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Suppose 0.70 kg/s of air enters the compressor with a specific enthalpy of 290 kJ/kg and leaves it with specific enthalpy 450 kJ/kg. Velocities at inlet and exit are 6 m/s and 2 m/s, respectively. Assuming adiabatic process, what is power input to the compressor?

  • a)
    112 kW 

  • b)
    118 kW

  • c)
    115 kW

  • d)
    100.8 kW

Correct answer is option 'A'. Can you explain this answer?
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Suppose 0.70 kg/s of air enters the compressor with a specific enthalp...
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Suppose 0.70 kg/s of air enters the compressor with a specific enthalp...
Given data:
Mass flow rate of air (ṁ) = 0.70 kg/s
Specific enthalpy at inlet (h1) = 290 kJ/kg
Specific enthalpy at outlet (h2) = 450 kJ/kg
Velocity at inlet (V1) = 6 m/s
Velocity at outlet (V2) = 2 m/s

To calculate the power input to the compressor, we need to calculate the change in specific enthalpy (Δh) and the change in kinetic energy (ΔKE) of the air.

1. Calculate the change in specific enthalpy (Δh):
Δh = h2 - h1
Δh = 450 kJ/kg - 290 kJ/kg
Δh = 160 kJ/kg

2. Calculate the change in kinetic energy (ΔKE):
ΔKE = (V2^2 - V1^2) / 2
ΔKE = (2^2 - 6^2) / 2
ΔKE = (-32) / 2
ΔKE = -16 kJ/kg

Note: The negative sign indicates a reduction in kinetic energy.

3. Calculate the total change in specific energy (ΔE):
ΔE = Δh + ΔKE
ΔE = 160 kJ/kg - 16 kJ/kg
ΔE = 144 kJ/kg

4. Calculate the power input to the compressor:
Power = ṁ * ΔE
Power = 0.70 kg/s * 144 kJ/kg
Power = 100.8 kW

Therefore, the power input to the compressor is 100.8 kW, which is closest to option A) 112 kW.
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Suppose 0.70 kg/s of air enters the compressor with a specific enthalp...
According to me answer should be option D. anyone have explanation for A ?
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Suppose 0.70 kg/s of air enters the compressor with a specific enthalpy of 290 kJ/kg and leaves it with specific enthalpy 450 kJ/kg. Velocities at inlet and exit are 6 m/s and 2 m/s, respectively. Assuming adiabatic process, what is power input to the compressor?a)112 kWb)118 kWc)115 kWd)100.8 kWCorrect answer is option 'A'. Can you explain this answer?
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Suppose 0.70 kg/s of air enters the compressor with a specific enthalpy of 290 kJ/kg and leaves it with specific enthalpy 450 kJ/kg. Velocities at inlet and exit are 6 m/s and 2 m/s, respectively. Assuming adiabatic process, what is power input to the compressor?a)112 kWb)118 kWc)115 kWd)100.8 kWCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Suppose 0.70 kg/s of air enters the compressor with a specific enthalpy of 290 kJ/kg and leaves it with specific enthalpy 450 kJ/kg. Velocities at inlet and exit are 6 m/s and 2 m/s, respectively. Assuming adiabatic process, what is power input to the compressor?a)112 kWb)118 kWc)115 kWd)100.8 kWCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose 0.70 kg/s of air enters the compressor with a specific enthalpy of 290 kJ/kg and leaves it with specific enthalpy 450 kJ/kg. Velocities at inlet and exit are 6 m/s and 2 m/s, respectively. Assuming adiabatic process, what is power input to the compressor?a)112 kWb)118 kWc)115 kWd)100.8 kWCorrect answer is option 'A'. Can you explain this answer?.
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