For a gas reaction at $400K$ the rate is reported as

$-\frac{d{p}_A}{dt}=3\mathrm{.}66p_A^2,\frac{\text{a}\text{t}\text{m}}{hr}$

$($a$)$ What are the unit of the rate constant?

$($b$)$What is the value of the rate constant for this reaction if the rate equation is expressed as

$-r_A=\frac{-1}{V}\frac{d{N}_A}{dt}=k{C}_A^2,\frac{\text{m}\text{o}\text{l}}{m^3*s}$