1. The problem statement, all variables and given/known data 2. Relevant equations W = ∫pdV W = (1/2)*k*(x2212) F = p*A 3. The attempt at a solution Assumptions made: 1. Quasistatic process. 2. Pressure is constant. Force balance on the piston reveals -> = <- p0*Apiston = patm*Apiston hence p0 = patm = 101 kPa From states 1-2 this is a constant pressure process: W12 = p0*Apiston*d1 = (101 kPa)(44*10-4 m2)(0.075m) = 33.333 Joules From states 2-3 this is both a constant pressure process and a spring compression process (taken separately): W23 (const) = p0*Apiston*d2 = (101 kPa)(44*10-4 m2)(0.075m) = 33.333 Joules W23 (spring) = (1/2)*k*(x2212) = (1/2)*(9800 N/m)(0.075m)2 = 27.562 Joules Total work done from the initial to the final state is equal to the summation of the three works done above: Wtotal = W12 + W23(const) + W23 (spring) Wtotal = 33.333 + 33.333 + 27.562 = 94.228 Joules of work done. Is my approach to this question reasonable? If not what can I do to fix or look up where I've gone wrong? As always, every ones help is greatly appreciated.