Specific Heat in Adiabatic and Isothermal Processes – Rankers Physics
Topic: Thermal Physics
Subtopic: Thermodynamics

Specific Heat in Adiabatic and Isothermal Processes

Assertion (A): The specific heat of a gas in an adiabatic process is zero but it is infinite in an isothermal process.
Reason (R): Specific heat of a gas is directly proportional to heat exchanged with the system and inversely proportional to change in temperature.
 
(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:

Specific heat \(C = Q/(n\Delta T)\). For adiabatic process, \(Q=0\), so \(C=0\). For isothermal process, \(\Delta T=0\) (with \(Q \ne 0\)), so \(C=\infty\). Both (A) and (R) are true and (R) correctly explains (A) as it defines specific heat.

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