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Heat Engines

A cycle follo...

Question

A cycle followed by an engine (made of one mole of perfect gas in a cylinder with a piston) is shown in Figure.
$A$ to $B$ : volume constant
$B$ to $C$ : adiabatic
$C$ to $D$ : volume constant
$D$ to $A$ : adiabatic
$V_{C} = V_{D} = 2 V_{A} = 2 V_{B}$
In which part of the cycle heat is being given to the surrounding by the engine?

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Solution

Heat is given out by the system in part $C D$ . (inverse of $A B$ ).

In part $C D, d V = 0$ , pressure decreases so temperature also decreases $(P \propto T)$ i.e. energy given out by the system to surrounding.

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