Molar Specific Heats of Ideal Gas – Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

Molar Specific Heats of Ideal Gas

Assertion (A): An ideal gas has infinitely many molar specific heats.
Reason (R): Specific heat is amount of heat needed to raise the temperature of \(1\) mole of gas by \(1K\).
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true. An ideal gas can undergo various thermodynamic processes (isobaric, isochoric, adiabatic, polytropic, etc.), each associated with a unique specific heat capacity.


Reason (R) is true; it is the definition of molar specific heat. However, the definition does not explain *why* there are infinitely many such values; this stems from the different possible thermodynamic paths.

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