the reaction takes the form

$\text{rate}=\frac{k_1{\text{[NO]}}^{\text{2}}{\text{[H}}_{\text{2}}\text{]}}{1+k_2[{\text{H}}_2]}$

where k₁ and     k₂ are constants. Derive rate law expressions under the conditions of very high and very low hydrogen concentrations. Docs the result front Problem 19.80 agree with one of the rate expressions here?