Question

The Van Der Waal’s equation of state for some gases can be expressed as: $(P+\frac{a}{V^2})(V-b)=RT$ Where $P$ is the pressure, $V$ is the molar volume and $T$ is the absolute temperature of the given sample of gas and $a,b$ and $R$ are constants.

The dimensions of constant $b$ are

• A. $M{L}^5{T}^{-2}$
• B. $M{L}^{-1}{T}^{-2}$
• C. $L^3$
• D. $L^6$

Answer 1

The correct option is C $L^3$

From the given equation, we can say:
$\left[V\right]=\left[b\right]$

$\therefore \left[b\right]=\left[L^3\right]$