Answer: The rate will increase 32 times if the concentration of both reactants increases 4 times
Step-by-step explanation:
Rate law says that rate of a reaction is directly proportional to the concentration of the reactants each raised to a stoichiometric coefficient determined experimentally called as order.
For the reaction :
k= rate constant
order with respect to
= 2
order with respect to
= 1
Thus on increasing the concentration of reactants 4 times :
![rate'=k* 8* 4* [NO]^2* [O_2]^1](https://img.qammunity.org/2022/formulas/chemistry/high-school/axddefmvicro0daotu84cevk3zv6hb1hal.png)

Thus rate will increase 32 times if the concentration of both reactants increases 4 times