GATE ME 2021 Set 2 — Question 57
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Thermodynamics → Power Cycles → Rankine, Reheat & Regenerative
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Question
Consider the open feed water heater (FWH) shown in the figure given below:
Specific enthalpy of steam at location 2 is , specific enthalpy of water at location 5 is and specific enthalpy of saturated water at location 6 is . If the mass flow rate of water entering the open feed water heater (at location 5) is then the mass flow rate of steam at location 2 will be ________ kg/s (round off to one decimal place).

Correct answer
25 to 25.4
Solution
For an open feed water heater, we perform an energy and mass balance.
Mass balance:
Energy balance:
Substituting the mass balance into the energy balance:Given , , , and :Rounding to one decimal place, the mass flow rate is kg/s.
Mass balance:
Energy balance:
Substituting the mass balance into the energy balance:Given , , , and :Rounding to one decimal place, the mass flow rate is kg/s.
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