What is the change in internal energy for an ideal gas during an isochoric process?

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Q: What is the change in internal energy for an ideal gas during an isochoric process?

Solution: In an isochoric process, the change in internal energy is equal to the heat added to the system, ΔU = Q.

Steps: 6

Step 1: Understand what an isochoric process is. An isochoric process is a process that occurs at constant volume, meaning the gas does not expand or contract.
Step 2: Recall the definition of internal energy. Internal energy is the total energy contained within a system due to the kinetic and potential energy of its particles.
Step 3: Know that during an isochoric process, the volume of the gas does not change, so no work is done on or by the gas.
Step 4: Remember the first law of thermodynamics, which states that the change in internal energy (ΔU) is equal to the heat added to the system (Q) minus the work done by the system (W).
Step 5: Since no work is done in an isochoric process (W = 0), the equation simplifies to ΔU = Q.
Step 6: Conclude that in an isochoric process, the change in internal energy is equal to the heat added to the system.