Methane at 278C, 10 MPa enters a turbine operating at

Chapter 11, Problem 11.85

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Methane at \(27^{\circ} \mathrm{C}\), 10 MPa enters a turbine operating at steady state, expands adiabatically through a 5 : 1 pressure ratio, and exits at \(-48^{\circ} \mathrm{C}\). Kinetic and potential energy effects are negligible. If \(\bar{c}_{p o}=35 \mathrm{~kJ} / \mathrm{kmol} \cdot \mathrm{K}\), determine the work developed per kg of methane flowing through the turbine. Compare with the value obtained using the ideal gas model.

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