(a) Explanation The T − s diagram with given state is shown below. Figure-(1) Write the expression for the specific entropy at point 2s. s 2 s = s f + x 2 s s f g (I) Here, the specific entropy of the saturated water is s f and the specific entropy of the water vapor mixture is s f g and the dryness fraction is x 2 corresponding to point 2. Write the expression for the specific enthalpy at point 2s h 2 s = h f + x 2 s h f g (II) Here, the specific enthalpy of the saturated water is h f and the specific enthalpy of the water vapor mixture is h f g and the dryness fraction is x 2 s corresponding to point 2. Write the expression for the isentropic efficiency for 1 st turbine. η T 1 = h 1 − h 2 h 1 − h 2 s (III) Here, the specific enthalpy at point 1 is h 1 and at point 2 is h 2 . Write the expression for the specific entropy at point 4s. s 4 s = s f + x 4 s s f g (IV) Here, the specific entropy of the saturated water is s f and the specific entropy of the water vapor mixture is s f g and the dryness fraction is x 4 s corresponding to point 4s. Write the expression for the specific enthalpy at point 4s. h 4 s = h f + x 4 s h f g (V) Here, the specific enthalpy of the saturated water is h f and the specific enthalpy of the water vapor mixture is h f g and the dryness fraction is x 4 s corresponding to point 4s. Write the expression for the isentropic efficiency for 2 nd turbine. η T 2 = h 3 − h 4 h 3 − h 4 s (VI) Here, the specific enthalpy at point 3 is h 1 and at point 4 is h 4 . Write the expression for the pump work. W P = − v f ( p 6 − p 5 ) (VII) Here the specific volume of the liquid at inlet of the pump is v f and the pressure at state 6 is p 6 and the pressure at state 5 is p 5 . Write the expression for the pump work. W P = h 5 − h 6 s (VIII) Here, the specific enthalpy at state 5 is h 5 and the specific enthalpy at state 6s is h 6 s . Write the expression for the isentropic efficiency for pump. η P = h 6 s − h 5 h 6 − h 5 (IX) Here, the specific enthalpy at point 6 is h 6 and at point 5is h 5 . Write the expression for the heat addition for 1 st stage turbine. Q 1 st = h 1 − h 6 (X) Here, the enthalpy at point 1 is h 1 . Conclusion: Refer to Superheated steam table to obtain specific enthalpy as 3321.4 kJ / kg and the specific entropy 6.5282 kJ / kg ⋅ K at temperature 480 ° C and pressure 10 MPa and specific enthalpy as 3438.9 kJ / kg for h 3 and specific entropy 7.8723 kJ / kg ⋅ K at temperature 480 ° C and pressure 0.7 MPa . Refer to saturated steam table to obtain specific enthalpy of liquid as 697.22 kJ / kg , specific enthalpy of vaporization 2066.3 kJ / kg , and the specific entropy of liquid 1.9922 kJ / kg ⋅ K and specific entropy of vaporization as 4.7158 kJ / kg ⋅ K pressure 0.7 MPa and enthalpy of liquid as 151.53 kJ / kg , specific enthalpy of vaporization 2415.9 kJ / kg , and the specific entropy of liquid 0.521 kJ / kg ⋅ K and specific entropy of vaporization as 7.8094 kJ / kg ⋅ K and specific volume 1.004 × 10 − 3 m 3 / kg at pressure 6 kPa . Substitute 6.5282 kJ / kg ⋅ K for s 2 s , 1.9922 kJ / kg ⋅ K for s f and 4.7158 kJ / kg ⋅ K for s f g in Equation (I). 6.5282 kJ / kg ⋅ K = ( 1.9922 kJ / kg ⋅ K ) + x 2 s × ( 4.7158 kJ / kg ⋅ K ) x 2 s = ( 6.5282 kJ / kg ⋅ K ) − ( 1.9922 kJ / kg ⋅ K ) ( 4.7158 kJ / kg ⋅ K ) x 2 s = 0.9619 Substitute 697.22 kJ / kg for h f , 0.9619 for x 2 s and 2066.3 kJ / kg for h f g in Equation (II). h 2 S = 697.22 kJ / kg + 0.9619 × 2066.3 kJ / kg = 697.22 kJ / kg + 1987.57 kJ / kg = 2684.8 kJ / kg Substitute 0 (b) To determine The thermal efficiency. (c) To determine The heat transfer from the working fluid passing through the condenser to the cooling water.

8th Edition

ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 8.6, Problem 30P

(a)

To determine

The heat addition of steam entering the first-stage turbine.

(b)

To determine

The thermal efficiency.

(c)

To determine

The heat transfer from the working fluid passing through the condenser to the cooling water.

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Chapter 8.6, Problem 29P

Chapter 8.6, Problem 31P

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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

Ch. 8.6 - Prob. 11E Ch. 8.6 - Prob. 12E Ch. 8.6 - Prob. 13E Ch. 8.6 - Prob. 1CU Ch. 8.6 - Prob. 2CU Ch. 8.6 - 3. The component of the Rankine cycle in which the...Ch. 8.6 - 4. A cycle that couples two vapor cycles so the...Ch. 8.6 - 5. The ratio of the pump work input to the work...Ch. 8.6 - 6. A shell-and-tube-type recuperator in which the...Ch. 8.6 - Prob. 7CU Ch. 8.6 - Prob. 8CU Ch. 8.6 - Prob. 9CU Ch. 8.6 - Prob. 10CU Ch. 8.6 - 11. An example of an external irreversibility...Ch. 8.6 - Prob. 12CU Ch. 8.6 - Prob. 13CU Ch. 8.6 - Prob. 14CU Ch. 8.6 - 15. A direct-contact–type heat exchanger found in...Ch. 8.6 - 16. The component of a regenerative vapor power...Ch. 8.6 - Prob. 17CU Ch. 8.6 - 18. A Rankine cycle that employs an organic...Ch. 8.6 - Prob. 19CU Ch. 8.6 - Prob. 20CU Ch. 8.6 - Prob. 21CU Ch. 8.6 - Prob. 22CU Ch. 8.6 - Prob. 23CU Ch. 8.6 - 24. The purpose of deaeration is ______________. Ch. 8.6 - Prob. 25CU Ch. 8.6 - Prob. 26CU Ch. 8.6 - Prob. 27CU Ch. 8.6 - Prob. 28CU Ch. 8.6 - 29. The total cost associated with a power plant...Ch. 8.6 - Prob. 30CU Ch. 8.6 - Prob. 31CU Ch. 8.6 - Prob. 32CU Ch. 8.6 - Prob. 33CU Ch. 8.6 - Prob. 34CU Ch. 8.6 - Prob. 35CU Ch. 8.6 - Prob. 36CU Ch. 8.6 - Prob. 37CU Ch. 8.6 - Prob. 38CU Ch. 8.6 - Prob. 39CU Ch. 8.6 - 40. For a vapor power cycle with and , the...Ch. 8.6 - Prob. 41CU Ch. 8.6 - Prob. 42CU Ch. 8.6 - Prob. 43CU Ch. 8.6 - Prob. 44CU Ch. 8.6 - Prob. 45CU Ch. 8.6 - Prob. 46CU Ch. 8.6 - Prob. 47CU Ch. 8.6 - Prob. 48CU Ch. 8.6 - Prob. 49CU Ch. 8.6 - 50. In a binary cycle, energy discharged by heat...Ch. 8.6 - Prob. 1P Ch. 8.6 - Prob. 2P Ch. 8.6 - Prob. 3P Ch. 8.6 - Prob. 6P Ch. 8.6 - 8.7 Water is the working fluid in an ideal Rankine...Ch. 8.6 - Prob. 8P Ch. 8.6 - 8.10 Water is the working fluid in an ideal...Ch. 8.6 - Prob. 12P Ch. 8.6 - Prob. 13P Ch. 8.6 - 8.14 On the south coast of the island of Hawaii,...Ch. 8.6 - Prob. 15P Ch. 8.6 - 8.17. Water is the working fluid in a Rankine...Ch. 8.6 - 8.19 Water is the working fluid in a Rankine...Ch. 8.6 - Prob. 20P Ch. 8.6 - Prob. 21P Ch. 8.6 - 8.22 Superheated steam at 8 MPa and 480°C leaves...Ch. 8.6 - Prob. 23P Ch. 8.6 - Prob. 25P Ch. 8.6 - Prob. 26P Ch. 8.6 - 8.27 Steam is the working fluid in the ideal...Ch. 8.6 - Prob. 28P Ch. 8.6 - Prob. 29P Ch. 8.6 - Prob. 30P Ch. 8.6 - Prob. 31P Ch. 8.6 - 8.32 An ideal Rankine cycle with reheat uses water...Ch. 8.6 - Prob. 33P Ch. 8.6 - 8.34 Steam at 4800 lbf/in.2, 1000℉ enters the...Ch. 8.6 - Prob. 35P Ch. 8.6 - Prob. 37P Ch. 8.6 - 8.38 For the cycle of Problem 8.37, reconsider the...Ch. 8.6 - Prob. 39P Ch. 8.6 - Prob. 40P Ch. 8.6 - Prob. 41P Ch. 8.6 - Prob. 42P Ch. 8.6 - Prob. 43P Ch. 8.6 - Prob. 44P Ch. 8.6 - Prob. 45P Ch. 8.6 - Prob. 46P Ch. 8.6 - Prob. 47P Ch. 8.6 - 8.48 For the cycle of Problem 8.47, investigate...Ch. 8.6 - Prob. 49P Ch. 8.6 - Prob. 50P Ch. 8.6 - Prob. 51P Ch. 8.6 - 8.52 As indicated in Fig. P8.52, a power plant...Ch. 8.6 - Prob. 53P Ch. 8.6 - Prob. 54P Ch. 8.6 - Prob. 55P Ch. 8.6 - Prob. 56P Ch. 8.6 - Prob. 57P Ch. 8.6 - Prob. 58P Ch. 8.6 - Prob. 59P Ch. 8.6 - Prob. 60P Ch. 8.6 - Prob. 61P Ch. 8.6 - Prob. 63P Ch. 8.6 - Prob. 64P Ch. 8.6 - Prob. 65P Ch. 8.6 - Prob. 66P Ch. 8.6 - 8.67 Water is the working fluid in a Rankine cycle...Ch. 8.6 - Prob. 68P Ch. 8.6 - Prob. 69P Ch. 8.6 - Prob. 70P Ch. 8.6 - 8.72 Water is the working fluid in a...Ch. 8.6 - Prob. 73P Ch. 8.6 - Prob. 74P Ch. 8.6 - Prob. 75P Ch. 8.6 - 8.76 A binary vapor power cycle consists of two...Ch. 8.6 - A binary vapor cycle consists of two Rankine...Ch. 8.6 - Prob. 78P Ch. 8.6 - Prob. 79P Ch. 8.6 - Prob. 80P Ch. 8.6 - 8.81 Figure P8.81 shows a combined heat and power...Ch. 8.6 - 8.82 Figure P8.82 shows a cogeneration cycle that...Ch. 8.6 - Prob. 83P Ch. 8.6 - 8.84 The steam generator of a vapor power plant...Ch. 8.6 - 8.85 Determine the exergy input, in kJ per kg of...Ch. 8.6 - 8.86 In the steam generator of the cycle of...Ch. 8.6 - Prob. 87P Ch. 8.6 - 8.88 Determine the rate of exergy input, in Btu/h,...Ch. 8.6 - Prob. 89P Ch. 8.6 - Prob. 90P Ch. 8.6 - Prob. 91P Ch. 8.6 - 8.92 Figure P8.92 provides steady-state operating...Ch. 8.6 - 8.93 Steam enters the turbine of a simple vapor...

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