$-$ A solution containing $1\mathrm{.}642$ g of aluminum nitrate was mixed with a solution containing $1\mathrm{.}837$ g of sodium carbonate resulting in two products, one of which forms a precipitate while the other remains in solution.

a$.$ Complete and balance the metathesis reaction that occurs

b$.$ Identify the limiting reactant and then calculate the maximum theoretical yield of the precipitate

c$.$ If the total volume of the mixture was $50\mathrm{.}0$ mL$,$ what is the concentration of the product that remains in solution in Molarity $3?$

$-25\mathrm{.}00$ mL sample of H$2$SO with an unknown concentration is titrated using $0\mathrm{.}09975$ M KOH. If $44\mathrm{.}61$ mL of the KOH solution are required to reach the equivalence point, what is the concentration of the H$2504$ solution in molarity?