The equivalent conductance of NaCl at concentration C and at infinite dilution are λC and λ, respectively. The correct relationship between λC and λ∞ is given as (where the constant B is positive)

Engineering

Chemistry

Electrolytic Conductance

Question

The equivalent conductance of NaCl at concentration C and at infinite dilution are λ_C and λ_$\infty$, respectively. The correct relationship between λ_C and λ_∞ is given as (where the constant B is positive)

$λ_{C} = λ_{\infty} + (B) C$

$λ_{C} = λ_{\infty} - (B) \sqrt{C}$

$λ_{C} = λ_{\infty} + (B) \sqrt{C}$

λ_C = λ_∞ – (B) C

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Equivalent conductance (Λ) decreases with increasing concentration for strong electrolytes due to inter-ionic attraction. This is described by Kohlrausch's law:

$Λ_{c} = Λ_{0} - B \sqrt{c}$

where Λ_c is conductance at concentration c, Λ₀ is at infinite dilution, and B is a positive constant. The square root dependence is key.

Final Answer: $Λ_{c} = Λ_{0} - B \sqrt{c}$