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Q. Which of the following would cause the percent ionization of a week acid to increase?

NTA AbhyasNTA Abhyas 2022

Solution:

$K_{a}=\frac{C \alpha ^{2}}{1 - \alpha }$ .
If $\alpha < 5\%$ , then $1-\alpha =1$
So $K_{a}=C\alpha ^{2}$
or $\alpha =\sqrt{\frac{K_{a}}{C}}$
This shows that degree of ionization is inversely proportional to the square root of its molar concentration. Hence, $\alpha $ increases when solution is diluted with water.