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A steam turbine receives steam steadily at 10 bar with an enthalpy of 3000 kj/kg and discharges at 1 bar with an enthalpy of 2700 kj/kg. The work output is 250 kJ/kg. The changes in kinetic and potential energies are negligible. The heat transfer from the turbine casing to the surroundings is equal to
  • a)
    0 kJ    
  • b)
    50 kJ
  • c)
    150 kJ    
  • d)
    250 kJ
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A steam turbine receives steam steadily at 10 bar with an enthalpy of ...
Given that
h1= 3000 kJ/kg
h2 = 2700 kJ/kg
W = 350 kJ/kg
Using steady state energy equation, h1 = h+ W + Q
3000 = 2700 + 250 + Q
Q = 50 kJ
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Most Upvoted Answer
A steam turbine receives steam steadily at 10 bar with an enthalpy of ...
Understanding the Problem
In this scenario, we are analyzing the performance of a steam turbine. The steam enters at a high pressure and enthalpy, and exits at a lower pressure and enthalpy.
Key Parameters
- Inlet Conditions:
- Pressure: 10 bar
- Enthalpy: 3000 kJ/kg
- Outlet Conditions:
- Pressure: 1 bar
- Enthalpy: 2700 kJ/kg
- Work Output: 250 kJ/kg
Applying the First Law of Thermodynamics
The first law states that the energy added to the system minus the energy leaving the system equals the change in internal energy. In this case, since kinetic and potential energy changes are negligible, we can express the first law as:
Energy In - Energy Out = Work Done + Heat Transfer
Calculating Energy In and Out
- Energy In:
- Enthalpy in: 3000 kJ/kg
- Energy Out:
- Enthalpy out: 2700 kJ/kg
- Work output: 250 kJ/kg
Using the first law:
Energy In - (Energy Out + Work Output) = Heat Transfer
Substituting the values:
3000 kJ/kg - (2700 kJ/kg + 250 kJ/kg) = Heat Transfer
Calculating Heat Transfer
- Energy Out Total:
- 2700 kJ/kg + 250 kJ/kg = 2950 kJ/kg
- Heat Transfer Calculation:
- 3000 kJ/kg - 2950 kJ/kg = 50 kJ
Conclusion
The heat transfer from the turbine casing to the surroundings is 50 kJ. Thus, the correct answer is option B) 50 kJ.
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A steam turbine receives steam steadily at 10 bar with an enthalpy of 3000 kj/kg and discharges at 1 bar with an enthalpy of 2700 kj/kg. The work output is 250 kJ/kg. The changes in kinetic and potential energies are negligible. The heat transfer from the turbine casing to the surroundings is equal toa)0 kJ b)50 kJc)150 kJ d)250 kJCorrect answer is option 'B'. Can you explain this answer?
Question Description
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