Question

The degree of dissociation of weak electrolytes 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

$0.01M$ $C{H}_{3}COOOH$ has $4.24\%$ degree of dissociation, the degree of dissociation of $0.1M$ $C{H}_{3}COOOH$ will be

• A. $1.33\%$
• B. $4.24\%$
• C. $5.24\%$
• D. $0.33\%$

Answer 1

The correct option is A $1.33\%$

$\frac{{\alpha }_1}{{\alpha }_2}=\sqrt{\frac{C_1}{C_2}}\Rightarrow \frac{4.24}{{\alpha }_2}=\sqrt{\frac{0.1}{0.01}}$
$\Rightarrow {\alpha }_2=\frac{4.24}{\sqrt{10}}\%=1.33\%$