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

Answer: (C)

$L^3$

$\left[V\right]=\left[b\right]$

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