The equation for real gas is given by ( P + V 2 a ) ( 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

Question

The equation for real gas is given by ( P + V 2 a ​ ) ( 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 :

TestHub · Accepted Answer

​ [ P + V 2 a ​ ] ( 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 ​ Dimension of energy density.

Physics - Unit & Dimension Question with Solution | TestHub

Options:

Doubts & Discussion