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Q. The degree of dissociation of weak electrolyte is inversely proportional to the square root of concentration. It is called Ostwald's dilution law
$\alpha=\sqrt{\frac{K_a}{c}}$ As the temperature increases, degree of dissociation will increase
$\frac{\alpha_1}{\alpha_2}=\sqrt{\frac{K_{a_1}}{K_{a_2}}}$ if concentration is same
$\frac{\alpha_1}{\alpha_2}=\sqrt{\frac{c_2}{c_1}}$ if acid is same
$0.01 \,M \,CH _3 COOOH$ has $4.24 \%$ degree of dissociation, the degree of dissociation of $0.1 \,M \,CH _3 COOH _2$ will be

Equilibrium

Solution:

Use: $\frac{\alpha_1}{\alpha_2}=\sqrt{\frac{C_2}{C_1}} \Rightarrow \frac{4.24}{\alpha_2}=\sqrt{\frac{0.1}{0.01}}$
$\Rightarrow \alpha_2=\frac{4.24}{\sqrt{10}} \%=1.33 \%$