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Second Law Of Thermodynamics

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An inventor claims a machine that, working in a cycle, absorbs heat from a single reservoir and converts all of it entirely into mechanical work with nothing else changing. Why is this impossible?

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About This Question

Subject
physics
Chapter
thermodynamics
Topic
second law of thermodynamics
Difficulty
Medium
Year
2025
Tags
second lawKelvin-Planck statementsingle reservoirperpetual motionentropy

Solution

Correct Answer:

It violates the Kelvin-Planck statement of the Second Law

The Kelvin-Planck statement of the Second Law declares that no process is possible whose sole result is the complete conversion of heat from a single reservoir into work. A real cyclic engine must always reject some heat to a colder reservoir, so 100 percent conversion in a cycle is forbidden. The proposed machine does not violate the First Law, because energy could still be conserved if heat in equalled work out; conservation alone does not rule it out, which is precisely why a second principle is needed. The Zeroth Law concerns thermal equilibrium and temperature definition, irrelevant here. The absolute-zero reservoir idea confuses this with the requirement for a Carnot engine to reach unit efficiency. The deeper reason is that converting disordered thermal energy fully into ordered work would decrease total entropy, which the Second Law prohibits. Such a hypothetical device is called a perpetual motion machine of the second kind, and its impossibility is logically equivalent to the Clausius statement forbidding spontaneous heat flow from cold to hot. As a consistency check, every working engine ever built rejects waste heat to the environment, empirically confirming that a single-reservoir perfect converter cannot exist no matter how cleverly it is designed.

This medium difficulty physics question is from the chapter thermodynamics, covering the topic of second law of thermodynamics. It appeared in the 2025 exam.

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