A titration of 10.00ml of hypochlorous acid with 0.350M barium hydroxide was done in the lab. At endpoint, 12.6 mL of barium hydroxide was used. What is the concentration of the hypochlorous solution?

To find the concentration of the hypochlorous acid solution, we can use the stoichiometry of the balanced chemical equation between hypochlorous acid (HOCl) and barium hydroxide (Ba(OH)2).

The balanced equation is:
HOCl + 2Ba(OH)2 -> Ba(Cl)2 + 2H2O

From the balanced equation, we can see that the mole ratio between HOCl and Ba(OH)2 is 1:2.

The number of moles of Ba(OH)2 used can be calculated using the volume and concentration of barium hydroxide:

moles of Ba(OH)2 = volume (L) x concentration (mol/L)
moles of Ba(OH)2 = 12.6 mL x (1 L / 1000 mL) x 0.350 mol/L
moles of Ba(OH)2 = 0.00441 mol

From the stoichiometry of the balanced equation, we know that the number of moles of HOCl used is half of the moles of Ba(OH)2:

moles of HOCl = 0.00441 mol / 2
moles of HOCl = 0.00221 mol

Now we can calculate the concentration of the hypochlorous acid solution:

concentration of HOCl = moles / volume (L)
concentration of HOCl = 0.00221 mol / 0.01 L
concentration of HOCl = 0.221 mol/L

Therefore, the concentration of the hypochlorous acid solution is 0.221 mol/L.