Solve the below problem:
Q: Air at 200 kPa, 30°C is contained in a cylinder/piston arrangement with initial volume 0.1 m3. The inside pressure balances ambient pressure of 100 kPa plus an externally imposed force that is proportional to V0.5. Now heat is transferred to the system to a final pressure of 225 kPa. Find the final temperature and the work done in the process.