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The Brayton cycle is a thermodynamic cycle that works on the basis of constant pressure process . It involves four operation , like isentropic compression , constant pressure heat addition , isentropic expansion and constant pressure heat rejection. It is mostly used in gas turbine power plants.

The performance of a Brayton engine operating at a compression ratio of r with a gas of heat capacity ratio of $纬$is calculated as follows:

$\begin{array}{r}畏=1鈭�\frac{1}{r^{\frac{纬鈭�1}{纬}}}\\ \end{array}$
Simplify as follows.

$\begin{array}{r}\\ \frac{1}{r^{\frac{纬鈭�1}{纬}}}=1鈭�畏\end{array}$

Therefore we have

$r^{\frac{纬鈭�1}{纬}}=\frac{1}{1鈭�畏}.$

The value of $纬$for air is 1.4 . Efficiency is 50% hence$畏=.50$

The ratio $r$is given by

localid="1649322326172" $\begin{array}{r}r=\sqrt[\frac{纬-1}{纬}]{\frac{1}{1鈭�畏}}\\ r=\sqrt[\frac{1.40-1}{1.40}]{\frac{1}{1鈭�0.5}}=11.3.\end{array}$