A student analyzed an aqueous solution of ascorbic acid $)=(176\mathrm{.}12\frac{g}{m}ol$ which is a diprotic acid also known as vitamin C$.$ The student measured out a $125\mathrm{.}00mL$ sample of the ascorbic acid solution and titrated it with a $0\mathrm{.}5800M$ solution of lithium hydroxide. The initial burette reading was $13\mathrm{.}12mL.$ When the end point of the titration was reached, the burette had a reading of $34\mathrm{.}78mL.$

a$.$ Write a balanced chemical equation for the reaction between malonic acid and lithium hydroxide. You do not need to include states of matter on the molecules in the reaction.

b$.$ Use the data to determine the molarity of the ascorbic acid solution.

c$.$ Use the data to determine the mass of ascorbic acid in the student's sample of