$[$Note: Take $1$

www

$0\mathrm{.}286$ and Cp $1\mathrm{.}005$ kJ$/$kg K for all problems,

Y

unless stated otherwise.$]$

$5\mathrm{.}1$ In a gas turbine plant, air enters the compressor at $1$ bar and $27\backslash$deg C$.$ The pressure ratio is $6.$ The temperature at turbine inlet is $1000$ K$.$ The mass flow rate of air is $10$ kg$/$s$.$ Determine

$($i$)$ power required to drive the compressor and the turbine power output,

$($ii$)$ the ratio of the turbine to compressor work,

$($iii$)$ net power developed by the plant, and

$($iv$)$ the thermal efficiency.

Ans:

$($i$)2018\mathrm{.}14$ kW; $4029\mathrm{.}75$ kW $($ii$)1\mathrm{.}997($iii$)2011\mathrm{.}61$ kW $($iv$)40\mathrm{.}10\%$