A buffer at pH 7.45 is prepared by mixing solutions of KH2PO4 and K2HPO4. Which of the following ratios of [base]/[acid] is required? For phosphoric acid, Ka1 = 7.5 × 10-3 Ka2 = 6.2 × 10-8 Ka3 = 4.2 × 10-13

Respuesta :

Answer:

The pH of the mixed buffer will be

[tex]\frac{[Base]}{[Acid]}[/tex] = 1.737

Explanation:

Buffer is prepared by mixing solutions of KH₂PO₄ and K₂HPO₄

H₂PO₄⁻ ⇄  HPO₄²⁻ + H⁺

Using Henderson equation

⇒         pH = pKa₂ + log[tex]\frac{[Base]}{[Acid]}[/tex]

⇒      7.45  = -log(6.2 x 10⁻⁸) + log[tex]\frac{[Base]}{[Acid]}[/tex]

⇒     log[tex]\frac{[Base]}{[Acid]}[/tex] = 7.45 - 7.2

⇒         [tex]\frac{[Base]}{[Acid]}[/tex]   = [tex]10^{0.24}[/tex]

⇒       [tex]\frac{[Base]}{[Acid]}[/tex]    = 1.737

So, pH of Buffer solution is equal to 1.737