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on 8 of 11 > 9-O You prepare a buffer solution from 10.0 mL of 0.100 M MOPS (3-morpholinopropane-1-sulfonic acid) and 10.0 mL

You prepare a buffer solution from 10.0 mL of 0.100 M MOPS (3-morpholinopropane-1-sulfonic acid) and 10.0 mL of 0.084 M NaOH. Next, you add 1.00 mL of 4.05 x 10-6M lidocaine to this mixture. 

Denoting lidocaine as L, calculate the fraction of lidocaine present in the form LH+

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Answer #1

moles of MOPS = 0.1 x 10 / 1000 = 0.001

moles of OH- = 10 x 0.084 / 1000 = 0.00084

MOPS   + OH- -----------------------------> Salt + H2O

0.001       0.00084                                      0         0

1.6 x 10^-4    0                                      0.00084

pH = pKa + log [salt / acid ]

pH = 7.2 + loh ( 0.00084 / 1.6 x 10^-4)

pH = 7.92

[H+]   = 10^-7.92

          = 1.20 x 10^-8 M

Ka = Kw / Kb = 10^-14 / 8.7 x 10^-7 = 1.15 x 10^-8

fraction of lidocanine = H+ / H+ + Ka

                                 = 1.20 x 10^-8 / (1.20 x 10^-8) + (1.15 x 10^-8)

                                 = 0.510

fraction of lidocaine = 0.510 ----------------> answer

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