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Equilibrium

Question
CBSEENCH11006558

The ionisation constant of acetic acid is 1·74 × 10–5. Calculate the degree of dissociation of acetic acid in its 0·05 M solution. Calculate the concentration of acetate ion in the solution and its pH. 

Solution
The dissociation of acetic acid may be represented as
CH subscript 3 COOH space space rightwards harpoon over leftwards harpoon space space space CH subscript 3 COO to the power of minus space plus space straight H to the power of plus
space space space straight K subscript straight a space equals space fraction numerator open square brackets CH subscript 3 COO to the power of minus close square brackets space open square brackets straight H to the power of plus close square brackets over denominator open square brackets CH subscript 3 COOH close square brackets end fraction space equals space fraction numerator open square brackets straight H to the power of plus close square brackets squared over denominator open square brackets CH subscript 3 COOH close square brackets end fraction
or space space open square brackets straight H to the power of plus close square brackets space equals space square root of straight K subscript straight a open square brackets CH subscript 3 COOH close square brackets end root
space space space space space space space space space space space equals square root of left parenthesis 1.74 space cross times space 10 to the power of negative 5 end exponent right parenthesis thin space left parenthesis 5 space cross times space 10 to the power of negative 2 end exponent right parenthesis end root
space space space space space space space space space space space equals space 9.33 space cross times space 10 to the power of negative 4 end exponent straight M
open square brackets CH subscript 3 COO to the power of minus close square brackets space equals space open square brackets straight H to the power of plus close square brackets space equals space 9.33 space cross times space 10 to the power of negative 4 end exponent straight M
space space space space pH space equals space space minus log space left parenthesis 9.33 space cross times space 10 to the power of negative 4 end exponent right parenthesis space equals space 4 space minus space 0.9699
space space space space space space space space space equals space 4 minus 0.97 space equals 3.03