$pH$ of mixtures

Tutorial 12

        

What is the pH of a mixture of $ 1.0 \; L \ NaOH \; 0.10 \; \frac{mol}{L} $ with $ 1.0 \; L \; H_3PO_4 \; 0.10 \; \frac{mol}{L} $? Write the (nonionic) equation of the reaction !

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$NaOH+H_3PO_4 \rightarrow NaH_2PO_4+H_2O$

Complete the following table:

$NaOH$ + $H_3PO_4$ $NaH_2PO_4$ + $H_2O$
initial nb. of moles 0.10 0.10 0
variation of mole nbs ........ ........ ........
final nb. of moles ........ ........ ........

$NaOH$ + $H_3PO_4$ $NaH_2PO_4$ + $H_2O$
initial nb. of moles 0.10 0.10 0
variation of mole nbs -0.10 -0.10 +0.10
final nb. of moles 0 0 0.10

Write the solutes present at the end with their molarities !

$[NaH_2PO_4]=\frac{0.10}{2.0}=0.05\frac{mol}{L}$

Analyse the final mixture!

$NaH_2PO_4$ dissociates to $H_2PO_4^-$ and $Na^+$ $Na^+$ has no influence. $H_2PO_4^-$ is an ampholyte!

Calculate its pH!

$pH$ $=$ $\frac{1}{2}pK_{a1}+\frac{1}{2}pK_{a2}$ $=$ $\frac{1}{2}2.12+\frac{1}{2}7.21$ $=$ $4.67$ .