The equation of state of a gas is given by ( p + v 3 a ) ( V − b 2 ) = c T , where p , V , T are pressure, volume and temperature respectively and a , b , c are constants. The dimensions of a and b

Question

The equation of state of a gas is given by ( p + v 3 a ​ ) ( V − b 2 ) = c T , where p , V , T are pressure, volume and temperature respectively and a , b , c are constants. The dimensions of a and b are respectively

TestHub · Accepted Answer

[ P ] = [ V 3 a ​ ] ⇒ [ M L − 1 T − 2 ] = [ L 3 ] 3 a ​ ⇒ a ​ = [ M L 8 T − 2 ] [ V ] = [ b 2 ] ⇒ [ L 3 ] = b 2 ⇒ b = [ L 3/2 ] ​

Physics - Unit & Dimension Question with Solution | TestHub

Options:

Doubts & Discussion