Explanation Write relation of thermal efficiency of the combined gas-steam power plant. η cc = η g + η s − η g η s (I) Here, the efficiency of the combined gas-steam power plant is η cc , the efficiency of the gas power cycle is η g , and the efficiency of the steam power cycle is η s . Conclusion: Factoring out the term η g from Equation (I) as follows. η cc = η s + η g ( 1 − η s ) (II) In Equation (II), the term η g ( 1 − η s ) is positive and the term η s is lesser than 1 ( η s < 1 ) . The result of Equation (II) is greater than the value of η s . Thus, the thermal efficiency of the combined gas-steam power plant is greater than the efficiency of steam power cycle. Factoring out the term η s from Equation (I) as follows. η cc = η g + η s ( 1 − η g ) (III) In Equation (III), the term η s ( 1 − η g ) is positive and the term η g is lesser than 1 ( η g < 1 ) . The result of Equation (III) is greater than the value of η g

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Chapter 10.9, Problem 118RP

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Prove that the efficiency of the combined gas-steam power plant is greater than either the efficiency of gas power cycle or steam power cycle.

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Chapter 10.9, Problem 117RP

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Prove that the efficiency of the combined gas-steam power plant is greater than either the efficiency of gas power cycle or steam power cycle.

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Prove that the efficiency of the combined gas-steam power plant is greater than either the efficiency of gas power cycle or steam power cycle.

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