JEE Advanced 2016 Paper 2

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi=105 Pa and volume Vi=10−3m3 changes to a final state at pf=(

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)×105Pa and Vf=8×10−3m3 in an adiabatic quasi-static process ,such that P3V5= constant.Consider another thermodynamic process that brings the system frm the same initial state to the same final state in two steps: an isobaric expansion at Pi followed by an isochoric (isovolumetric) process at volumes Vf.The amount of heat supplied to the system in the two steps process is approximately