In: Chemistry
HCN has a pKa = 6.2 x 10-10. If a 50.0 mL of 0.100 M HCN is titrated with 0.100 M NaOH, calculate the pH a) after 8.00 mL base, b) at the halfway point of the titration, c) at the equivalence point.
Answers are below, I need to know how to get to them step by step/conceptually
Confirm: a) 8.49 , b) 9.21 c) 10.96
millimoles of HCN = 50 x 0.1 = 5
pKa = -log Ka
pKa = -log (6.2 x 10^-10)
pKa = 9.21
a) after 8.00 mL base
millimoles of NaOH = 8 x 0.1 = 0.8
HCN + NaOH ---------------------> NaCN + H2O
5 0.8 0 0
4.2 0 0.8 0.8
pH = pKa + log [NaCN/ HCN]
pH = 9.21 + log (0.8 / 4.2)
pH = 8.49
b) at the halfway point of the titration
at the halfway point of the titration pKa always equal to pH
pH = pKa
pH = 9.21
c) at the equivalence point
at equivalence point only salt remains
[salt] = 50 x 0.1 / (50 + 50) = 0.05 M
salt is the from strong base and weak acid . so pH > 7
pH = 7 + 1/ 2[pKa + log C] --------------------------------> formula for strong base weak acid salt
pH = 7 + 1/2 [9.21 + log 0.05]
pH = 10.96