MAE 105A W08 PS 8 Solutions

# MAE 105A W08 PS 8 Solutions - MAE 105A Introduction to...

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Unformatted text preview: MAE 105A Introduction to Engineering Thermodynamics Winter 2008 Problem Set 8 Air initially at 14 bar and 60°C expands to a ﬁnal pressure of 2.8 bar in an isothermal, internally reversible process. Determine the heat transfer and the work, each in k1 per kg of air. Sketch the processes on p—v and T—S diagrams. . Determine the ﬁnal temperature in DC when air is expanded isentropically from 1000 kPa, 477°C to 100 kPa in a piston—cylinder assembly. (a) Assume that the speciﬁc heats CD and CV are constants. (1)) Assume that the speciﬁc heats Cp and CV are temperature dependent. (c) Comment on your results. [Problem 6.54 in Moran and Shapiro]. For the silicon chip of Example 2.5, determine the rate of entropy production, in kW/K. What is the cause of entropy production in this case? [Problem 6.57 in Moran and Shapiro]. An electric water heater having a 200 liter capacity employes an electric resistor to heat water from 23 to 55°C. The outer surface of the resistor remains at an average temperature of 80°C. Heat transfer from the outside of the water heater is negligible and the states of the resistor and the tank holding the water do not change signiﬁcantly. Modeling the water as incompressible, determine the amount of entropy produced, in iii/K, for (a) the water as the system (b) the overall water heater including the resistor. Compare the results of parts (a) and (b), and discuss. . A large slab of concrete, 5 n1 X 8 m X 0.3 myis used as a thermal storage mass in a solar— heated house. If the slab cools overnight from 230C to 18°C in an 18°C house, what is the entropy generation associated with this process? . A rigid storage tank of 1.5 m3 contains 1 kg of argon at 30°C. Heat is then transferred to the argon from a furnace operating at 1300°C until the speciﬁc entropy of the argon has increased by 0.343 kJ/kg—K. Find the heat transfer and the entropy generation during this process. 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