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A cylinder/piston contains 1kg methane gas at 100 kPa, 20°C. The gas is compressed reversibly to a pressure of 800 kPa. Calculate the work required if the process is adiabatic.

A cylinder/piston contains 1kg methane gas at 100 kPa, 20°C. The gas is compressed reversibly to a pressure of 800 kPa. Calculate the work required if the process is adiabatic. Correct Answer -312.0 kJ

Process: 1Q2 = 0 => s2 = s1 thus isentropic process T2 = T1(P2/P1)^ = 293.2(800/100)^0.230 = 473.0 K 1W2 = -mCv(T2 – T1) = -1 × 1.7354 (473.0 – 293.2) = -312.0 kJ.

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