A buffer solution is prepared by taking 0.400 moles of acetic acid (pKa = 4.76) and 0.250 moles of calcium acetate in sufficient water to make 1.400 liters of solution. Calculate the pH of this solution.

Respuesta :

Answer:

pH of Bfr = 4.83

Explanation:

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The pH of the buffer solution prepared from acetic acid and calcium acetate in sufficient water is 4.84.

Molarity of the acid and base

H(Ac) = 0.4/1.4L = 0.2857 M

Ca(OH)₂ = 0.25/1.4L = 0.17857 M

Total molarity

= 0.2857 M H(Ac)  + 0.17857 M Ca(OH)₂

= 0.2857 M H(Ac) + 2(0.17857) OH⁻

=  0.2857 M H(Ac) + 0.3571 M OH⁻

H(Ac) ⇄ H⁺   OH⁻

0.2857 M   ⇄ 0.3571 M

pH of the buffer solution

[tex]H^+ = \frac{[K_a][H(_{AC}]}{OH^-} \\\\H^+ = \frac{(1.8 \times 10^{-5}) (0.2857)}{(0.3571)} \\\\H^+ = 1.44\times 10^{-5}[/tex]

pH = -Log(H⁺)

pH = - Log(1.44 x 10⁻⁵)

pH = 4.84

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