A thermodynamic system is taken through the cycle abcda shown in the P–V diagram: a = (100 cm³, 100 kPa), b = (400 cm³, 100 kPa), c = (400 cm³, 300 kPa), and d = (100 cm³, 300 kPa). The work done by the gas along path bc is:
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Question

A thermodynamic system is taken through the cycle abcda shown in the P–V diagram: a = (100 cm³, 100 kPa), b = (400 cm³, 100 kPa), c = (400 cm³, 300 kPa), and d = (100 cm³, 300 kPa). The work done by the gas along path bc is:

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G1 Physics · Accepted Answer

Step 1: Mechanical work in a quasistatic P–V process is W = ∫P dV. Step 2: On the provided graph, path b→c is vertical, so volume remains fixed at 400 cm³ even though pressure changes. Step 3: Since ΔV = 0 throughout path b→c, every infinitesimal work element P dV equals zero. Step 4: Hence work for path b→c: W = 0 J. Final answer: (D) zero.