A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically to decrease the temperature back to the initial value. By what factor would the work done by the gas decreased, had the process been isothermal?

Question

A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically to decrease the temperature back to the initial value. By what factor would the work done by the gas decreased, had the process been isothermal?, 2, 1 2, ln 2, ln 3

MARKS App · Accepted Answer

Δ W ABC = 2 P 2 V - V = 2 PV Δ W ADC = nRT ln 2 V / V = 2 PV ln 2 ∴ The required factor will be = 2 PV ln 2 2 PV = ln 2

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