An isentropic air turbine is used to supply 1.0 kg/s of air at 0.1 and at 285 k to a cabin. the pressure at inlet to the turbine is 0.4 . determine the temperature at turbine inlet and the power developed by the turbine. assume cp = 1.0 kj/kgk.
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Given An isentropic air turbine is used to supply 1.0 kg/s of air at 0.1 and at 285 k to a cabin. the pressure at inlet to the turbine is 0.4 . determine the temperature at turbine inlet and the power developed by the turbine. assume cp = 1.0 kj/kgk.
- So we have
- Given mass (air) m1 = 0.1 kg/s
- Pressure P1 = 0.1 MN/m^2
- Pressure P2 = 0.4 MN /m^2
- T4 = 285 K
- So Cp = 1.0KJ/Kg K
- For air γ = 1.4
- So we need to find temperature at turbine inlet T3
- T3 / T4 = (P2 / P1) ^γ – 1 / γ
- T3 / 285 = (0.4 / 0.1)^1.4 – 1 / 1.4
- = 4^2/7 x 285
- = 1.485 x 285
- = 423.49
- = 423.5 K
- Now power developed will be
- P = m a Cp (T3 – T4)
- = 0.1 x 1.0 (423.5 – 285)
- = 0.1 x 138.5
- P = 13.85 kW
Reference link will be
https://brainly.com/question/12937453
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