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Equilibrium

Question
CBSEENCH11006533

The pH of milk, black coffee, tomato juice, lemon juice and egg white are 6·8. 5·0, 4·2, 2·2 and 7·8 respectively. Calculate corresponding hydrogen ion concentration in each. 

Solution
We know,
pH space equals negative log left square bracket straight H to the power of plus right square bracket space space or space log space left square bracket straight H to the power of plus right square bracket equals negative pH
straight a right parenthesis space For space milk comma space pH space equals 6.8
because space log space left square bracket straight H to the power of plus right square bracket equals negative 6.8 equals negative 6 minus 1 plus 1 minus 0.8 equals 7 with minus on top.2
therefore left square bracket straight H to the power of plus right square bracket equals antilog space left parenthesis 7 with minus on top.2 right parenthesis equals 1.58 space straight x space 10 to the power of negative 7 end exponent straight M

straight b right parenthesis space Fo space black space coffee comma space pH space equals 5
because space left square bracket straight H to the power of plus right square bracket space equals 10 to the power of negative pH end exponent space equals 10 to the power of negative 5 end exponent space straight M

straight c right parenthesis space space For space tomato space juice comma space pH space equals 4.2
because space log left square bracket straight H to the power of plus right square bracket space equals negative 4.2
equals negative 4 minus 1 plus 1 minus 0.2 equals space 5 with minus on top.8
therefore space log left square bracket straight H to the power of plus right square bracket equals antilog left parenthesis 5 with minus on top.8 right parenthesis equals 6.30 space straight x space 10 to the power of negative 5 end exponent straight M
straight d right parenthesis space For space lemon space juice comma space pH equals 2.2
because space log left square bracket straight H to the power of plus right square bracket space equals negative 2.2 equals negative 2 minus 1 plus 1 minus 0.2 equals 3 with minus on top.8
therefore left square bracket straight H to the power of plus right square bracket equals space antilog space left parenthesis 3 with minus on top.8 right parenthesis equals 6.31 space straight x 10 to the power of negative 3 end exponent space straight M
straight e right parenthesis space For space egg space white comma space pH space equals 7.8
because space log left square bracket straight H to the power of plus right square bracket equals negative 7.8 space equals negative 7 minus 1 plus 1 minus 0.8 space equals 8 with minus on top.2

therefore space left square bracket straight H to the power of plus right square bracket equals antilog space left parenthesis 8 with minus on top.2 right parenthesis equals 1.58 space straight x space 10 to the power of plus 8 end exponent space straight M