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Do you expect \(\Delta S\) to be positive or negative for the freezing of water? Explain your reasoning.

Short Answer

Expert verified
The entropy (\( \Delta S \)) for the freezing of water would be negative, indicating the system is becoming more ordered.

Step by step solution

01

Understand Changes in Entropy

Entropy (\( \Delta S \)) is a measure of the disorder of a system. A positive \( \Delta S \) means an increase in disorder, while a negative \( \Delta S \) means a decrease in disorder.
02

Understand the Context

The context here involves the change from liquid water to solid ice, which is a phase transition.
03

Apply Knowledge of Entropy and Phase Transitions

Generally, the solid phase of a substance (such as ice) is less disordered than its liquid phase (like water). Therefore, when water freezes and becomes ice, the system becomes more ordered.
04

Reach a Conclusion

Since the system goes from a more disordered state (liquid water) to a less disordered state (solid ice), the entropy (\( \Delta S \)) decreases. Thus, \( \Delta S \) should be negative.

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