Equilibrium - Result Question 75

####79. The dissociation constant of a weak acid is $1 \times 10^{-4}$. In order to prepare a buffer solution with a pH $=5$ the [Salt]/[Acid] ratio should be

(a) $1: 10$

(b) $4: 5$

(c) $10: 1$

(d) $5: 4$

[NEET Kar. 2013]

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Solution:

  1. (c) Given, $K_a=1 \times 10^{-4}$

$\therefore \quad p K_a=-\log (1 \times 10^{-4})=4$

Now from Handerson equation

$pH=p K_a+\log \frac{[\text{ Salt }]}{[\text{ Acid }]}$

Putting the values

$5=4+\log \frac{[\text{ Salt }]}{[\text{ Acid }]}$

$\log \frac{[\text{ Salt }]}{[\text{ Acid }]}=5-4=1$

Taking antilog

[Salt]/[Acid] $=10=10: 1$



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