An isochoric process is a thermodynamic process in which the volume of the system remains constant. In this process, no work is done by the system, and all the heat supplied goes into changing the internal energy and temperature of the system. This means that the entire heat supplied contributes to raising the temperature of the system. Hence, the process in which the amount of heat supplied goes fully to change its internal energy and temperature is called an isochoric process.
The correct option is (E) : isochoric process
In thermodynamics, when all the heat supplied to a system goes into changing its internal energy and temperature, it means that no work is done by the system.
This happens in an isochoric process, where the volume remains constant. Since:
$$ W = P \Delta V $$
and \( \Delta V = 0 \), we have \( W = 0 \).
Therefore, from the first law of thermodynamics: $$ Q = \Delta U + W \Rightarrow Q = \Delta U $$
So, the heat supplied changes only the internal energy and temperature.
Correct answer: isochoric process