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Equilibrium

Question
CBSEENCH11006532

Calculate the hydrogen ion concentration in the following biological fluids whose pH are given below:
(a) Human muscle-fluid, 6·83
(b) Human stomach fluid, 1·2
(c) Human blood, 7·38
(d) Human saliva, 6·4

Solution

We know
       space space space space space space space space space pH space equals space minus log space open square brackets straight H to the power of plus close square brackets
or space space space space space log space open square brackets straight H to the power of plus close square brackets space equals space minus pH           straight a right parenthesis space For space human space muscle minus fluid comma space pH equals 6.83
because
space log space left square bracket straight H to the power of plus right square bracket space equals space minus 6.83 minus 1 plus 1 minus 0.83
equals stack space 7 with minus on top.17 space space space
therefore space left square bracket straight H to the power of plus right square bracket space equals antilog space left parenthesis stack space 7 with minus on top.17 right parenthesis equals space 1.479 space straight x space 10 to the power of negative 7 end exponent straight M

straight b right parenthesis space For space human space sotmach space fluid space pH equals 1.2
because space log space left square bracket straight H to the power of plus right square bracket space equals negative 1.2 space equals negative 1 minus 1 plus 1 minus 0.2 space equals 2 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 2 with minus on top.8 right parenthesis equals 6.31 space straight x 10 to the power of negative 2 end exponent straight M

straight c right parenthesis space For space human space blood comma space pH space equals 7.38
because space log left square bracket straight H to the power of plus right square bracket space equals negative 7.38 equals negative 7 minus 1 plus 1 minus 0.38
space space space space equals stack space 8 with minus on top.62
therefore left square bracket straight H to the power of plus right square bracket equals space antilog space left parenthesis stack space 8 with minus on top.62 right parenthesis equals 4.169 space straight x space 10 to the power of negative 8 end exponent space straight M
straight d right parenthesis space Human space saliva comma space pH equals 6.4
because space log space left square bracket straight H to the power of plus right square bracket space equals negative 6.4 space equals negative 6 minus 1 plus 1 minus 0.4
space equals space 7 with minus on top.60
because space left square bracket straight H to the power of plus right square bracket space equals antilog space left square bracket 7 with minus on top.60 right square bracket
equals 3.981 space straight x 10 to the power of negative 7 end exponent straight M