Five buffer solutions are prepared at 25 °C by mixing different proportions of a…

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

Problem

Five buffer solutions are prepared at 25 °C by mixing different proportions of a monoprotic weak acid, HX, with its sodium salt, NaX, each to a total volume of 100.0 mL. The concentration of HX in every mixture is maintained at 0.150 M, while the concentration of X⁻ is varied as shown in the table below. A laboratory pH probe is used to measure the pH of each buffer.
Trial[X⁻] (M)Measured pH
10.0153.46
20.0303.61
30.0753.90
40.1504.16
50.3004.39
(a) For each trial, compute log⁡ ⁣([X−][HX])\log\!\left( \dfrac{[\text{X}^-]}{[\text{HX}]} \right). Record your values in a clearly labeled table. (b) On graph paper, sketch a plot of pH (vertical axis) versus log⁡ ⁣([X−][HX])\log\!\left( \dfrac{[\text{X}^-]}{[\text{HX}]} \right) (horizontal axis). Draw the best-fit straight line through the data points. (c) Determine the slope and y-intercept of the best-fit line. Explain what each of these two parameters represents in the context of the acid–base system studied. (d) Use the y-intercept obtained in part (c) to estimate the pKₐ of HX at 25 °C. Discuss one systematic error that could cause the experimental pKₐ to deviate from the true value.

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