Explanation Given: The pressure of water at inlet of flash evaporator is 300 lbf/in 2 . The temperature of water at inlet of flash evaporator is 350 F . Pressure of vapor and liquid at exit is 60 lbf/in 2 . The exit pressure of turbine is 1 lbf/in 2 . Quality of steam at exit of turbine is 90 % . Power produced by turbine is 1000 hp . Concept used: Write the expression for enthalpy of water at the exit of throttling valve. h 1 = h f 1 + x h f g 1 .......... (1) Here, h 1 is the enthalpy of water at the exit of throttling valve, x is the quality of steam at the exit of throttling valve, h f 1 is the specific enthalpy of saturated water at 400 kPa and h f g 1 is the specific enthalpy of evaporation at 400 kPa . Write the expression for enthalpy of water at the exit of turbine. h 3 = h f 3 + x 3 h f g 3 .......... (2) Here, h 3 is the enthalpy of water at the exit of turbine, h f 3 is the specific enthalpy of saturated water at 10 kPa and h f g 3 is the specific enthalpy of evaporation at 10 kPa . Write the expression for mass flow rate of saturated vapor in turbine. m ˙ 2 = W ˙ h 2 − h 3 .......... (3) Here, m ˙ 2 is the mass flow rate of saturated vapor in turbine and W ˙ is the power output of turbine. Write the expression for mass flow rate of hot geothermal water. m ˙ 1 = m ˙ 2 x .......... (4) Here, m ˙ 1 is the mass flow rate of hot geothermal water. Calculation: Refer to table F.7.1” properties of saturated water” to obtain the specific enthalpy of water corresponding to 350 F as 321.8 Btu/lbm . Refer to table F.7.1” properties of saturated water” to obtain the specific enthalpy of water corresponding to 60 lbf/in 2 by interpolation as 262.2 Btu/lbm , specific enthalpy of vapor corresponding to 60 lbf/in 2 as 1178

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ISBN: 9781119321453

Author: Sonntag

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 4, Problem 4.157EP

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The mass flow rate of hot geothermal water in lbm/h .

Solution Summary: The author describes the mass flow rate of hot geothermal water in 222343.12lbm/h and the temperature of water at inlet of flash evaporator.

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