Question

If $P,V,M,TandR$ are pressure, volume, molar mass, temperature and gas constant of gas, then for ideal gas the density is given by,

• A. $\frac{RT}{PM}$
• B. $\frac{P}{RT}$
• C. $\frac{M}{V}$
• D. $\frac{PM}{RT}$

Answer 1

The correct option is D $\frac{PM}{RT}$

Ideal gas equation is,
$PV=nRT=\frac{m}{M}RT$
$\Rightarrow PM=\frac{m}{V}RT=dRT$
$\left(\text{m=Mass, d=density of the gas}\right)$
$\Rightarrow d=\frac{PM}{RT}$