APPLIED ENGINEERING THERMODYNAMICS
MAE 115
1. A mixture of gas consists of 30% H2, 40% He, and 30% N2 by volume. The mixture is expanded isentropically from 5000 kPa and 600oC to 200 kPa. Calculate the work produced per unit mass of the mixture.
2. Propane and air are supplied to an internal combustion engine such that, on a mass basis, the air-fuel ratio is 16 when the pressure is 95 kPa and the temperature is 30oC. The mixture is compressed such that the ratio of the initial volume to the final volume is 9.5 (Compression ratio V1/V2 = 9.5). If the compression process is isentropic, determine the required work input for this compression process in kJ/kg of mixture.
3. A mixture of hydrocarbon gases is composed of 60% methane, 25% propane, and 15% butane by weight. This mixture is compressed from 100 kPa and 20oC to 1000 kPa in a reversible, isothermal, steady-flow compressor. Calculate the work and heat transfer for this compression per unit mass of the mixture.
4. Prove that the enthalpy of an ideal gas is only a function of temperature.
5. Verify the validity of the 4th Maxwell relation for refrigerant R-134a at 50oC and 0.7 MPa.
6. Derive an expression governing ∆u, ∆ℎ, and ∆s for a gas undergoing an isothermal process and under an equation of state P(v − a) = RT.
7. The pressure of a fluid always decreases during an adiabatic throttling process. Is this also the case for the temperature?
8. Estimate the Joule-Thompson coefficient of refrigerant R-134a at 40 psia and 60oF.
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