Gran Plot - Titrating Strong Base With Strong Acid

Titrating Strong Base With Strong Acid

Mirror-image plots are obtained if titrating the base with the acid, and the signs of the slopes are reversed.

\frac{v_0 _0-v_i_0}{v_0+v_i} \begin{cases} \approx _i \text{ or } K_w 10^{pH_i} & \text{ when } v_{0^{ }} _0 > v_i_0 \text{ (alkaline region)} \\ = 0 & \text{ when } v_{0^{ }} _0 = v_i_0 \text{ (equivalence point)} \\ \approx -_i \text{ or } -10^{-pH_i} & \text{ when } v_{0^{ }} _0 < v_i_0 \text{ (acidic region)} \end{cases}

Hence,

  • a plot of will have a linear region before equivalence with slope
  • and a plot of will have a linear region after equivalence with slope
  • both plots will have as x-intercept

Figure 1 gives sample Gran plots of a strong base-strong acid titration.

Read more about this topic:  Gran Plot

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