AP Chemistry
8.9 Henderson-Hasselbalch Equation
8.7 pH and pKa
A student prepares a buffer solution for a biological assay by combining
(\text{NaH}_2\text{PO}_4\text{(aq)}\) and \(\text{Na}_2\text{HPO}_4\text{(aq)}\). The \(\text{pH}\) of the resulting solution is measured to be \(8.20\) at \(25\ ^\circ\text{C}\). Acid-dissociation constants for phosphoric acid at \(25\ ^\circ\text{C}\) are provided in the table below.
Based on this information, which of the following is the value of the ratio \(\dfrac{[\text{HPO}_4^{2-}]}{[\text{H}_2\text{PO}_4^-]}\) in the buffer solution?
(\text{NaH}_2\text{PO}_4\text{(aq)}\) and \(\text{Na}_2\text{HPO}_4\text{(aq)}\). The \(\text{pH}\) of the resulting solution is measured to be \(8.20\) at \(25\ ^\circ\text{C}\). Acid-dissociation constants for phosphoric acid at \(25\ ^\circ\text{C}\) are provided in the table below.
| Acid | Dissociation Reaction | \(pK_a\) |
|---|---|---|
| \(\text{H}_3\text{PO}_4\) | \(\text{H}_3\text{PO}_4\text{(aq)} + \text{H}_2\text{O}\text{(l)} \rightleftharpoons \text{H}_3\text{O}^+\text{(aq)} + \text{H}_2\text{PO}_4^-\text{(aq)}\) | \(2.12\) |
| \(\text{H}_2\text{PO}_4^-\) | \(\text{H}_2\text{PO}_4^-\text{(aq)} + \text{H}_2\text{O}\text{(l)} \rightleftharpoons \text{H}_3\text{O}^+\text{(aq)} + \text{HPO}_4^{2-}\text{(aq)}\) | \(7.20\) |
| \(\text{HPO}_4^{2-}\) | \(\text{HPO}_4^{2-}\text{(aq)} + \text{H}_2\text{O}\text{(l)} \rightleftharpoons \text{H}_3\text{O}^+\text{(aq)} + \text{PO}_4^{3-}\text{(aq)}\) | \(12.32\) |
Based on this information, which of the following is the value of the ratio \(\dfrac{[\text{HPO}_4^{2-}]}{[\text{H}_2\text{PO}_4^-]}\) in the buffer solution?
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