Thermodynamic Properties of Moist Air Assignment

Assignment Task

1. A gas at 100oF has a specific heat at constant pressure of 0.28 Btu/Ibm-oF. Independent of pressure, for every degree rise in temperature the Cp increases by 0.0005 Btu. Assuming one pound of the gas, (a) calculate the change of enthalpy if the temperature rises by 200oF, (b) calculate change in pv (p is the pressure and v is the volume) in Btu/Ibm if Cv is less by 0.08 Btu/Ibm-oF.

2. A reversible cyclic device does work, while exchanging heat with three constant temperature reservoirs. The three reservoirs 1, 2, and 3 are at temperatures of 1000oK, 300oK, and 500oK respectively. It is known that 400 kJ of heat are transferred from reservoir 1 to the device, and the total work done by the cyclic device is 100 kJ. Determine both the magnitude and direction of the heat transfer with the other two reservoirs.

3. Steam enters a heat exchanger at 1.4 MPa and 300oC, where it condenses on the outside of some tubes. The condensed steam leaves the heat exchanger as liquid at 1.4 MPa and 150oC with a flow rate of 5,000 kg/hr. The steam is condensed by water passing through the tubes. The water enters the heat exchanger at 20oC and experience a temperature rise of 20oC before leaving. Assuming the heat exchanger to be adiabatic, determine the flow rate of water required.

4. One Ibm/min of steam initially at 14.7 psia, 284.5oF is compressed in a water cooled compressor to a final state of 150 psia, 1200oF. The cooling water enters at 284.5oF and a mass flow rate of 0.465 Ibm/min, and leaves at 500oF. For a combined system of the steam and the cooling water, calculate the change in entropy of the universe for the process. (Cp for water = 1 Btu/Ibm-oR).

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