Discussion
The conductivity \((k)\) of a decinormal solution of KCl is 0.012 ohm-1 cm-1 . The resistance of a cell containing this solution was found to be 50 ohm at 298 K. The cell constant value is
Answer: E
The cell constant is 0.6 cm-1.
Conductivity, conductance and cell constant \(G^{*} = \frac{l}{A}\) are related by \(\kappa = \frac{G^{*}}{R}\), so:
\[ \begin{aligned} G^{*} &= \kappa R \\ &= 0.012\ \text{ohm}^{-1}\text{cm}^{-1} \times 50\ \text{ohm} \\ &= 0.6\ \text{cm}^{-1} \end{aligned} \]
Dividing instead of multiplying gives \(0.012/50 = 2.4 \times 10^{-4}\), not offered. 0.02, 0.5, 0.8 and 0.1 cm-1 do not follow from these data.
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