A gas is enclosed in a cylinder with a movable frictionless piston

PHYSICS · Single correct · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure Pi=105 PaP_i = 10^5 \text{ Pa} and volume Vi=10−3 m3V_i = 10^{-3} \text{ m}^3 changes to a final state at Pf=(1/32)×105 PaP_f = (1/32) \times 10^5 \text{ Pa} and Vf=8×10−3 m3V_f = 8 \times 10^{-3} \text{ m}^3 in an adiabatic quasi-static process, such that P3V5=constantP^3 V^5 = \text{constant}. Consider another thermodynamic process that brings the system from the same initial state to the same final state in two steps: an isobaric expansion at PiP_i followed by an isochoric (isovolumetric) process at volume VfV_f. The amount of heat supplied to the system in the two-step process is approximately (1) 112 J (2) 294 J (3) 588 J (4) 813 J

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