In an isochoric process, the increase in internal energy isa)Equal to ...
For isochoric processes, ΔV = 0, so qV = ΔE i.e, heat given to a system under constant volume is used up in increasing ΔE.
In an isochoric process, the increase in internal energy isa)Equal to ...
Internal Energy in an Isochoric Process
In an isochoric process, also known as an isovolumetric process, the volume of the system remains constant. This means that no work is done by or on the system due to a change in volume. In such a process, the increase in internal energy is equal to the heat absorbed by the system.
Explanation:
Definition of Internal Energy:
Internal energy is the sum of the kinetic and potential energies of all the particles in a system. It is a state function and depends only on the present state of the system, regardless of how the system reached that state.
Isochoric Process:
In an isochoric process, the volume of the system remains constant. This implies that the work done by or on the system (W) is zero, as work is defined as the product of force and displacement in the direction of the force. Since there is no change in volume, there is no displacement, and therefore, no work is done.
First Law of Thermodynamics:
According to the first law of thermodynamics, the change in internal energy (ΔU) of a system is equal to the heat (Q) absorbed by the system minus the work (W) done by the system.
ΔU = Q - W
In an isochoric process, as mentioned earlier, the work done (W) is zero. Therefore, the equation simplifies to:
ΔU = Q
Therefore, the change in internal energy (ΔU) of the system is equal to the heat (Q) absorbed by the system.
Answer:
In an isochoric process, the increase in internal energy is equal to the heat absorbed by the system. Therefore, option 'A' is the correct answer.
Summary:
In an isochoric process, the volume of the system remains constant, resulting in no work done. According to the first law of thermodynamics, the change in internal energy is equal to the heat absorbed by the system. Hence, in an isochoric process, the increase in internal energy is equal to the heat absorbed by the system.