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The air with enthalpy of 100 kJ/kg is compressed by an air compressor to a pressure and temperature at which its enthalpy becomes 200 kJ/kg. The loss of heat is 40 kJ/kg from the compressor as the air passes through it. Neglecting the change in kinetic and potential energies, the power required for an air mass flow of 0.5 kg/s is
  • a)
    30 kW
  • b)
    50 kW
  • c)
    70 kW
  • d)
    90 kW
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The air with enthalpy of 100 kJ/kg is compressed by an air compressor ...
For given condition of air compressor steady flow of the energy equation is
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The air with enthalpy of 100 kJ/kg is compressed by an air compressor ...
Given data:
Initial enthalpy (h1) = 100 kJ/kg
Final enthalpy (h2) = 200 kJ/kg
Heat loss (Q) = 40 kJ/kg
Mass flow rate (m) = 0.5 kg/s

We need to find the power required for the air mass flow.

The power required for the air mass flow can be calculated using the equation:

Power = (Change in enthalpy + Heat loss) * Mass flow rate

Calculating the change in enthalpy:
Change in enthalpy (Δh) = h2 - h1
Δh = 200 kJ/kg - 100 kJ/kg
Δh = 100 kJ/kg

Now, substituting the values in the equation for power:

Power = (Δh + Q) * m
Power = (100 kJ/kg + 40 kJ/kg) * 0.5 kg/s
Power = 140 kJ/kg * 0.5 kg/s
Power = 70 kW

Therefore, the power required for the air mass flow is 70 kW.
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Community Answer
The air with enthalpy of 100 kJ/kg is compressed by an air compressor ...
70kw
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The air with enthalpy of 100 kJ/kg is compressed by an air compressor to a pressure and temperature at which its enthalpy becomes 200 kJ/kg. The loss of heat is 40 kJ/kg from the compressor as the air passes through it. Neglecting the change in kinetic and potential energies, the power required for an air mass flow of 0.5 kg/s isa)30 kWb)50 kWc)70 kWd)90 kWCorrect answer is option 'C'. Can you explain this answer?
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