an adiabatic compressor compresses air at 150 kpa and 400k to 2 mpa. what is the exit temp of the air if it is an isentropic process



Answer :

Answer;

The exit temperature = 5333.33 K

Explanation:

The inlet pressure: P₁ = 150 kpa

The inlet temperature T₁ = 400K

The exit pressure, P₂ = 2 MPa = 2000 kPa

The exit tenperature, T₂ = ?

The relationship between temperature and pressure for an isentropic process is shown below

[tex]\frac{T_2}{T_1}=\frac{P_2}{P_1}[/tex]

Substitute the given parameters into the formula and solve for T₂

[tex]\begin{gathered} \frac{T_2}{400}=\frac{2000}{150} \\ \\ T_2=400(\frac{2000}{150}) \\ \\ T_2=5333.33K \\ \end{gathered}[/tex]

The exit temperature = 5333.33 K

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