If p, V, M, T and R are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by

Question

If p, V, M, T and R are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by (A) (RT/pM) (B) (p/RT) (C) (M/V) (D) (pM/RT)

Tardigrade Admin · Accepted Answer

We know that ideal gas equation is p V=n R T p V=(w/M) R T p M=(w/V) R T[∵ (w/V)=d] p M=d R T ⇒ d=(p M/R T)

Q. If $p, V, M, T$ and $R$ are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by

$\frac{RT}{pM}$

$\frac{p}{RT}$

$\frac{M}{V}$

$\frac{pM}{RT}$

We know that ideal gas equation is
$p V = n RT$
$p V = \frac{w}{M} RT$
$pM = \frac{w}{V} RT [∵ \frac{w}{V} = d]$
$pM = d RT$
$\Rightarrow d = \frac{pM}{RT}$

Q. If p,V,M,T and R are pressure, volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by

pMRT​

RTp​

VM​

RTpM​