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9 July, 20:29

A chemist prepares 1.0 L of a buffer solution by preparing an aqueous solution containing 1.00 mol of H2PO4-, then adding 0.27 moles of KOH to convert the acid into its conjugate base. What is the final pH of the solution? The Ka for H2PO4 - is 6.2 x 10-8; the pKa is 7.20.

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  1. 9 July, 20:49
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    pH of solution is 6.77.

    Explanation:

    H₂PO₄⁻ reacts with KOH thus:

    H₂PO₄⁻ + KOH → HPO₄²⁻ + H₂O + K⁺

    If 1.00 mol of H₂PO₄⁻ reacts with 0.27mol of KOH, moles of HPO₄²⁻ produced are 0.27mol and moles of H₂PO₄⁻ that remains are 1.00mol - 0.27mol = 0.73mol.

    It is possible to find pH of this buffer using H-H equation:

    pH = pka + log₁₀ [HPO₄²⁻] / [H₂PO₄⁻]

    Where pKa is 7.20

    [HPO₄²⁻] = 0.27mol / 1.0L = 0.27M

    [H₂PO₄⁻] = 0.73mol / 1.0L = 0.73M

    Replacing:

    pH = 7.20 + log₁₀ [0.27M] / [0.73M]

    pH = 6.77

    pH of solution is 6.77
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