Gas phase reactions (i) and (ii) are of first and second order...

Gas phase reactions (i) and (ii) are of first and second order respectively $$\begin{aligned} & 2 \mathrm{~N}_2 \mathrm{O}_5 \rightarrow 4 \mathrm{NO}_2+\mathrm{O}_2 \ldots \ldots \ldots \text{(i)} \\ & 2 \mathrm{NO}+\mathrm{O}_2 \rightarrow 2 \mathrm{NO}_2 \ldots \ldots \ldots \ldots \text{(ii)} \end{aligned}$$ Under certain conditions, the rate constants ( $\mathrm{k}_1, \mathrm{k}_2$ ) of (i) and (ii) respectively, have the same numerical value, when the concentrations of the reactants are expressed in $\mathrm{mol} / \mathrm{dm}^3$. If the concentrations are expressed in $\mathrm{mol} / \mathrm{mL}$, the correct relationship between $\mathrm{k}_1$ and $\mathrm{k}_2$ is