Two bodies, initially at temperatures Th (hot) and T. (cold) have identical heat capacities given by C = AT in which T is the thermodynamic temperature and A is a constant. They are used as the high and low temperature source and sink for a reversible heat engine. Show that the final temperature they attain is Tc+ Th 2 and hence show that the maximum output of work that can be extracted from this engine is A(Th-Tc)² 4 Tf W = =

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Two bodies, initially at temperatures Th (hot) and Tc (cold) have identical heat capacities
given by C = AT in which T is the thermodynamic temperature and A is a constant. They
are used as the high and low temperature source and sink for a reversible heat engine. Show
that the final temperature they attain is
Tf
=
W =
Tc+ Th
and hence show that the maximum output of work that can be extracted from this engine is
A(Th-Tc)²
4
Transcribed Image Text:Two bodies, initially at temperatures Th (hot) and Tc (cold) have identical heat capacities given by C = AT in which T is the thermodynamic temperature and A is a constant. They are used as the high and low temperature source and sink for a reversible heat engine. Show that the final temperature they attain is Tf = W = Tc+ Th and hence show that the maximum output of work that can be extracted from this engine is A(Th-Tc)² 4
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