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Equilibrium

Question
CBSEENCH11006588

Calculate the pH of 0.1M solution of sodium acetate (pKa = 4·74).

Solution
Since sodium acetate is a salt of weak acid and strong base,
therefore space space space pH space equals space minus 1 half open square brackets log space straight K subscript straight w space plus space log space straight K subscript straight a space minus space log space straight c close square brackets
space space space space space space space space space space equals space 1 half open square brackets negative log space straight K subscript straight w space minus space log space straight K subscript straight a space plus space log space straight c close square brackets
space space space space space space space space space space equals space 1 half left square bracket pK subscript straight w space plus space pK subscript straight a space plus space log space straight c right square bracket
space space space space space space space space space space space equals 1 half open square brackets negative log space left parenthesis 10 to the power of negative 14 end exponent right parenthesis space plus space 4.74 space plus space log space 0.01 close square brackets
space space space space space space space space space space space equals 1 half left square bracket 14 plus 4.74 plus log space 10 to the power of negative 2 end exponent right square bracket
space space space space space space space space space space space space equals space 0.5 open square brackets 14 space plus space 4.74 space minus space 2 close square brackets
space space space space space space space space space space space space equals space 0.5 space cross times 16.74 space equals space 8.37 space space space space space space space space space space space space space space space space space space
space space space space space space space