(a) Explanation Write the expression for the fraction of the flow at location 2 at control volume. y ′ = h 9 − h 8 h 2 − h 10 (I) Here, the fraction of the flow at location 2 is y ′ , the specific enthalpy at point 2 is h 2 , the specific enthalpy at point 8 is h 8 , the specific enthalpy at point 9 is h 9 and the specific enthalpy at point 10 is h 10 . Write the expression for the fraction of the flow at location 3 at control volume. y ′ ′ = h 7 − h 6 + y ′ ( h 6 − h 11 ) h 3 − h 6 (II) Here, the fraction of the flow at location 3 is y ′ ′ , the specific enthalpy at point 3 is h 3 , the specific enthalpy at point 6 is h 6 , the specific enthalpy at point 7 is h 7 and the specific enthalpy at point 11 is h 11 . Write the expression for the rate of the work for the turbine. W ˙ t m ˙ 1 = h 1 − y ′ h 2 − y ″ h 3 − ( 1 − y ′ − y ″ ) h 4 (III) Here, the rate of the work transfer is W ˙ t , the rate of the mass transfer is m ˙ 1 the specific enthalpy at point 1 is h 1 and the specific enthalpy at point 4 is h 4 . Write the expression for the rate of the work for the pump. W ˙ p m ˙ 1 = h 8 − h 7 + ( 1 − y ′ − y ″ ) ( h 6 − h 5 ) (IV) Here, the rate of the work transfer for pump is W ˙ p . Write the expression for the rate of the heat transfer through the steam generator. Q ˙ i n m ˙ 1 = h 1 − h 9 (V) Here, the rate of the heat transfer through the steam generator is Q ˙ i n . Write the expression for the thermal efficiency. η = ( W ˙ t m ˙ 1 − W ˙ p m ˙ 1 ) Q ˙ i n m ˙ 1 (VI) Here, the thermal efficiency is η . Conclusion: Substitute 719.21 kJ / kg for h 9 , 504.71 kJ / kg for h 8 , 2781.6 kJ / kg for h 2 and 2497.0 kJ / kg for h 3 in Equation (I). y ′ = ( 719.21 kJ / kg − 504.71 kJ / kg ) ( 2781.6 kJ / kg − 762.81 kJ / kg ) = 214.5 kJ / kg 2018.79 kJ / kg = 0.10625 ≈ 0.1063 Substitute 0.1063 for y ′ , 504.70 kJ / kg for h 7 , 391.70 kJ / kg for h 6 , 762.81 kJ / kg for h 11 and 762.81 kJ / kg for h 10 in Equation (II). y ″ = ( 504.70 kJ / kg − 391.70 kJ / kg ) + 0.1063 ( 391.70 kJ / kg − 762.81 kJ / kg ) ( 2497.0 kJ / kg − 391.70 kJ / kg ) = ( 113 kJ / kg ) + ( − 39 (b) To determine The mass flow rate into the first turbine stage. (c) To determine The rate of the heat transfer from the working fluid as it passes through the condenser.

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 8.6, Problem 63P

(a)

To determine

The thermal efficiency of the cycle.

(b)

To determine

The mass flow rate into the first turbine stage.

(c)

To determine

The rate of the heat transfer from the working fluid as it passes through the condenser.

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Chapter 8.6, Problem 61P

Chapter 8.6, Problem 64P

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Ch. 8.6 - Prob. 1E Ch. 8.6 - Prob. 2E Ch. 8.6 - Prob. 3E Ch. 8.6 - Prob. 4E Ch. 8.6 - Prob. 5E Ch. 8.6 - Prob. 6E Ch. 8.6 - Prob. 7E Ch. 8.6 - 8. What is the relationship between global climate...Ch. 8.6 - Prob. 9E Ch. 8.6 - Prob. 10E

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