Question

Assertion : The specific heat of a gas in an adiabatic process is zero and in an isothermal process is infinite.
Reason : Specific heat of gas is directly proportional to change of heat in system and inversely proportional to change in temperature.

• A. If both assertion and reason are true and reason is the correct explanation of assertion.
• B. If both assertion and reason are true but reason is not the correct explanation of assertion.
• C. If assertion is true but reason is false.
• D. If both assertion and reason are false.

Answer 1

Answer: (A)

In adiabatic process, no heat transfer takes place between gas and surrounding i.e., $\Delta$Q = 0
From definition of specific heat, C =$\frac{\Delta Q}{m\Delta T}=0$ Again, for isothermal process, $\Delta$T = 0
$\therefore \quad C=\frac{\Delta Q}{m\Delta T}=\infty$