A 0.10 M butanoic acid (butyric acid) solution has a pH of 5.2. To the nearest hundredth of a unit, what fraction of the butanoic acid/butanoate molecules are in the basic form? (The pKa of butanoic acid is 4.82.)
Henderson - Hasselbalch equation is
pH = pKa + log( [ Base ] /[ acid ])
pH = 5.20
pKa of butanoic acid = 4.82
Butanate is the basic form
Butanoic acid is the acid form
5.20 = 4.82 + log([Butanate]/[Butanoic acid ])
log([Butanate]/[Butanoic acid ]) = 0.38
[ Butanate ]/ [ Butanoic acid ] = 2.40
So , for 1mole of Butanoic acid 2.40 mole of Butanate
[ Butanate ] = 2.40 × [ Butanoic acid ]
[Butanoic acid] + [Butanate] = 0.10M
[ Butanoic acid ] + 2.40[ Butanoic acid ] =0.10M
3.40[ Butanioc acid ] = 0.10M
[ Butanoic acid ] = 0.0294M
[ Butanate ] = 0.10M - 0.0294M =0.0706M
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