Moderate# Calculation: Second-Order Kinetics

CHEM-J@HPBB

The reaction $2N{O}_{2} \rightarrow 2NO + {O}_{2}$ is second order in $N{O}_{2}$. At a given temperature, the rate constant for the reaction is $0.038 \frac{1}{M \cdot s}$.

If the initial concentration of $N{O}_{2}$ is $0.750\ M$, how long will it take for the concentration to decrease by $30.0\%$?