Question

Insulated Gas Turbine Air enters an adiabatic gas turbine at 1050 K and 1 MPa and leaves at 400 kPa. Kinetic and potential energy changes can be ignored. Treat the air as an ideal gas with constant specific heats. Let k = 1.4

a. Determine the theoretical exit temperature - corresponding to part "b" below, the maximum theoretical power output.
b. Determine the maximum theoretical work output for the gas turbine in kJ/kg.
c. If the isentropic turbine efficiency is 0.8, what is the actual work output of the turbine in kJ/kg?
d. What is the actual outlet temperature of the air?

Answer 1

a. Determine the theoretical exit temperature - corresponding to part "b" below, the maximum theoretical power output. = 808.15k

b. Determine the maximum theoretical work output for the gas turbine in kJ/kg. = 243.06 kj/kg

c. If the isentropic turbine efficiency is 0.8, what is the actual work output of the turbine in kJ/kg? = 194.45 kj/kg

d. What is the actual outlet temperature of the air? = 856.52k

Step-by-step explanation:

check the attachment for more explanation