(a) The molar conductivities at infinite dilution of potassium chloride, hydrochloric acid and potassium acetate are 130.1, 379.4 and 95.6 S `cm^(2)mol^(-1)` respectively. Calculate the value of molar conductivity at infinite dilution for acetic acid.
(b) If the molar conductivity of given acetic acid solution is 48.5 S `cm^(2)mol^(-1)` at `25^(@)C`, calculate the degree of dissociation of acetic for acetic acid.

Explanation

To solve the given problem, we will follow these steps:

### Part (a): Calculate the molar conductivity at infinite dilution for acetic acid.

1. **Identify the known values**:
- Molar conductivity at infinite dilution of KCl (Λ°(KCl)) = 130.1 S cm² mol⁻¹
- Molar conductivity at infinite dilution of HCl (Λ°(HCl)) = 379.4 S cm² mol⁻¹
- Molar conductivity at infinite dilution of KAc (Λ°(KAc)) = 95.6 S cm² mol⁻¹

2. **Write the expression for the molar conductivity of acetic acid (CH₃COOH)**:
The molar conductivity at infinite dilution of a weak acid (like acetic acid) can be calculated using the following relationship:
\[ \Lambda°(CH₃COOH) = \Lambda°(HCl) + \Lambda°(KAc) - \Lambda°(KCl) \]

3. **Substitute the known values into the equation**:
\[ \Lambda°(CH₃COOH) = 379.4 + 95.6 - 130.1 \]

4. **Calculate the value**:
\[ \Lambda°(CH₃COOH) = 379.4 + 95.6 - 130.1 = 345.0 \, \text{S cm}^2 \text{mol}^{-1} \]

### Part (b): Calculate the degree of dissociation of acetic acid.

1. **Identify the known values**:
- Molar conductivity of acetic acid solution (Λ) = 48.5 S cm² mol⁻¹
- Molar conductivity at infinite dilution of acetic acid (Λ°(CH₃COOH)) = 345.0 S cm² mol⁻¹ (calculated in part a)

2. **Use the formula for degree of dissociation (α)**:
The degree of dissociation (α) can be calculated using the formula:
\[ \alpha = \frac{\Lambda}{\Lambda°(CH₃COOH)} \]

3. **Substitute the known values into the equation**:
\[ \alpha = \frac{48.5}{345.0} \]

4. **Calculate the value**:
\[ \alpha = 0.1401 \, \text{or} \, 14.01\% \]

### Final Answers:
(a) The molar conductivity at infinite dilution for acetic acid is **345.0 S cm² mol⁻¹**.
(b) The degree of dissociation of acetic acid is **14.01%**.