Thermodynamics: Practice Problem & Solution
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.
Solution Explained:
To solve this problem, we apply the core principles of Thermodynamics. Understanding the underlying formula is key to arriving at the correct answer below:
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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