A sample of ideal gas $ (\gamma=1.4) $ is heated at constant pressure. If $ 100 \mathrm{~J} $ of heat is supplied to the gas the work done by the gas is

Question

A sample of ideal gas $ (\gamma=1.4) $ is heated at constant pressure. If $ 100 \mathrm{~J} $ of heat is supplied to the gas the work done by the gas is, $ 28.57 \mathrm{~J} $, $ 56.54 \mathrm{~J} $, $ 38.92 \mathrm{~J} $, $ 65.38 \mathrm{~J} $

MARKS App · Accepted Answer

dQ = n C P dT dU = n C V dT dW = dQ - dU = n C P - C V dT dW dQ = n C P - C V dT n C P dT = C P C P - C V C P dW 100 = 1 - C V C P = 1 - 1 1.4 = 0.4 1.4 = 4 14 = 2 7 dW = 100 × 2 7 = 28.57 J

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