The formula for percent ionization is as follows:-
Percent ionization = (x/C)*100
Where x:- Change in concentration
C:- Original concentration
To find the value of x, we need to draw an ICE table first. Before that we need to write reaction between HCO2H and water.
HCO2H (aq) + H2O (l) -----> HCOO- (aq) + H3O+ (aq)
HCO2H | HCOO- | H3O+ | |
I | 0.00473 | 0 | 0 |
C | -x | x | x |
E | 0.00473-x | x | x |
The relation for Ka is written as
Ka = [Product]/[Reactant]
1.8 * 10-4 = x*x/(0.00473-x)
Now apply 5% rule here,
1.8 * 10-4 =x2/0.00473
Multiply both side by 0.00473
1.8 * 10-4 * 0.00473 = x2
x2 = 8.514 * 10-7
x2 = 85.14 * 10-1 * 10-7
x2 = 85.14 * 10-8
Taking square root on both side, we get
x=
x = 9.2271 * 10-4
Now put value of x and C in percent ionization,
Percent ionization = (9.2271 * 10-4 / 0.00473) * 100
= 0.1950 * 100 = 19.50%
Therefore percent ionization of 0.00473 M HCO2H is 19.50%.
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