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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.
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Reason : Specific heat of gas is directly proportional to change of heat in system and inversely proportional to change in temperature.
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The correct answer is:
If both assertion and reason are true and reason is the correct explanation of assertion.
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, $\Delta T=0$
$\therefore \quad C=\frac{\Delta Q}{m \Delta T}=\infty$
$\therefore \quad C=\frac{\Delta Q}{m \Delta T}=\infty$
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