1. The problem statement, all variables and given/known data Air contained in a piston–cylinder assembly, initially at 2 bar, 200 K, and a volume of 1 L, undergoes a process to a final state where the pressure is 8 bar and the volume is 2 L. During the process, the pressure–volume relationship is linear. Assuming the ideal gas model for the air, determine the work and heat transfer, each in kJ. 2. Relevant equations pv = RT (ideal gas, v = specific volume) W = ∫pdV ΔE = Q - W h = u(T) + RT 3. The attempt at a solution pv = RT => v = RT/p v = [ (8.314 kJ/kmol*k)/(28.97 kg/kmol) * (200 K) ] / (2 bar) * (105 N/m2 / bar) (1 kJ / 103 N*m) = 0.2689 m3/kg v = V/m => m = V/v m = 0.001 m3/ 0.2869 m3/kg = 0.003486 kg That's my calculations for the mass of the initial state, m1. Since the assembly is a closed system, the initial mass m1 should be equal to the final mass m2. I'm assuming the mass of the air would be used to find the change in internal energy. But, since the problem does not explicitly state it, am I allowed to assumed there are no effects in kinetic/potential energy? Also, as for the work and heat transfer calculations, I'm assuming that W = ∫pdV would come into play, but the statement regarding the linear pressure-volume relationship is throwing me off. Does that mean the same thing as pV = constant? I'm fairly lost right now, so if anyone can steer me in the right direction it would be greatly appreciated.