Respuesta :

Answer : The pH of the solution is, 2.67

Explanation :

The equilibrium chemical reaction is:

                           [tex]Al^{3+}+H_2O\rightarrow Al(OH)^{2+}+H^+[/tex]

Initial conc.       0.450                   0               0

At eqm.           (0.450-x)                 x               x

As we are given:

[tex]K_a=1.00\times 10^{-5}[/tex]

The expression for equilibrium constant is:

[tex]K_a=\frac{(x)\times (x)}{(0.450-x)}[/tex]

Now put all the given values in this expression, we get:

[tex]1.00\times 10^{-5}=\frac{(x)\times (x)}{(0.450-x)}[/tex]

[tex]x=0.00212M[/tex]

The concentration of [tex]H^+[/tex] = x = 0.00212 M

Now we have to calculate the pH of solution.

[tex]pH=-\log [H^+][/tex]

[tex]pH=-\log (0.00212)[/tex]

[tex]pH=2.67[/tex]

Therefore, the pH of the solution is, 2.67

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