Determine the pH of the solution when 20.00 mL of 0.1563 M aniline hydrochloride (C6H5NH3+Cl-) is titrated with 15.00 mL of 0.1249 M NaOH. (Ka(aniline)=2.40 x 10-5)
Given:
M(C6H5NH3+) = 0.1563 M
V(C6H5NH3+) = 20 mL
M(NaOH) = 0.1249 M
V(NaOH) = 15 mL
mol(C6H5NH3+) = M(C6H5NH3+) * V(C6H5NH3+)
mol(C6H5NH3+) = 0.1563 M * 20 mL = 3.126 mmol
mol(NaOH) = M(NaOH) * V(NaOH)
mol(NaOH) = 0.1249 M * 15 mL = 1.8735 mmol
We have:
mol(C6H5NH3+) = 3.126 mmol
mol(NaOH) = 1.8735 mmol
1.8735 mmol of both will react
excess C6H5NH3+ remaining = 1.2525 mmol
Volume of Solution = 20 + 15 = 35 mL
[C6H5NH3+] = 1.2525 mmol/35 mL = 0.0358M
[C6H5NH2] = 1.8735/35 = 0.0535M
They form acidic buffer
acid is C6H5NH3+
conjugate base is C6H5NH2
Ka = 2.4*10^-5
pKa = - log (Ka)
= - log(2.4*10^-5)
= 4.62
use:
pH = pKa + log {[conjugate base]/[acid]}
= 4.62+ log {5.353*10^-2/3.579*10^-2}
= 4.795
Answer: 4.80
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