Question

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.

Answer 1

Step-by-step explanation:

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