Previous Year NEET Question- Kinetic Theory L-3

Question: An ideal gas equation can be written as $p=\frac{\rho R T}{M_0}$ where, $\rho$ and $M_0$ are respectively, [NEET (Oct.) 2020]#

A) mass density, mass of the gas

B) number density, molar mass

C) mass density, molar mass

D) number density, mass of the gas

mass density, mass of the substance#

Solution:#

Ideal gas equation is given as $$ \begin{alignedat} p & =\frac{\rho R T}{M_0} \Rightarrow p \cdot \frac{M_0}{\rho}=R T \ \Rightarrow \quad p V & =R T \ \text { where, } V & =\frac{M_0}{\rho} \end{aligned} $$

Hence, $\rho$ and $M_0$ are mass density and mass of gas, respectively.