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Example: An ideal air standard dual cycle operates under compression ratio of $15$ : $1.$ The inlet air conditions are $\frac{1}{b}ar,300K$ and the maximum temperature in the cycle is $2000$ K $.$ If equal amounts of heat are supplied in the constant volume and constant pressure processes. Evaluate the total heat supplied, the work ratio, and the cycle efficiency. Take $Cv=0\mathrm{.}718k\frac{J}{k}gK$ and $Cp=1\mathrm{.}005k\frac{J}{k}gK$

Solution :

$q,$

$q,$

For Process $(1-2)$: Reversible adiabatic Compressio $n($:$\frac{A{A}_1}{A{A}_2}=15=>\frac{T_2}{T_1}=(\frac{A{A}_1}{A{A}_2}{)}^{-1}=>T_2=300(15{)}^{0\mathrm{.}4}=886\mathrm{.}3(K)$