To determine which change of state has the wrong energy change listed in Brian's table, let's analyze each change of state and its correct associated energy change:
1. Melting: This is the process of changing from a solid to a liquid. During melting, energy is absorbed from the surroundings, so the energy change should be gain. The table lists this correctly.
2. Freezing: This is the process of changing from a liquid to a solid. During freezing, energy is released to the surroundings, so the energy change should be lose. The table lists this correctly.
3. Deposition: This is the process of changing directly from a gas to a solid. During deposition, energy is released to the surroundings, so the energy change should be lose. The table incorrectly lists this as gain.
4. Condensation: This is the process of changing from a gas to a liquid. During condensation, energy is released to the surroundings, so the energy change should be lose. The table lists this correctly.
Based on this analysis, the correct change of state that has the wrong energy change listed is deposition. The table incorrectly lists the energy change for deposition as "gain" when it should be "lose".
Therefore, the correct answer is:
deposition