A thermal machine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It receives 1.00 kJ of energy from the high-temperature reservoir and performs 250 J of work. Find a. the entropy change of the universe ∆SU for this process. b. The work W that can be performed by an ideal Carnot engine operating between these two reservoirs (and receiving the same 1.00 kJ from the high temperature reservoir). c. Show that the difference between the amounts of work done in parts (a) and (b) is T1∆SU . Comment: See that the quantity T1∆SU is an amount of energy unavailable to do work in the second part of the experiment. This is an amount of energy unavailable to perform work in the process that is irreversible!

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter18: Heat Engines, Entropy, And The Second Law Of Thermodynamics
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A thermal machine operates between two reservoirs at T2 = 600 K and T1 = 350 K. It receives
1.00 kJ of energy from the high-temperature reservoir and performs 250 J of work. Find
a. the entropy change of the universe ∆SU for this process.
b. The work W that can be performed by an ideal Carnot engine operating between these two
reservoirs (and receiving the same 1.00 kJ from the high temperature reservoir).
c. Show that the difference between the amounts of work done in parts (a) and (b) is
T1∆SU .
Comment: See that the quantity T1∆SU is an amount of energy unavailable to do work in the second part of the experiment.
This is an amount of energy unavailable to perform work in the process that is irreversible!

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