Physics

Problem

A gas is enclosed in a cylinder with a movable frictionless piston. Its initial thermodynamic state at pressure

P_i = 10^5 \text{ Pa}

and volume

V_i = 10^{-3} \text{ m}^3

changes to a final state at

P_f = (1/32) \times 10^5 \text{ Pa}

and

V_f = 8 \times 10^{-3} \text{ m}^3

in an adiabatic quasi-static process, such that

P^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

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 a. 112 J b. 294 J c. 588 J d. 813 J

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