Example Problems

Here are some example problems based on the material
in this lesson. I encourage you to read them,
think about them and maybe give them a try yourself. Then click on the
solution link at the end of each problem to see my solution and a good explanation.
Click on the Help Blog link to see questions and answers about each problem.

7E-1 :

Isentropic Compression of Ammonia

4 pts

Saturated ammonia vapor enters an adiabatic compressor at -10°C and leaves at a pressure of 1.0 MPa. Determine the work requirement per kg of ammonia for the compressor if the process is reversible.
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7E-2 :

PVT Relationships for Isentropic, IG Processes

8 pts

The pressure-volume diagram of a Carnot power cycle executed by an ideal gas with constant specific heat ratio γ is shown in the diagram. Demonstrate that …
a.) V4 V2 = V1 V3
b.) T2 T3 = (P2 / P3)((γ-1)/γ)
c.) T2 T3 = (V3 / V2)γ-1
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7E-3 :

Work and ΔS for IGs Undergoing Isothermal, Polytropic and Adiabatic Processes

8 pts

One-tenth pound mass of helium initially at 15 lbf/in2, 80°F undergoes an internally reversible compression to 90 lbf/in2. Employing the ideal gas model, determine the work, in Btu, and the change in entropy, in Btu/°R, if the process is (a) isothermal, (b) polytropic with δ = 1.3, (c) adiabatic. Sketch the processes on PV and TS coordinates.
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7E-4 :

Isentropic Efficiency of an Ideal Gas Compressor

7 pts

Air enters an insulated compressor operating at steady-state at 1.05 bar, 300K with a mass flow rate of 1.8 kg/s and exits at 2.9 bar. Kinetic and potential energy effects are negligible.
a.) Determine the minimum theoretical power input required, in kW, and the corresponding exit temperature, in K.
b.) If the exit temperature is 420 K, determine the power input, in kW, and the isentropic compressor efficiency.

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7E-5 :

Power Input for an Internally Reversible, Polytropic Compressor

6 pts

Refrigerant 134a enters a compressor operating at steady-state as saturated vapor at 2 bar with a volumetric flow rate of 0.019 m3/s. The refrigerant is compressed to a pressure of 8 bar in an internally reversible process according to PV1.03= constant.
a.) the power required, in kW.
b.) the rate of heat transfer, in kW.

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