https://file.aiquickdraw.com/mathbot/file/1728653062203vqqsws29.jpg

Let's analyze the given problem step by step:

Fiona mixed **10.10 g of compound A** with an unknown amount of compound B, resulting in a total mixture of **5.9 g** after some compound was lost. The task is to determine how much of the recrystallized mixture Fiona would recover after recrystallizing the compounds.

### Solubility Data in Water:
- The table shows solubility in **50 mL of water** at different temperatures for both compounds A and B.
  - **At cold solvent (~5°C)**:
    - Compound A: **0.1 g**
    - Compound B: **1.5 g**
  - **At hot solvent (100°C)**:
    - Compound A: **9.4 g**
    - Compound B: **2.1 g**

### Total solution prepared:
Fiona dissolved **10.10 g of compound A** in **100 mL of water**. However, the total mixture found after her partner added compound B weighs **5.9 g**. Now, let's focus on the recrystallization step to figure out the amount of mixture that Fiona would recover.

### Recrystallization Process:
- **Hot solvent at 100°C** dissolves a significant portion of compound A and some compound B.
  - **Compound A**: At 100°C, **9.4 g** dissolves in **50 mL** of water, meaning in **100 mL** of water, **18.8 g** of compound A would dissolve (but she only has 10.10 g of A).
  - **Compound B**: At 100°C, **2.1 g** dissolves in **50 mL**, meaning in **100 mL**, **4.2 g** would dissolve (but there is only about 5.9 g total mixed material).

- **Cold solvent at ~5°C** recrystallizes the compounds as follows:
  - **Compound A**: At 5°C, **0.1 g** of A dissolves in **50 mL**, so in **100 mL**, **0.2 g** dissolves, and the remaining A recrystallizes.
  - **Compound B**: At 5°C, **1.5 g** dissolves in **50 mL**, so in **100 mL**, **3.0 g** of B dissolves, and the rest stays dissolved.

### Recovery of Compound A:
- At cold temperature (5°C), **0.2 g of compound A** remains dissolved in 100 mL water. Therefore, the recrystallized amount of **compound A** will be:
  - \( 10.10 \, \text{g} - 0.2 \, \text{g} = 9.9 \, \text{g} \)

### Recovery of Compound B:
- At cold temperature (5°C), **3.0 g of compound B** remains dissolved in 100 mL water, which means no significant amount of B will recrystallize.

### Conclusion:
The total amount of recrystallized mixture will mostly consist of **compound A**, and Fiona should recover **9.9 g**, corresponding to option **C**.

Let me know if you need further clarification or additional details!

---

**Related Questions**:
1. What is recrystallization, and why is it useful for purifying compounds?
2. How does solubility vary with temperature in different compounds?
3. Why does compound B not recrystallize as much as compound A in this scenario?
4. What would happen if Fiona used less water in the recrystallization process?
5. Could the solubility of compounds in solvents other than water affect recrystallization efficiency?

**Tip**: Always ensure that the solution is cooled gradually to maximize the recovery of recrystallized compounds.

Fiona prepared a solution by dissolving 10.10 g of compound A in 100 mL distilled water. Her lab partner accidentally added compound B, resulting in a total mixture weighing 5.9 g. How much recrystallized mixture would Fiona recover?

Learn how to calculate the amount of recrystallized mixture Fiona would recover after dissolving 10.10 g of compound A in 100 mL water, mixed with compound B. Using solubility data at different temperatures, this problem illustrates key concepts in recrystallization and solubility. Suitable for high school chemistry students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation