In: Chemistry
You prepare a buffer solution from 10.0 mL of 0.100 M MOPS (3-morpholinopropane-1-sulfonic acid) and 10.0 mL of 0.079 M NaOH. Next, you add 1.00 mL of 1.65 × 10-5 M lidocaine to this mixture Denoting lidocaine as L, calculate the fraction of lidocaine present in the form LH .
ka=6.3e-8
kb=8.7e-7
millimoles of MOPS = 10 x 0.1 = 1
millimoles of NaOH = 10 x 0.079 = 0.79
Ka = 6.3 x 10^-8
pKa = -log Ka = 7.20
MOPS + NaOH ------------> MOPS salt + H2O
1 0.79 0 0
0.21 0 0.79
pH = pKa + log [salt / acid]
= 7.20 + log [0.79 / 0.21]
pH = 7.78
lidocaine Kb = 8.7 x 10^-7
Ka = Kw / Kb = 10^-14 / 8.7 x 10^-7 = 1.15 x 10^-8
[H+ ] = 10^-7.78 = 1.66 x 10^-8 M
fraction of lidocaine = [H+] / [H+] + Ka
= 1.66 x 10^-8 / 1.66 x 10^-8 + 1.15 x 10^-8
fraction of lidocaine = 0.591