How to Calculate Final Pressure After Isentropic Expansion?

[Chander]

Suppose that the number of microstates available to a system of N particles depends on N and the combined variable UV^2, where U is the internal energy and V is the volume of the system. The system initially has volume 2m^3 and energy 200 J. It undergoes an isentropic expansion to volume 4m^3. How to calculate the final pressure of the system?

 

[NascentOxygen]

Hi Chander.

Please post your homework question in one of our homework help subforums, and you must show a good attempt at solving it, too.