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A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure P i = 10 5 Pa and volume V i = 10 –3 m 3 changes to a final state at P f = (1/32) × 10 5 Pa and V f = 8 × 10 –3 m 3 in an adiabatic quasi-static process, such that P 3 V 5 = 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 P i followed by an isochoric (isovolumetric) process at volume V 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
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Correct answer: 588 J

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