An aqueous solution is prepared by dissolving hydrofluoric acid (HF) to give an…

CHEMISTRY · Multi-part · A Level · Chemistry · Acids and bases · Acids and bases

Problem

An aqueous solution is prepared by dissolving hydrofluoric acid (HF) to give an initial concentration of 0.250 M0.250\,\text{M} at 25 ∘C25\,^\circ\text{C}. The acid-dissociation constant of HF at this temperature is 6.8×10−46.8 \times 10^{-4}. (a) Calculate [H3O+][\mathrm{H_3O^+}] and the pH of the solution assuming that the equilibrium concentration of HF is effectively equal to 0.250 M0.250\,\text{M}. (b) Solve exactly for [H3O+][\mathrm{H_3O^+}] by treating the equilibrium concentrations algebraically and obtain the pH without making the assumption stated in part (a). (c) Determine the percent error in [H3O+][\mathrm{H_3O^+}] that results from the assumption in part (a). (d) Based on the percent error, state whether the assumption is justified for this solution and briefly explain your reasoning.

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