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### **7.1.1 Define the term *hydrolysis* of a salt. (2)**
**Answer:**
*Hydrolysis of a salt* is the reaction of the ions of a dissolved salt with water to produce either acidic or basic solutions. It occurs when the salt is formed from a weak acid or a weak base (or both).
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### **7.1.2 Will the pH of the solution be GREATER THAN, SMALLER THAN or EQUAL TO 7? Write a relevant equation to support your answer. (3)**
**Explanation:**
- Ammonium chloride (**NH₄Cl**) is a salt of a *weak base* (NH₃) and a *strong acid* (HCl).
- When dissolved in water, it dissociates into NH₄⁺ and Cl⁻.
- **NH₄⁺** (ammonium ion) acts as a weak acid and hydrolyzes in water:
\[
\mathrm{NH_4^+ (aq) + H_2O(l) \rightarrow NH_3(aq) + H_3O^+(aq)}
\]
- This produces hydronium ions (H₃O⁺), making the solution acidic.
**Answer:**
The pH will be **smaller than 7** because the solution is acidic.
---
### **7.2.1 Calculate the number of moles of H₂SO₄ present in this solution. (2)**
Given:
- Mass of H₂SO₄ = 7.35 g
- Volume of solution = 500 cm³ = 0.5 L
- Molar mass of H₂SO₄ = 2(1) + 32 + 4(16) = 2 + 32 + 64 = **98 g/mol**
\[
\text{Number of moles} = \frac{\text{Mass}}{\text{Molar mass}}
\]
\[
\text{Number of moles of H}_2\text{SO}_4 = \frac{7.35}{98} = 0.075 \text{ moles}
\]
---
### **7.2.2 Calculate the mass of NaOH added to the H₂SO₄ solution. Assume that the volume of the solution does not change. (9)**
#### **Step 1: Calculate [H₃O⁺] after reaction**
Given pH = 1.3
\[
\text{pH} = -\log[\text{H}_3\text{O}^+]
\]
\[
[\text{H}_3\text{O}^+] = 10^{-\text{pH}} = 10^{-1.3} \approx 0.0501\ \text{mol/L}
\]
Total volume = 0.5 L
\[
\text{Moles of H}_3\text{O}^+ = 0.0501 \times 0.5 = 0.02505\ \text{mol}
\]
#### **Step 2: Initial moles of H₂SO₄**
Already calculated: 0.075 mol
#### **Step 3: Reaction between H₂SO₄ and NaOH**
\[
\text{H}_2\text{SO}_4 + 2\text{NaOH} \rightarrow \text{Na}_2\text{SO}_4 + 2 \text{H}_2\text{O}
\]
Each mole of H₂SO₄ reacts with 2 moles of NaOH.
#### **Step 4: Moles of H₂SO₄ left after reaction**
After addition of NaOH, some H₂SO₄ remains (because the final solution is still acidic).
Let \( x \) = moles of H₂SO₄ left after reaction = moles of H₃O⁺ = 0.02505 mol
So, moles of H₂SO₄ that reacted = initial - remaining = 0.075 - 0.02505 = **0.04995 mol**
#### **Step 5: Moles of NaOH that reacted**
From the balanced equation, 1 mol H₂SO₄ reacts with 2 mol NaOH:
\[
\text{Moles of NaOH} = 2 \times \text{Moles of H}_2\text{SO}_4 \text{ that reacted}
\]
\[
= 2 \times 0.04995 = 0.0999 \text{ mol}
\]
#### **Step 6: Mass of NaOH added**
Molar mass of NaOH = 23 + 16 + 1 = 40 g/mol
\[
\text{Mass of NaOH} = 0.0999 \times 40 = 3.996 \text{ g} \approx 4.00 \text{ g}
\]
---
## **Final Answers**
### **7.1.1**
Hydrolysis of a salt is the reaction of the ions of a dissolved salt with water to produce acidic or basic solutions.
### **7.1.2**
The pH will be **smaller than 7**. Relevant equation:
\[
\mathrm{NH_4^+ (aq) + H_2O(l) \rightarrow NH_3(aq) + H_3O^+(aq)}
\]
### **7.2.1**
Number of moles of H₂SO₄ in solution = **0.075 mol**
### **7.2.2**
Mass of NaOH added = **4.00 g**
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