If the molar conductivity ( ) Λm of a 0.050 mol L–1solution of a monobasic weak acid is 90 S cm2 mol–1,its extent (degree) of dissociation will be

Answer

Degree of Dissociation

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.

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