$pH$ of mixtures

Tutorial 10

        

What is the pH of a mixture of $ 1.0 \; L \; KOH \; 1.0 \; \frac{mol}{L} $ with $ 1.0 \; L \; HCN \; 0.50 \; \frac{mol}{L} $? Write the (nonionic) equation of the reaction!

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$KOH+HCN \rightarrow KCN+H_2O$

Complete the following table:

$KOH$ + $HCN$ $KCN$ + $H_2O$
initial nb. of moles 1.0 0.5 0
variation of mole nbs ........ ........ ........
final nb. of moles ........ ........ ........

$KOH$ + $HCN$ $KCN$ + $H_2O$
initial nb. of moles 1,0 0,5 0
variation of mole nbs -0.50 -0.50 +0.50
final nb. of moles 0.50 0.0 0.50

Write the solutes present at the end with their molarities!

$[KCN]=\frac{0.5}{2.0}=0.25\frac{mol}{L}$ $[KOH]=\frac{0.5}{2.0}=0.25\frac{mol}{L}$

Analyse the final mixture!

$KCN$ has dissociated to $K^+$ and $CN^-$. $K^+$ has no influence. $CN^-$ is a weak base $KOH$ has dissociated to $K^+$ and $OH^-$. $K^+$ has no influence. $OH^-$ is treated as a strong base .

Calculate the pH!

$pOH=-log[OH^-]=-log0.25=0.60$ $pH$ $=$ $14-0.60$ $=$ $13.4$ .