AgNO_3(a q) was added to an aqueous KCl solution gradually and the...

As $\mathrm{AgNO}_3$ is added to solution, $\mathrm{KCl}$ will be displaced accrding to following reaction \mathrm{AgNO}}_{3}(a q)+ \mathrm{KCl}(a q) \longrightarrow \operatorname{AgCl}(s)+ \mathrm{KNO}}_{3}(a q) For every mole of $\mathrm{KCl}$ displaced from solution, one mole of $\mathrm{KNO}_3$ comes in solution resulting in almost constant conductivity. As the end point is reached, added $\mathrm{AgNO}_3$ remain in solution increasing ionic concentration, hence conductivity increases.