225- In the hypothetical reaction $\mathrm{A(g) + B(g) \to C(g)}$, by doubling the molar concentration of A and keeping the concentration of B constant, the reaction rate doubles; and by doubling the molar concentration of B while keeping the concentration of A constant, the rate becomes 4 times. What is the rate law and the unit of the rate constant?
\textbf{225-} In the hypothetical reaction $\mathrm{A(g) + B(g) \to C(g)}$, by doubling the molar concentration of A and keeping the concentration of B constant, the reaction rate doubles; and by doubling the molar concentration of B while keeping the concentration of A constant, the rate becomes 4 times. What is the rate law and the unit of the rate constant?
\begin{itemize}
\item[(1)] $\mathrm{k[A][B]^2}$, unit: $\mathrm{mol^{-1}.L.s}$
\item[(2)] $\mathrm{k[A][B]^2}$, unit: $\mathrm{mol^{-2}.L^2.s^{-1}}$
\item[(3)] $\mathrm{k[A][B]}$, unit: $\mathrm{mol^{-1}.L.s^{-1}}$
\item[(4)] $\mathrm{k[A]^2[B]^4}$, unit: $\mathrm{mol^{-2}.L^2.s}$
\end{itemize}
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