Step 1: Nature of species during titration.
A strong acid initially provides a high concentration of H$^+$ ions, giving high conductance. When a weak base is added, H$^+$ neutralizes to form the weak conjugate acid of the weak base, lowering conductance because the weak conjugate acid ionizes poorly.
Step 2: Change in conductance with added base.
Before the equivalence point, conductance drops sharply because highly mobile H$^+$ is removed. After the equivalence point, excess weak base (which ionizes partially) increases conductance only slightly—much less than a strong base would.
Step 3: Identifying the curve.
Thus, the correct graph must show:
– A steep fall initially (due to loss of H$^+$).
– A slow rise after equivalence (weak base contributes ions slowly).
Graph (C) shows this exact pattern.