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

Practice Questions

Q1
Which equation describes the change in internal energy for an ideal gas?
  1. ΔU = Q + W
  2. ΔU = nC_vΔT
  3. ΔU = nRT
  4. ΔU = PV

Questions & Step-by-Step Solutions

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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