First slide
Ionization constants of weak acids, PH of weak acids
Question

For a weak acid, the concentration of H+ ions is given by

Easy
Solution

                                              C{H_3}COOH     \rightleftharpoons      {H^ + }      +    C{H_3}CO{O^ - }

t=0 C0 0 0
t=teq C0-C0α C0α C0α

{K_a} = \frac{{\left ({C_0}\alpha \right ) \left ({C_0}\alpha \right )}}{{{C_0} - {C_0}\alpha }} = \frac{{{C_0}{\alpha ^2}}}{{1 - \alpha }}  \rightarrow(1)

For a weak acid, 1 - α ~ 1

{C_0}\left( {{K_a}} \right) = {C_0}{\alpha ^2} \times {C_0}

{C_0}\left( {{K_a}} \right) = {\left( {{C_0}\alpha } \right)^2}=[H^+]^2

[H^+]=\sqrt{K_aC_0}

 

 

 

 

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