In: Chemistry
The Ka's for H2CO3 are K1 = 4.5 x 10^-11. Calculate the pH of the solution when 45.9 ml of 0.25 M KHCO3 is mixed with a)35 mL 0.15 M HBr. b) 50.0 mL of 0.15 M KOH
H2CO3 Ka1 = 4.3 x 10^-7
Ka2 = 5.6 x 10^-11
millimoles of HCO3- = 45.9 x 0.25 = 11.475
millimoles of HBr = 35 x 0.15 = 5.25
HCO3- + H+ ----------------> H2CO3
11.475 5.25 0
6.225 0 5.25
pOH = pKb1 + log [HCO3- / H2CO3]
= 7.63 + log [6.225 / 5.25]
= 7.70
pH = 14 - 7.70 = 6.3
pH = 6.30
(b)
millimoles of KOH = 50 x 0.15 = 7.5
HCO3- + OH- -------------------> CO32- + H2O
11.475 7.5 0 0
3.975 0 7.5 7.5
pH = pKa2 + log [CO32- / HCO3-]
= 10.25 + log [7.5 / 3.975]
= 10.53
pH = 10.53