Question

Use Equation 7-12 to reproduce the curves in Figure 7-3. Plot your results on a single graph.

Short answer

The graph of the silver halide titration curve:

Step-by-step solution

Concept used. 

The equation for titration curve of ${\mathrm{M}}^{+}$with $X^{-}$is

${\mathrm{V}}_{\mathrm{M}}={{\mathrm{V}}_{\mathrm{X}}}^{°}\left(\frac{{{\mathrm{C}}_{\mathrm{x}}}^{°}+[{\mathrm{M}}^{+}\mathrm{l}-[{\mathrm{X}}^{-}]}{{\mathrm{C}}_{\mathrm{M}}-\left[{\mathrm{M}}^{+}\right]-[{\mathrm{X}}^{-}\mathrm{l}}\right)$

${\mathrm{C}}_{\mathrm{M}}\mathrm{i}$is initial concentration of $M^{+}$

$$\begin{gathered} {\mathrm{C}}_{\mathrm{x}}\mathrm{is}\mathrm{concentration}\mathrm{of}{\mathrm{X}}^{-} \\ {\mathrm{V}}_{\mathrm{x}}\mathrm{is}\mathrm{volume}\mathrm{of}{\mathrm{X}}^{-} \end{gathered}$$

Plot the graph

The graph of a silver halide titration curve.

The spreadsheet for the silver iodide titration curve is as follows:

The graph of the silver halide titration curve looks like this:

As the solubility product of halides declines, so does the solubility of halides. Silver iodide has the steepest slope, indicating that it is least soluble. Because is dependent on the concentration of silver ions, the values rise as the solubility product decreases.