Question

Pressure of gas is given by $P=\frac{nRT}{V}{e}^{-\frac{\propto }{RTV}}$ where, T =temperature, V =volume, R =universal gas constant and n =number of moles. The dimensions of $\propto$ are

Answer 1

$P=\frac{nRT}{V}{e}^{-\frac{\propto }{RTV}}$
$\propto$ should have same dimension as that of RTV
$=\left[M{L}^2{T}^{-2}mo{l}^{-1}{k}^{-1}\right]\left[k\right]\left[L^3\right]=\left[M{L}^5{T}^{-2}mo{l}^{-1}\right]$