Question

One mole of a gas expands with temperature according to the relation v=kt2/3

Answer 1

V T ^-2/3 = K

As, according to definition of work done,

W = F S = P V

P V= K  

As, P V = n R T

So,

P= n R T / V

Then we put the values and by integrating the above equation.

The solution of this is given in the following image.