The rate equation for the decomposition of a compound 'A' in terms of partial pressure is given as, rate $=\mathrm{k}\left(\mathrm{P}_{\mathrm{A}}\right)^{\frac{3}{2}}$. If the pressure is measured in bar and time in minutes, then the units of rate constant is :

• A

  $\begin{aligned}& \text { 1. } \min ^{-1} \end{aligned}$
• B

  $\begin{aligned}& \text { 2. } \operatorname{bar}^{\frac{3}{2}} \min ^{-1} \end{aligned}$
• Correct answer
  C

  $\begin{aligned}& \text { 3. }{ }^{-\frac{1}{2}} \min ^{-1} \end{aligned}$
• D

  $\begin{aligned}& \operatorname{bar}^{\frac{1}{2}} \min \end{aligned}$

Hence, the correct answer is option: 'C'.