1. Tardigrade
  2. Question
  3. Chemistry
  4. The dissociation constant of acetic acid is x × 10-5. When 25 mL of 0.2 M CH 3 COONa solution is mixed with 25 mL of 0.02 M CH 3 COOH solution, the pH of the resultant solution is found to be equal to 5 . The value of x is

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Q. The dissociation constant of acetic acid is $x \times 10^{-5}$. When $25 \,mL$ of $0.2 \,M \,CH _3 COONa$ solution is mixed with $25 \,mL$ of $0.02\, M \,CH _3 COOH$ solution, the $pH$ of the resultant solution is found to be equal to 5 . The value of $x$ is ___

JEE MainJEE Main 2023Equilibrium

Solution:

Buffer of $HOAc$ and $NaOAc$
$ pH = pKa +\log \frac{0.1}{0.01} $
$ 5= pKa +1 $
$ pKa =4$
$ Ka =10^{-4}$
$ x =10$