Answer:
1) before the addition of barium hydroxide
pH = -log[H⁺] = -log (0.276) = 0.559≈0.56
2)after the addition of barium hydroxide
pH = -log [H⁺] = -log(0.0857) = 1.067
3)at equivalent point, the solution will be neutral
pH = 7.0
4) after adding 40.7mL barium hydroxide
Step-by-step explanation:
equation of reaction
2HCl(aq) + Ba(OH)₂(aq) ------->BaCl₂(aq) + 2H₂O(l)
1) Before the addition of barium hydroxide
concentration of HBr = 0.276M
[H⁺] = 0.276M
pH = -log[H⁺] = -log (0.276) = 0.559≈0.56
2) After adding 16.7mL barium hydroxide
moles of [OH⁻] = 16.7mL × 0.105 × 2
=3.507m mol = 3.507 × 10³mol
moles of [H⁺] = 25.5mL × 0.276M
=7.038m mol = 7.038 × 10³mol
moles of [H⁺] remaining = (7.038 - 3.421)m mol
= 3.617m mol = 3.617 × 10³mol
[H⁺]=
= 0.0857
pH = -log [H⁺] = -log(0.0857) = 1.067
3) At equivalent point, the solution will be neutral
pH = 7.0
4) After adding 40.7mL barium hydroxide
moles of [OH⁻] = 40.7mL × 0.105M × 2
=8.547
moles of [OH⁻] remaining = 8.547 - 7.038
= 1.509m mol = 1.509 × 10³mol
pOH= -log[OH⁻]= 2.82
pH = 14 - 2.82 = 11.18