"To determine the rate law for the reaction 2NO + H_2 \rightarrow N2O + H_2O, we analyze the given experimental data manually.
By comparing different experiments, we find that the reaction is second order with respect to NO and zero order with respect to H_2. Therefore, the rate law for the reaction is:
\text{Rate} = k[NO]^2
where k is the rate constant. The reaction rate is independent of the concentration of H_2.
\boxed{\text{Answer: Rate law for the reaction is } \text{Rate} = k[NO]^2}"