In: Chemistry
For the titration of 20.00 mL of 0.150 M HF with0.250 M NaOH, calculate:
a) the initial pH;Ka= 6.6 x 10^-4
b) the pH when the neutralization is 25% complete
c) the pH when the neutralization is 50% complete
d) the pH when the neutralization is 100% complete
millimoles of HF = 20 x 0.150 = 3
concentration of NaOH = 0.250
Ka = 6.6 x 10^-4
pKa = 3.18
a) initial pH :
[H+] = sqrt (Ka x C)
= sqrt (6.6 x 10^-4 x 0.150)
= 9.95 x 10^-3 M
pH = -log [H+] = -log (9.95 x 10^-3)
= 2.00
pH = 2.00
b) the pH when the neutralization is 25% complete :
at this millimoles of NaOH = 3 / 4 = 0.75
HF + NaOH ---------------> NaF + H2O
3 0.75 0 0
2.25 0 0.75
pH = pKa + log [salt / acid]
= 3.18 + log [0.75 / 2.25]
= 2.70
pH = 2.70
c) the pH when the neutralization is 50% complete :
here pH = pKa
pH = 3.18
d) the pH when the neutralization is 100% complete :
here salt only remains :
volume at eqivalence point = 3 / 0.250 = 12.
salt concentration = millimoles / total volume
= 3 / (20 + 12)
= 0.09375 M
pH = 7 + 1/2 (pKa + log C)
= 7 + 1/2 (3.18 + log 0.09375)
= 8.08
pH = 8.08