1. Tardigrade
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  3. Chemistry
  4. 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

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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

AIPMTAIPMT 1989States of Matter

Solution:

We know that ideal gas equation is
$p V=n R T $
$p V=\frac{w}{M} R T $
$p M=\frac{w}{V} R T\left[\because \frac{w}{V}=d\right]$
$p M=d R T$
$\Rightarrow d=\frac{p M}{R T}$