Molar Heat Capacity – Rankers Physics
Topic: Thermal Physics
Subtopic: Kinetic Theory of Gases

Molar Heat Capacity

Assertion (A): Molar heat capacity of a gas in any process can have any value ( -infty ) to ( +infty ).
Reason (R): Molar heat capacity of a gas in an isothermal process is ( infty ).
 
(1) Both (A) & (R) are true and the (R) is the correct explanation of the (A)
(2) Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are false

Solution:

Concept: Molar heat capacity \( C = \frac{dQ}{dT} \). For an isothermal process, ( dT = 0 ), so ( C = infty ). For an adiabatic process, ( dQ = 0 ), so ( C = 0 ). Thus, molar heat capacity can range from ( -infty ) to ( +infty ). Both (A) and (R) are true, and (R) explains (A).

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