The equation for real gas is given by ( P + a V ^2 )( V - b )= RT , where P , V , T and R are the pressure, volume, temperature and gas constant, respectively. The dimension of ab ⁻² is equivalent to that of :

Step-by-step solution

aligned & [ P + a V ^2 ]( V - b )= RT & [ a ]=[ P ] [ V ^2 ]= ML ⁻¹ ~T ⁻² ~L ^6= ML ^5 ~T ⁻² & [ ~b ]=[ V ]= L ^3 & [ ab ⁻² ]= ML ^5 ~T ⁻² ~L ⁻⁶= ML ⁻¹ ~T ⁻² aligned Dimension of energy density.