The molar conductivity, denoted as $$\wedge_m$$, is calculated using the formula:

$$\wedge_m = \frac{\mathrm{K} \times 1000}{\mathrm{M}}$$

When the volume of the solution is doubled by adding more water at a constant temperature, the conductivity, $$\mathrm{K}$$, will be reduced to half, while the molarity, $$\mathrm{M}$$, will also be halved.

Therefore, the molar conductivity $$\lambda_{\mathrm{m}}$$ will either remain the same or cannot be measured with sharp accuracy.

For an infinitely dilute solution, the molar conductivity $$\wedge_{\mathrm{m}}$$ is approximately equal to the molar conductivity at infinite dilution $$\wedge_{\mathrm{m}}^0$$, which is a constant.