Acid-base titration curves

Tutorial 3

        

Here is a titration curve recorded using a pH meter::

Determine the volume at the equivalence point and calculate the initial molarity of the acid !

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$V_e$ $=$ $40\;mL$ $c_{acide}$ $=$ $\frac{40\cdot 0.05}{20}$ $=$ $0.10M$

Look for the acidity constant !

Weak acid, pH at half-equivalence point:

$pK_a\approx 4.8$

Recalculate the pH at point 1

Weak acid: $x=[H_3O^+]$ $x^2+c_ax-c_aK_a$ $=$ $0$ $x^2+0.10\cdot x-0,10\cdot 10^{-4.8}$ $=$ $0$ $x=7,08\cdot 10^{-3} $ $pH$ $=$ $-log7.08\cdot 10^{-3}$ $=$ $2.15$.

Recalculate the pH at point 2

Buffer: $pH$ $=$ $4.8+log\frac{0.020\cdot 0.10-0.016\cdot 0.05}{0.016\cdot 0.05}$ $=$ $4.97$.

Recalculate the pH at point 3

Weak base: $x=[OH^-]$ $x^2+c_bx-c_bK_b$ $=$ $0$ $x^2+0.033\cdot x-0.033\cdot 10^{-9.2}$ $=$ $0$ $x=1.0\cdot 10^{-5} $ $pOH$ $=$ $-log[OH^-]$ $=$ $5.0$. $pH$ $=$ $14-5.0$ $=$ $9.0$.

Recalculate the pH at point 4

Excess strong base: $pH$ $=$ $14+log\frac{0.064\cdot 0.05-0.020\cdot 0.10}{0.084}$ $=$ $12.2$.