The solution is already infinitely dilute, meaning the molar conductivity is at its maximum value. Adding more water will not dilute the solution further; therefore, there will be no change in molar conductivity. It will remain the same.
\[\text{Molar conductivity } (\Lambda_m) \propto \frac{\kappa}{c}\]
where $\kappa$ is the conductivity and $c$ is the concentration. For infinitely dilute solutions, $c$ is already approaching zero, and $\Lambda_m$ becomes constant.
Concentration of KCl solution (mol/L) | Conductivity at 298.15 K (S cm-1) | Molar Conductivity at 298.15 K (S cm2 mol-1) |
---|---|---|
1.000 | 0.1113 | 111.3 |
0.100 | 0.0129 | 129.0 |
0.010 | 0.00141 | 141.0 |
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: