Kelsey W. answered 03/26/18
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It is important to understand what is occurring during a titration at the equivalence point. In this problem, the monoprotic weak acid (KHC8H4O4) is being titrated with a strong base (NaOH). At the equivalence point for titrations, the amount of moles of H+ is equal to the amount of moles of OH- in solution. Since we know we have 1.518 grams of weak acid, KHC8H4O4, we can convert to moles of weak acid (by using the periodic table to find the molar mass of the acid) which will also be the amount of moles of base in the solution.
moles of acid = moles of base at the equivalence point
Molarity of a solution has units of moles per liter. We know that there is 26.90 mL of base and we can calculate the amount of moles of base.
molar mass of weak acid= (39.10 amu K) + 5(1.008 amu H) + 8(12.01 amu C) + 4(16.00 amu O) = 204.22 grams per mole of weak acid.
find moles of weak acid= 1.518 grams x 1 mole/ 204.22 grams = 7.433 x 10-3 moles of weak acid
7.433 x 10-3 moles of acid = 7.433 x 10-3 moles of base
find the molarity of base= 7.433 x 10-3 moles / 0.02690 L base = 0.2763 M NaOH