Electrochemistry 2 Question 13
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13. The equivalent conductance of $\mathrm{NaCl}$ 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)
======= ####13. The equivalent conductance of $\mathrm{NaCl}$ 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)
3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed (a) $\lambda_{C}=\lambda_{\infty}+(B) C$
(c) $\lambda_{C}=\lambda_{\infty}-(B) \sqrt{C}$
(b) $\lambda_{C}=\lambda_{\infty}-(B) C$
(d) $\lambda_{C}=\lambda_{\infty}+(B) \sqrt{C}$
(2014 Main)
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Solution:
- According to Debye Huckel Onsager equation,
$$ \lambda_{C}=\lambda_{\infty}-B \sqrt{C} $$
where, $\lambda_{C}=$ limiting equivalent conductivity at concentration $C$
$$ \lambda_{\infty}=\text { limiting equivalent conductivity at infinite dilution } $$
$$ C=\text { concentration } $$
