A cylinder fitted with a piston contains liquid methanol at 70 F, 15 lbf/in 2 and volume

Question:

A cylinder fitted with a piston contains liquid methanol at 70 F, 15 lbf/in 2 and volume 1 ft3. The piston is moved, compressing the methanol to 3000 lbf/in 2 at constant temperature. Calculate the work required for this process. The isothermal compressibility of liquid methanol at 70 F is 8.3 103 in 2/lbf.