Question

A cylinder contains hydrogen has (Molar mass $M$) at pressure $P$ and temperature $T$. If $R$ is universal gas constant, then the density of gas is given as

• A. $\frac{PT}{RM}$
• B. $\frac{RT}{RM}$
• C. $\frac{PM}{RT}$
• D. $\frac{RP}{TM}$

Answer 1

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

$PV=\frac{m}{M}RT$
$P=\frac{m}{V}\left(\frac{RT}{M}\right)$
$\rho =\frac{m}{V}=\frac{PM}{RT}$