mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes -
: Isothermal expansion at temperature
so that the volume is doubled from
to
and pressure changes from
to
.
C : Isobaric compression at pressure
to initial volume
.
: Isochoric change leading to change of pressure from
to
.
Total workdone in the complete cycle ABCA is -

Text Solution
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isotheraml process
isobaric process
isochoric process
also, 
work done by gas in the complete cycle ABCA is -

, as isochoric process


Now put the value of
and
in equation, we get



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