First slide

Electrochemical cells

Question

The conductivity of a saturated solution of ${Ag}_{2} C_{2} O_{4}$ is $4 \times 10^{- 5} S c m^{- 1}$ at 25°C. Conductivity of water is $6 \times 10^{- 8} S c m^{- 1}$ . What is the approximate molar conductivity of $C_{2} O_{4}^{2 -}$ ion at infinite dilution, given molar conductivity of Ag+ ions at infinite dilution is $62 S c m^{2} / m o l$ and $K_{sp} ({Ag}_{2} C_{2} O_{4}) = 3 .2 \times 10^{- 11}$

Difficult

A

$138 S c m^{2} / m o l$
B

$127 S c m^{2} / m o l$
C

$76 S c m^{2} / m o l$
D

$200 S c m^{2} / m o l$

Solution

$K_{s p} = 4 S^{3} = 3.2 \times 10^{- 11} \Rightarrow S = 2 \times 10^{- 4}$
$\land^{0} = \frac{χ \times 1000}{s}$
$(2 \times 62 + x) = \frac{4 \times 10^{- 5} \times 1000}{2 \times 10^{- 4}} = 20$
$\Rightarrow x = 76$

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