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Question 2 Calculate the pH of a solution that has an acetic acid concentration of 0.05 M and a sodium acetate concentration of 0.075 M. (a) By making use of the Henderson - Hasselbach equation. (b) Without making any assumptions. (4) (6) 1101

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Answer : The pH of the solution is, 4.9

Explanation : Given,

Dissociation constant for acetic acid =
K_a=1.8* 10^(-5)

Concentration of acetic acid = 0.05 M

Concentration of sodium acetate = 0.075 M

First we have to calculate the value of
pK_a.

The expression used for the calculation of
pK_a is,


pK_a=-\log (K_a)

Now put the value of
K_a in this expression, we get:


pK_a=-\log (1.8* 10^(-5))


pK_a=5-\log (1.8)


pK_a=4.7

Now we have to calculate the pH of buffer.

Using Henderson Hesselbach equation :


pH=pK_a+\log ([Salt])/([Acid])


pH=pK_a+\log ([CH_3COONa])/([CH_3COOH])

Now put all the given values in this expression, we get:


pH=4.7+\log ((0.075)/(0.05))


pH=4.9

Therefore, the pH of the solution is 4.9.

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