The melting point of a substance was quoted as `52.5^(@)C`, `52.57^(@)C, 52.571^(@)C`, and `52.5713^(@)C`. Which of these values would be most acceptable and which will have maximum uncertanity?

Options

A. `52.5^(@)C`
B. `52.57^(@)C`
C. `52.571^(@)C`
D. `52.5713^(@)C`

Explanation

To determine which melting point value is most acceptable and which has the maximum uncertainty, we will analyze the given values based on their precision and the number of decimal places they contain.

### Step-by-Step Solution:

1. **List the Given Values**:
The melting point values provided are:
- 52.5°C
- 52.57°C
- 52.571°C
- 52.5713°C

2. **Identify the Number of Decimal Places**:
- 52.5°C has 1 decimal place.
- 52.57°C has 2 decimal places.
- 52.571°C has 3 decimal places.
- 52.5713°C has 4 decimal places.

3. **Determine the Most Acceptable Value**:
According to the rules of significant figures, the most acceptable value is typically the one with the most precision while still being reasonable for reporting. In this case, the value with 2 decimal places (52.57°C) is generally considered acceptable for reporting melting points in a scientific context.

4. **Determine the Value with Maximum Uncertainty**:
The value with the maximum uncertainty is the one with the least number of decimal places. Since 52.5°C has only 1 decimal place, it is the value that carries the most uncertainty.

5. **Final Conclusion**:
- The most acceptable value is **52.57°C**.
- The value with maximum uncertainty is **52.5°C**.

### Summary:
- Most Acceptable Value: **52.57°C**
- Maximum Uncertainty Value: **52.5°C**