Answer :
Answer:
The outlet temperature of turbine is 327.51 K.
Explanation:
We know that
in adiabatic process
[tex]PV^\gamma =C[/tex]
[tex]\dfrac{T_2}{T_1}=\left(\dfrac{P_2}{P_1}\right)^{\frac{\gamma -1}{\gamma }}[/tex]
Now by putting the values
[tex]\dfrac{T_2}{673}=\left(\dfrac{150}{2800}\right)^{\frac{1.4 -1}{1.4 }}[/tex]
[tex]T_2=289.39 K [/tex]
The efficiency of turbine is given as
[tex]\eta =\dfrac{T_1-\acute{T_2}}{T_1-T_2}[/tex]
By putting the values
[tex]0.9=\dfrac{673-\acute{T_2}}{673-289.39}[/tex]
[tex]\acute{T_2}=327.51 K[/tex]
So the outlet temperature of turbine is 327.51 K.
