Brian made this table to organize his notes on changes of state.




Change of State
Energy Change

melting
gain

freezing
lose

deposition
gain

condensation
lose






Which change of state has the wrong energy change listed?


Acondensation
Bdeposition
Cmelting
Dfreezing

Verified Answer :

  • Melting is endothermic (gains energy).
  • Freezing is exothermic (loses energy).
  • Condensation is exothermic (loses energy).
  • Deposition is exothermic (loses energy), meaning the table entry 'gain' for deposition is incorrect.

Final Answer: \(\boxed{\text{deposition}}\)

Explanation

  1. Analysis of State Changes and Energy Flow

We examine the energy changes associated with changes of state to evaluate the table provided by Brian.

  • Melting is the phase transition from a solid to a liquid. This process requires the absorption of heat energy, meaning it is an endothermic process where energy is gained.
  • Freezing is the transition from a liquid to a solid. This process releases heat energy to the surroundings, making it an exothermic process where energy is lost.
  • Deposition is the direct phase transition from a gas to a solid. Like freezing and condensation, this process releases heat energy, making it an exothermic process where energy is lost.
  • Condensation is the transition from a gas to a liquid. This process releases heat energy to the surroundings, making it an exothermic process where energy is lost.
  1. Comparison and Error Identification

By comparing our analysis with Brian's table:

  • Melting: gain (Matches our analysis).
  • Freezing: lose (Matches our analysis).
  • Deposition: gain (Contradicts our analysis, which indicates energy is lost).
  • Condensation: lose (Matches our analysis).

The entry for 'deposition' is incorrect because it lists 'gain' instead of 'lose'.

  1. Final Conclusion

Based on our review of the phase transitions, 'deposition' is an exothermic process, meaning it results in an energy loss. Therefore, the label 'gain' in Brian's table is incorrect. The final answer is \(\boxed{\text{deposition}}\).

Examples

Understanding state changes and energy is crucial for many practical applications. For instance, in a refrigerator, the cooling process relies on the evaporation of refrigerant (which gains energy, cooling the interior) and its condensation (which loses energy, releasing heat into the kitchen). Similarly, in winter, frost forming on grass is a perfect example of deposition, where water vapor in the air transitions directly into solid frost crystals, releasing energy in the process. Recognizing whether these processes are endothermic or exothermic helps engineers design efficient cooling and heating systems.