Question

Assertion: The specific heat of a gas is found to be an adiabatic process which will be zero and in an isothermal process, this is infinite.
Reason: Specific heat of gas is directly proportional to the variation of heat in the system and inversely proportional to change in temperature.
A. statement 1 is found to be false, statement 2 is found to be true.
B. statement 1 and statement 2 is true. Even though statement 2 is the correct explanation for statement 1.
C. Statement 1 is true and statement 2 is true and statement 2 is not a correct explanation for statement 1.
D. statement 1 is true and the statement 2 will be false.

Answer 1

In the adiabatic process, there will be no transfer of heat which is taking place between the gas and the surrounding. From the definition of the specific heat we can find it by taking the ratio of the change in the charge to the product of the mass and the change in temperature. This will be equivalent to zero. This will be helpful in answering this question.

Complete step by step answer:
In the adiabatic process, there will be no transfer of heat which is taking place between the gas and the surrounding. This can be written as an equation given as,
$\Delta Q=0$
From the definition of the specific heat we can find it by taking the ratio of the change in the charge to the product of the mass and the change in temperature. This will be equivalent to zero. This can be written as an equation given as,
$C=\dfrac{\Delta Q}{m\Delta T}=0$
Again in the case of an isothermal process, we can write that,
$\Delta T=0$
Substituting this value in the equation which can be written as,
$\therefore C=\dfrac{\Delta Q}{m\Delta T}=\dfrac{\Delta Q}{m\times 0}=\infty$
Therefore the specific heat capacity will be infinity. Therefore statement 1 is true as well as statement 2 will also be true. The statement 2 will be the correct explanation for the statement 1.

So, the correct answer is “Option A”.

Note: An adiabatic process can be defined as a kind of thermodynamic process which will be happening without any transfer of heat or mass between the system and its surroundings. Not like an isothermal process, the adiabatic process will be transferring the energy to the surroundings only as work.