(d) $PV = nRT$ $\Rightarrow PV = \frac{\omega}{M}RT$ $\frac{PM}{RT} = \frac{\omega}{V} = e$ $\Rightarrow e = \frac{PM}{RT} = \frac{P \times m \times N_{A}}{RT} = \frac{Pm}{\left( \frac{R}{N_{A}} \right)T} = \frac{Pm}{kT}$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.