Question

$\left(P+\frac{a}{V^2}\right)(V-b)=R T$ represents the equation of state of some gases Where $P$ is the pressure, $V$ is the volume, $T$ is the temperature and $a, b, R$ are the constants The physical quantity, which has dimensional formula as that of $\frac{b^2}{a}$, will be:

• A. Bulk modulus
• B. Compressibility
• C. Modulus of rigidity
• D. Energy density

Answer 1

Answer: (B)

Compressibility

Answer 2

The correct option is (B): Compressibility
$[b]=[V]$
$[\frac{a}{b^{2}}]=[P]$
$∴[\frac{b^{2}}{a}]= \frac{1}{[P]} = \frac{1}{[B]} = [K]$