A piece of ice at `0^@C` is added to a vessel containing water at `0^@C`, then

Options

A. all of the ice will melt
B. some ice will melt
C. no ice will melt
D. the temperature will decrease further

Answer

To solve the problem of what happens when a piece of ice at `0°C` is added to a vessel containing water at `0°C`, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Identify the Initial Conditions**:
- We have a piece of ice at `0°C`.
- We have water in a vessel also at `0°C`.

2. **Understand Heat Exchange**:
- Heat exchange occurs when there is a temperature difference between two substances.
- In this case, both the ice and the water are at the same temperature (`0°C`).

3. **Determine the Effect of Temperature**:
- Since the temperature of the ice and the water is the same, there is no driving force for heat transfer.
- Heat will not flow from the water to the ice or vice versa because they are in thermal equilibrium.

4. **Consider the Melting of Ice**:
- Ice requires heat to melt. This process is called latent heat of fusion.
- However, since there is no heat being transferred (due to equal temperatures), the ice will not receive the necessary heat to melt.

5. **Conclusion**:
- Since there is no heat exchange and the temperatures are equal, the ice will not melt.
- Therefore, the correct answer is that **no ice will melt**.

### Final Answer:
No ice will melt.