Chapter 13, Problem 13.41PAE

Use the standard reduction potentials for the reactions:

$\text{AgCl}\left(\text{s}\right)+{\text{e}}^{-}\to \text{Ag}\left(\text{s}\right)+{\text{Cl}}^{\text{-}}\left(\text{aq}\right)$ and ${\text{Ag}}^{+}\left(\text{aq}\right)+{\text{e}}^{-}\to \text{Ag}\left(\text{s}\right)$

to calculate the value of $K_{\text{sp}}$ for silver chloride at 298 K.

How does your answer compare with the value listed in Table 12.4?

Table 12.4 $K_{\text{sp}}$ values

Values for a few compounds illustrate the wide range over which solubility product constants can vary.
Salt	$K_{\text{sp}}$
${\text{Ag}}_{\text{2}}{\text{CO}}_{\text{3}}$	$\text{8}{\text{.1×10}}^{-12}$
${\text{Ag}}_{\text{3}}{\text{PO}}_{\text{4}}$	$\text{1}{\text{.3×10}}^{-20}$
$\text{AgBr}$	$\text{5}{\text{.3×10}}^{-13}$
$\text{AgCl}$	$\text{1}{\text{.8×10}}^{-10}$
$\text{AgCN}$	$\text{6}{\text{.0×10}}^{-17}$
${\text{Ca}}_3{\left({\text{PO}}_{\text{4}}\right)}_2$	$\text{2}{\text{.0×10}}^{-33}$
${\text{CaCO}}_3$	$\text{4}{\text{.8×10}}^{-9}$
${\text{FeCO}}_3$	$\text{3}{\text{.5×10}}^{-11}$
${\text{Mg}}_3{\left({\text{PO}}_4\right)}_2$	$\text{9}{\text{.9×10}}^{-25}$
${\text{PbCO}}_3$	$\text{1}{\text{.5×10}}^{-13}$
$\text{PtS}$	$\text{9}{\text{.9×10}}^{-74}$
$\text{Zns}$	$\text{1}{\text{.1×10}}^{-21}$