Argon gas enters an adiabatic turbine steadily at $900$ kPa and $450$C with a velocity

of $80$ m$/$s and leaves at $150$ kPa with a velocity of $150$ m$/$s$.$ The inlet area of the turbine is $60$ cm$2$

$.$

The power output of the turbine is $250$ kW$.$ Considering Argon as an Ideal Gas, and constant

specific heats at Room Temperature,

Determine: $-$

$($a$)$Mass flow rate $($kg$/$s$)$

$($b$)$The exit temperature of the argon. $($C$)$

$($c$)$Flow Energy at the entry and exit $($kJ$/$kg$)$

$($d$)$Exit Area of the Turbine