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1.5 Kg of gas flows through gas turbine unit from its initial pressure and temperature 600 KN/m2 and 1300K respectively and exhausts a pressure of 102 KN/m2 and a temperature of 600K to the atmosphere

The atmospheric pressure and temperature are 100KN/m2 and 298 K. Calculate availability at the entrance to the gas turbine and exhaust of the gas turbine

Mumbai university > Mechanical Engineering > Sem 3 > Thermodynamics

Marks: 12M

Year: May 2016

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Mass of air=1.5 kg

Pressure, $P_1=600kN/m^2$ ,$P_2=102KN/m^2$ ,$P_a=100KN/m^2$

Temperature, $T_1=1300K,T_2=600K,T_a=298K$

Availability at inlet

$Ψ_1=(h_1-h_0 )-T_0 (s_1-s_0 )$

=(4707.9-104.3)—298(9.2039-0.365)

=1969.61KJ/Kg

=1.5×1969.61for 1.5 kg

=2954.415 KJ

Availability at outlet

$Ψ_2=(h_2-h_0 )-T_0 (s_2-s_0 )$

=(3128.7-104.3)-298(8.3004-0.365)

=659.651KJ/Kg

=659.651×1.5for 1.5 Kg

=989.4762KJ

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