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 = =

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 = =

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter4: The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 57P: Two hundred grams of water at 0 is brought into contact with a heat reservoir at 80 . After thermal...

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