Answer to Question #262526 in Mechanical Engineering for Angel

Question

An air compressor works with a compression ratio 6:1 . If the incoming air is at a pressure of 1 bar and temperature of 20 degrees °C , calculate the final air pressure if the final temperature is 68 °C . Note : 1bar = 100 * 10 ^ 3 * Pa

Answer 1

Solution;

Take the adiabatic index of air as 1.4

Given;

$P_1=1bar$ =$100*10^3Pa$

$T_1=20°c=293K$

$T_2=68°c=341K$

Assume it's an adiabatic compression,which relates temperature and pressure as follows;

$\frac{P_2}{P_1}=(\frac{T_2}{T_1})^{\frac{\gamma}{\gamma-1}}$

By substitution;

$P_2=(\frac{341}{293})^{\frac{1.4}{0.4}}$ × 1 bar

$P_2=1.7bar$