JEE Challenger
More from Thermodynamics

Natural Asymmetry Between Heat and Work Conversion

STATEMENT-1 : There is a natural asymmetry between converting work to heat and converting heat to work.

and

STATEMENT-2 : No process is possible in which the sole result is the absorption of heat from a reservoir and its complete conversion into work.

Options

A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

Correct
B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1

C

STATEMENT-1 is True, STATEMENT-2 is False

D

STATEMENT-1 is False, STATEMENT-2 is True

Step-by-Step Solution

To analyze the given statements:

  1. Analysis of STATEMENT-1:
    Work can be completely converted into heat in a continuous or cyclical process without leaving any other change in the system or surroundings (for instance, through mechanical friction or Joule heating, where W→QW \to Q with 100%100\% efficiency).
    Conversely, heat cannot be completely converted into work in a cyclic process without rejecting a fraction of that heat to a colder reservoir. This fundamental directionality introduces an inherent, natural asymmetry between the interconversion of heat and work.
    Therefore, STATEMENT-1 is True.

  2. Analysis of STATEMENT-2:
    According to the Kelvin-Planck statement of the Second Law of Thermodynamics:
    "It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work."\text{"It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work."}
    In other words, no thermodynamic process is possible whose sole result is the absorption of heat from a single thermal reservoir and its complete conversion into equivalent work.
    Therefore, STATEMENT-2 is True.

  3. Explanation Relation:
    The exact reason why work and heat conversion is asymmetric is governed by the Second Law of Thermodynamics. While 100%100\% of work can be dissipated entirely into heat, the complete conversion of heat into work without any other simultaneous change (such as heat rejection to a sink or entropy increase elsewhere) is strictly forbidden by the Kelvin-Planck statement. Thus, STATEMENT-2 directly explains the natural asymmetry described in STATEMENT-1.

Hence, STATEMENT-1 is True, STATEMENT-2 is True, and STATEMENT-2 is a correct explanation for STATEMENT-1.

Correct Option: (A)