A
Carnot engine works between temperatures
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Solution: Click For PDF Version Let W be the amount of wok which becomes available per cycle of the Carnot engine operating between temperatures
and
 .
Let
be the amount of heat absorbed by the engine from the heat reservoir
at temperature
.
From the second law of thermodynamics, we have
and therefore the amount of work output of the engine that can be used for running the refrigerator will be
From the
second law of thermodynamics we get for the amount of heat extracted
by the Carnot refrigerator from the heat reservoir at temperature
and
But
Therefore,
And we get
By rearranging the above expression, we get
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and
.
We have to find the ratio
in terms of the four temperatures.
,
the work delivered by the Carnot engine to the Carnot refrigerator
per cycle.
