Question

If $p, T, \rho$ and $R$ represents pressure, temperature, density and universal gas constant respectively, then the molar mass of the ideal gas is given by

• A. $\frac{\rho R T}{p}$
• B. $\frac{\rho T}{p R}$
• C. $\frac{p}{\rho R T}$
• D. $\frac{R T}{\rho p}$

Answer 1

Answer: (A)

If $p, T, \rho$ and $R$ represents pressure, temperature, density and universal gas constant then ideal gas equation
$pV = nRT$ for $n$ mole of gas
pV = RT for 1 mole of gas
We know that
$M = V \times \rho \Rightarrow V =\frac{ M }{\rho}$
Put the value of $V$ in gas equation
$p \times \frac{ M }{\rho}= RT$
then molar mass of gas
$M =\frac{\rho RT }{p}$