(a) Explanation Write the expresssion for the efficiency of reversible cycle. η R = T H − T c T H (I) Here, the reversible cycle efficiency or the maximum thermal efficiency of the cycle is η R , the temperature of the high temperature reservoir is T H and the temperature of the low temperature reservoir is T c . Write the expression for the efficiency of the power cycle. η = W c y c l e W c y c l e + Q c (II) Here, the work output of the cycle is W c y c l e , efficiecy of the power cycle is η and heat rejected to the atmosphere is Q c . Calculate the maximum cost for the power generated per year in Dollars. ( W c y c l e ) $ / y e a r = ( W c y c l e ) ( 10 3 kW 1 MW ) ( 8000 hr year ) ( $ 0 .1 year ) (III) Here, the value of power generated per year in dollar is ( W c y c l e ) $ / y e a r . Conclusion: Substitute 300 K for T c and 1000 K for T H in the Equation (I). η R = 1000 K − 300 K 1000 K = 700 1000 = 0.7 Since reversible power cycle is the only cycle that can develop the maxumum power in a temperature limit. The maximum power output is possible, when the efficiency of power cycle is equal to the reversible power cycle (b) To determine The fuel cost corresponding to the maximum power generation.

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 5.11, Problem 40P

(a)

To determine

The maximum cost for the power generated.

(b)

To determine

The fuel cost corresponding to the maximum power generation.

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Chapter 5.11, Problem 39P

Chapter 5.11, Problem 41P

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