Please be very explicit in your development. Thank you!

2.27 Carbon dioxide (CO2) gas within a piston-cylinder assembly undergoes a process from a state where p1= 5lbf/in2,V1=2.5ft3 to a state where p2=20lbf/in2,V2= 0.5ft3. The relationship between pressure and volume during the process is given by p=23.757.5V, where V is in ft3 and p is in lbf/in. 2 Determine the work for the process, in Btu