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प्रश्न
Calculate the degree of dissociation (α) of acetic acid if its molar conductivity (Λm) is 39.05 S cm2 mol−1.
Given λ°(H+) = 349.6 S cm2 mol−1 and λ°(CH3COO−) = 40.9 S cm2 mol−1
उत्तर
The degree of dissociation of a weak electrolyte is given by the following relation
α = Λm / Λ0 ... Equation (1)
where α is the degree of dissociation of the electrolyte, Λm is the molar conductivity and Λ0 is the molar conductivity at infinite dilution.
We are given that the ionic molar conductivity at infinite dilution of acetate and hydrogen ions are 349.8 and 40.9 S cm2 mol-1 respectively. Hence the limiting molar conductivity of acetic acid would be written as:
Λ0acetic acid = λ0(H+) + λ0(CH3COO-)
= 40.9 + 349.8
= 390.7 cm2 mol-1
Now, since we are given that the molar conductivity of acetic acid is Λm = 39.05 S cm2 mol-1
Therefore, substituting the values in equation (1), we get:
Degree of dissociation of acetic acid = α = Λm/ Λ0 = `39.05/390.7 = 0.0999 " ≅ " 0.1`
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