Since the conductivity of a solution changes linearly with the electrolyte concentration, during a conductometric titration the volume increases with each addition of the titrant aliquot. For this reason, each $\chi$ value should be corrected for the dilution effect. Which of these two is the correct formula?
$$\begin{equation}\tag{1} \chi_{\text{eff}} = \chi_{\text{read}} \cdot \dfrac{V_i + V}{V_i} \end{equation}$$
or
$$\begin{equation}\tag{2} \chi_{\text{eff}} = \chi_{\text{read}} \cdot \dfrac{V_i}{V_i + V} \end{equation}$$
where
- $\chi_{\text{eff}}$ = the effective value of $\chi$
- $\chi_{\text{read}}$ = the value of $\chi$ read by the device
- $V_i$ = the initial volume of the solution
- $V$ = the volume of titran reagent added