Current Attempt in Progress

Air modeled as an ideal gas enters a turbine operating at steady state at $1040K,278$kPa and exits at $120$ kPa $.$ The mass flow rate is

$5\mathrm{.}5k\frac{g}{s},$ and the power developed is $900$ kW $.$ Stray heat transfer and kinetic and potential energy effects are negligible.

Assuming $k=1\mathrm{.}4,$ determine:

$($a$)$ the temperature of the air at the turbine exit, in K $.$

$($b$)$ the percent isentropic turbine efficiency.

Part A

Assuming $k=1\mathrm{.}4,$ determine the temperature of the air at the turbine exit, in K $.$

$T_2=$