Homework2_prblms

Homework2_prblms - eciency of a gas turbine. f. Consider an...

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MAE118A: Introduction to Energy Systems Homework 2 October 12, 2009 a. Show that Eq. 3.29 is correct, starting from 1 st and 2 nd laws of ther- modynamics and using definitions. Show all steps. b. Show that Eq. 3.21 is correct. Show all steps. c. Find the adiabatic combustion temperature of H 2 and CH 4 using the data from table 3.1 and the value of C p for H 2 O and CO 2 at STP which you should find using internet resources. Why is T ad | H 2 so much higher than T ad | CH 4 ? d. Draw the p - v diagram corresponding to the cycle shown in Fig. 3.2 and describe the path ( p = p ( v )) followed by each of the four parts of the closed cycle. e. Show that Eq. 3.33 is correct. if T ad = 1900 o C, T h = 600 o C and T c = 300 o C. Find η th η . Compare this result to the actual thermal
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Unformatted text preview: eciency of a gas turbine. f. Consider an Ideal Reversed Heat Engine (i.e., Heat Pump) with high T reservoir at T h , low T reservoir at T L . q L heat is removed from T L and injected into T h . Uing thermodynamic analysis, nd minimum amount of work needed to operate this heat pump in terms of q L , T h and T L . g. Suppose the world were to replace all coal red power plants with natural gas red power plants, and let us assume that both sets of power plants have identical thermal eciencies. By what fraction would CO2 emission from electricity generation be reduced? h. Problems 3.1 3.8 in Fay & Golomb. 1...
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