
Julian D. answered 08/24/20
Chemistry grad with 8+ years of experience and 2+ years tutoring.
0.5 g HCl * (1 mol HCl / 36.46 g HCl) = 0.0137 mol HCl
1.5 g KOH * (1 mol NaOH / 56.1056 g KOH) = 0.0267 mol NaOH
they react 1 : 1 (HCl + KOH = NaCl + H2O) so the limiting reagent is the HCl, leaving you with (0.0267- 0.0137) = 0.0130 moles of KOH after neutralization.
The total volume after the 2 solutions are mixed is 9.5 L. so the concentration of OH- is 0.0130 mol / 9.5 L = 1.36 * 10 ^-3 M.
plugging that into the pOH = -log [OH] gives us 2.863 so the pH is equal to 14 - 2.863, which is 11.13.
Let me know if you have any questions about the procedure. Hope this helps.