On the basis of the general solubility rules given in Table 7.1, predict which of the following substances are not likely to be soluble in water. Indicate which specific rule(s) led to your conclusion.
a. PbS
b. $\mathrm{Mg}(\mathrm{OH})_{2}$
c. $\mathrm{Na}_{2} \mathrm{SO}_{4}$
d. $\left(\mathrm{NH}_{4}\right)_{2} \mathrm{S}$
e. $\mathrm{BaCO}_{3}$
f. $\mathrm{AlPO}_{4}$
g. $\mathrm{PbCl}_{2}$
h. $\mathrm{CaSO}_{4}$