Which equation describes the change in internal energy for an ideal gas?

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Question: Which equation describes the change in internal energy for an ideal gas?

Options:

Correct Answer: ΔU = nC_vΔT

Solution:

For an ideal gas, the change in internal energy (ΔU) is given by ΔU = nC_vΔT, where C_v is the molar heat capacity at constant volume.

Which equation describes the change in internal energy for an ideal gas?

Which equation describes the change in internal energy for an ideal gas?

Step 1: Understand that internal energy (U) is the energy contained within a system, like an ideal gas.
Step 2: Recognize that for an ideal gas, the change in internal energy (ΔU) depends on the amount of gas (n), the heat capacity at constant volume (C_v), and the change in temperature (ΔT).
Step 3: Identify the formula for the change in internal energy: ΔU = nC_vΔT.
Step 4: Note that C_v is a specific value that represents how much energy is needed to change the temperature of one mole of gas at constant volume.

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