$(5$ pt$)$ Solid aluminum phosphate $(AlP{O}_4)$ is in equilibrium with its ions in solution:

$AlP{O}_{4}harrA{l}^{3+}+P{O}_4^{3-},$ with $K_{sp}={10}^{-22}$

Find the equilibrium concentration of phosphate ions $($in $m\frac{g}{L}).$

$(10$ pt$)$ Calculate the equilibrium concentration of dissolved oxygen in water $($in $m\frac{g}{L})$:

$($a$)(5$ pt$)$ at $15C$ and $1$ atm $($i$.$e$.,$ sea level$)$

$($b$)(5$ pt$)$ at $15C$ and $2,000m$ elevation

$(5$ pt$)$ Suppose the gas above the soda in a bottle of soft drink is pure $C{O}_2$ at a pressure of $2$ atm. Calculate $C{O}_2$ concentration $($in $\frac{g}{L})$ in the aqueous phase $($i$.$e$.,$ the soda$)$ at $25C.$

$(8$ pt$)$ A sample of groundwater has $150m\frac{g}{L}$ of $C{a}^{2+}$ and $60m\frac{g}{L^2}M{g}^{2+}.$ Find the total hardness expressed in milliequivalents per liter $($meq$/L)$ and $m\frac{g}{L}$ as $CaC{O}_3.$ How would this water be classified $($e$.$g$.,$ soft, hard, etc.$)?$

$($a$)(7$ pt$)$ Ignoring the contribution of $H^{+}$and $O{H}^{-}$to alkalinity, what is the alkalinity as $m\frac{g}{L}$ of $CaC{O}_3?$

$($b$)(7$ pt$)$ Including the contribution of $H^{+}$and $O{H}^{-},$ find the alkalinity as $m\frac{g}{L}$ of $CaC{O}_3.$

$(18$ pt$)$ A chemical analysis of a surface water yields the following data:

$\backslash$table$[[$Ion$,$Concentration $($mg$/$L$)],[C{a}^{2+},90],[M{g}^{2+},30],[N{a}^{+},72],[K^{+},6],[C{l}^{-},120],[S{O}_4^{2-},225],[HC{O}_3^{-},165],[p{H}^2,7\mathrm{.}5]]$

$($a$)(4$ pt$)$ Determine the alkalinity expressed as $CaC{O}_3($in $m\frac{g}{L})$

$($b$)(4$ pt$)$ Determine the hardness as $CaC{O}_3($in $m\frac{g}{L}).$

$($c$)(10$ pt$)$ The $C{l}^{-}$concentration in the water analysis has been questioned. What concentration of $C{l}^{-}(m\frac{g}{L})$ would make the cations and anions balance?