A student compared the solubility of equal amounts of table salt and table sugar at different temperatures. The table below shows the four samples and the temperatures of the water they were dissolved in.

| Sample | Name | Chemical Formula | Temperature (°C) |
|--------|-------------|------------------|------------------|
| 1 | Table sugar | [tex]\(C_{12}H_{22}O_{11}\)[/tex] | 80 |
| 2 | Table sugar | [tex]\(C_{12}H_{22}O_{11}\)[/tex] | 45 |
| 3 | Table salt | [tex]\(NaCl\)[/tex] | 55 |
| 4 | Table salt | [tex]\(NaCl\)[/tex] | 63 |

Which of the samples most likely had the highest solubility?

A. 1
B. 2
C. 3
D. 4



Answer :

To determine which sample most likely had the highest solubility, we need to consider the temperatures at which the substances were dissolved. Generally, solubility increases with temperature, so the sample with the highest temperature is expected to have the highest solubility.

Here's the step-by-step analysis:

1. Identify the temperatures of each sample:
- Sample 1: Table sugar dissolved at 80°C.
- Sample 2: Table sugar dissolved at 45°C.
- Sample 3: Table salt dissolved at 55°C.
- Sample 4: Table salt dissolved at 63°C.

2. Compare the temperatures:
- Sample 1: 80°C
- Sample 2: 45°C
- Sample 3: 55°C
- Sample 4: 63°C

3. Determine the highest temperature:
- Out of 80°C, 45°C, 55°C, and 63°C, the highest temperature is 80°C.

4. Identify the corresponding sample:
- The sample with the highest temperature is Sample 1, which is Table sugar dissolved at 80°C.

Therefore, the sample that most likely had the highest solubility is Sample 1.

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