
Answer
Degree of Dissociation (α) for Weak Electrolytes
For weak electrolytes, the degree of dissociation (α) is calculated using the formula:
α = Λm / Λ0m
Where:
- Λm: Observed molar conductivity at given concentration
- Λ0m: Limiting molar conductivity (at infinite dilution)
Limiting Molar Conductivity
For a monobasic acid:
Λ0m = Λ0+ + Λ0−
Given:
- Λ0+ = 349.6 S·cm²·mol⁻¹ (for H⁺)
- Λ0− = 50.4 S·cm²·mol⁻¹ (for A⁻)
Total:
Λ0m = 349.6 + 50.4 = 400.0 S·cm²·mol⁻¹
Observed Molar Conductivity
At concentration 0.050 M:
Λm = 90 S·cm²·mol⁻¹
Calculation of Degree of Dissociation
α = 90 / 400 = 0.225
Therefore, the degree of dissociation (α) is 0.225.
