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Second Law Of Thermodynamics

Mediumphysics

A student claims to have built an engine that takes heat from a single reservoir and converts all of it completely into work each cycle, so which statement correctly evaluates this claim?

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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 reservoirheat rejection requirementimpossible engine

Solution

Correct Answer:

It is impossible because it violates the Kelvin-Planck statement of the second law

Grounded in NCERT Class 11, Chapter 12 (Thermodynamics), the Second Law of Thermodynamics places a fundamental restriction that goes beyond mere energy conservation expressed by the first law. The Kelvin-Planck statement asserts that no process is possible whose sole result is the absorption of heat from a single reservoir and its complete conversion into work. A cyclic engine must always reject some heat to a colder reservoir to return to its starting state, so a single-reservoir engine achieving 100 percent conversion is forbidden in principle. The option that the first law permits it is misleading: the first law only requires an energy balance and does not by itself forbid full conversion, but the second law explicitly does. The option about a very large reservoir is wrong because reservoir size does not lift the second-law prohibition; the obstacle is the impossibility of zero heat rejection in a cycle, regardless of how big the reservoir is. The option about perfect insulation is wrong because a truly adiabatic engine cannot draw heat from a reservoir to run a continuous cycle at all. A consistency check seals the conclusion: such a device would have efficiency exactly 1, yet any real cyclic engine has , confirming that the student's claim violates well-established physics.

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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