and a temperature of 600 k to the atmosphere. The atmospheric pressure and temperature are 100 $kN/m^2$ and 298K. Calculate availability at the entrance to the gas turbine and exhaust of the gas turbine.

m = 1.5 kg, = 600 kN/ p1 m2 or kPa, $T_ 1300K$

$p_2 = 102 kPa, T_2 = 600K, p_0 = 100 kPa, T_0 = 298 K$

Assumptions: The changes in kinetic and the potential energy is negligible and the process is adiabatic.

i) Availability at entrance $(A_1 - A_0)$

ii)Availability at exit $(A_2 - A_0)$

$A_2 − A_0 = m[(h_2 − h_0) − T_0(S_2 − S_0)]$

$S_2 – S_0 = R log_e(p_2/p_0 )+ Cp log_e(T_0/T_2 )$