Electrochemistry Result Question 13

13. The equivalent conductance of NaCl at concentration $C$ and at infinite dilution are $\lambda_C$ and $\lambda_{\infty}$, respectively. The correct relationship between $\lambda_C$ and $\lambda_{\infty}$ is given as (where, the constant $B$ is positive)

(2014 Main)

(a) $\lambda_C=\lambda_{\infty}+(B) C$

(b) $\lambda_C=\lambda_{\infty}-(B) C$

(c) $\lambda_C=\lambda_{\infty}-(B) \sqrt{C}$

(d) $\lambda_C=\lambda_{\infty}+(B) \sqrt{C}$

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Answer:

Correct Answer: 13. ( c )

Solution:

  1. According to Debye Huckel Onsager equation,

$ \lambda_C=\lambda_{\infty}-B \sqrt{C} $

where, $\lambda_C=$ limiting equivalent conductivity at concentration $C$

$\lambda_{\infty}=$ limiting equivalent conductivity at infinite dilution

$C=$ concentration