- #1
Saitama
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Homework Statement
(see attachment, ignore the arrows made with the pen)
Homework Equations
The Attempt at a Solution
Efficiency of a cycle is defined as ##\eta=\frac{W}{Q}## where W is work done and Q is heat input.
W can be easily calculated by finding the area enclosed within the loop shown in the graph which is equal to ##(P-P_o)V_o##.
Heat input occurs only in the processes, B->A (##Q_1##) and B->C (##Q_2##).
##Q_1=nC_v\Delta T_1## where ##\Delta T_1=\frac{V_o}{nR}(P_o-P)##
##\Rightarrow Q_1=\frac{C_vV_o}{R}(P_o-P)##
##Q_2=nC_p\Delta T_2## and ##\Delta T_2=\frac{P_oV_o}{nR}##
##\Rightarrow Q_2=\frac{C_pP_oV_o}{R}##
[tex]\eta=\frac{W}{Q_1+Q_2}=\cfrac{(P_o-P)V_o}{\cfrac{C_vV_o}{R}(P_o-P)+\cfrac{C_pP_oV_o}{R}}[/tex]
I don't have ##C_p## and ##C_v##, how am I supposed to solve this?
Any help is appreciated. Thanks!