EDTA is used as a complexing agent in chemical analysis. Solutions of EDTA, usually containing the disodium salt $\mathrm{Na}_{2} \mathrm{H}_{2} \mathrm{EDTA}$ , are also used to treat heavy metal poisoning. The equilibrium constant for the following reaction is $6.7 \times 10^{21} :$
Calculate $\left[\mathrm{Pb}^{2+}\right]$ at equilibrium in a solution originally 0.0050 $\mathrm{M}$ in $\mathrm{Pb}^{2+}, 0.075 M$ in $\mathrm{H}_{2} \mathrm{EDTA}^{2-},$ and buffered at $\mathrm{pH}=7.00 .$