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.

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.

Tardigrade Admin · Accepted Answer

In adiabatic process, no heat transfer takes place between gas and surrounding i.e.,

Δ

Q = 0
From definition of specific heat, C =

\frac{Δ Q}{m Δ T} = 0

Again, for isothermal process,

Δ

T = 0

∴ C = \frac{Δ Q}{m Δ T} = \infty

Q. 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.

If both assertion and reason are true and reason is the correct explanation of assertion.

If both assertion and reason are true but reason is not the correct explanation of assertion.

If assertion is true but reason is false.

If both assertion and reason are false.

In adiabatic process, no heat transfer takes place between gas and surrounding i.e., ΔQ = 0 From definition of specific heat, C =mΔTΔQ​=0 Again, for isothermal process, ΔT = 0 ∴C=mΔTΔQ​=∞

Q. 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.

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