Respuesta :
The pH of the buffer solution after the addition of sulfuric acid is determined as 4.43.
Initial moles of acid and base
The initial moles of acid and base conjugate is determined as follows;
n = CV
na₁ = (150 x 1.1341)/1000
na₁ = 0.17 mol
nb₁ = (100 x 0.831)/1000
nb₁ = 0.083 mol
Number of moles of the acid added
H₂SO4 ⇄ 2H²⁺ + SO₄²⁻
na₂ = (10 x 0.01)/1000
na₂ = 0.0001 mol
Final number of moles of the acid and base
nb = 0.083 - 2(0.0001) = 0.0829 mol
na = 0.17 + 2(0.0001) = 0.1702 mol
pH of the buffer solution
[tex]Ka = \frac{[CH_3COO][H^+]}{[CH_3COOH]} \\\\1.8\times 10^{-5} = \frac{0.0829(H^+)}{0.1702} \\\\H^+ = \frac{(1.8 \times 10^{-5})(0.1702)}{0.0829} \\\\H^+ = 3.696 \times 10^{-5}\\\\pH = -Log [H^+]\\\\pH = -Log (3.696 \times 10^{-5})\\\\pH = 4.43[/tex]
Thus, the pH of the buffer solution after the addition of sulfuric acid is determined as 4.43.
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