A cylinder fitted with a piston contains air at 1 Mpa pressure and 300 C temperature, at which point the volume is 0.2^3. The total external force acting on the piston is proportional to V^3. The system is now allowed to cool to room temperature of 20 C. you may assume ideal gas behaviour. (A) Determine the final volume and the final pressure (B) Determine the work done for the process