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 dimensional representation of ab/RT is

• A. $M{L}^5{T}^{-2}$
• B. $M^0{L}^3{T}^0$
• C. $M{L}^{-1}{T}^{-2}$
• D. None of these

Answer 1

The correct option is D None of these

$\left[\frac{ab}{RT}\right]=\left[\frac{\left[{ML}^5{T}^{-2}\right]\left[L^3\right]}{\left[{ML}^2{T}^{-2}\right]}\right]$

$\Rightarrow \left[\frac{ab}{RT}\right]=\left[L^6\right]$