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Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is
  • a)
    6.5
  • b)
    8.9
  • c)
    9.1
  • d)
    27.0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Steam enters an adiabatic turbine operating at steady state with an en...
Given data:
- Enthalpy at the inlet (h1) = 3251.0 kJ/kg
- Pressure at the outlet (P2) = 15 kPa
- Quality at the outlet (x2) = 0.9
- Mass flow rate (m) = 10 kg/s
- Enthalpy of saturated liquid at 15 kPa (hf) = 225.94 kJ/kg
- Enthalpy of saturated vapor at 15 kPa (hg) = 2598.3 kJ/kg

Finding the work done by the turbine:
The work done by the turbine can be found using the steady flow energy equation, which is given by:

W = m(h1 - h2)

where W is the work done, m is the mass flow rate, h1 is the enthalpy at the inlet, and h2 is the enthalpy at the outlet.

To find h2, we can use the definition of quality:

x2 = (h2 - hf) / (hg - hf)

Rearranging this equation, we get:

h2 = hf + x2(hg - hf)

Substituting the given values, we get:

h2 = 225.94 + 0.9(2598.3 - 225.94) = 2567.3 kJ/kg

Substituting the values of m, h1, and h2, we get:

W = 10(3251.0 - 2567.3) = 6840 kW = 6.84 MW

Converting the answer to MW and rounding off to one decimal place, we get:

Power output of the turbine = 6.8 MW

Therefore, option B (8.9 MW) is incorrect.
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Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg andleaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of thesaturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. Themass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The poweroutput of the turbine in MW isa)6.5b)8.9c)9.1d)27.0Correct answer is option 'B'. Can you explain this answer?
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Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg andleaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of thesaturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. Themass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The poweroutput of the turbine in MW isa)6.5b)8.9c)9.1d)27.0Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg andleaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of thesaturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. Themass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The poweroutput of the turbine in MW isa)6.5b)8.9c)9.1d)27.0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg andleaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of thesaturated liquid and vapor at 15 kPa are hf = 225.94 kJ/kg and hg = 2598.3 kJ/kg respectively. Themass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The poweroutput of the turbine in MW isa)6.5b)8.9c)9.1d)27.0Correct answer is option 'B'. Can you explain this answer?.
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