Question

Equation for a real gas is $\left(P+\frac{a}{V^{2}}\right)(V-b)=R T$ Where $P=$ pressure, $V=$ volume, $a, b$ and $R$ constants, dimensional formula of a is:

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

Answer 1

Answer: (C)

$ \left( P+\frac{a}{V^{2}} \right)(V-b)=RT $
Dimensional formula of
$ a= $ Dimensions of $ P\times $ dimensions of $ V^{2} $
$=\left[M L^{-1} T^{-2}\right]\left[L^{6}\right]=\left[M L^{5} T^{-2}\right]$