Equilibrium Question 809

Question: Assuming that the buffer in the blood is $ CO_2-HCO_3^{-} $ . Calculate the ratio of conjugate base to acid necessary to maintain blood at its proper pH of 7.4. $ K_1(H_2CO{ _3})=4.5\times {10^{-7}} $

Options:

A) 11

B) 8

C) 6

D) 14

Show Answer

Answer:

Correct Answer: A

Solution:

$ CO_2 $ with $ H_2O $ forms $ H_2CO_3 $

$ CO_2+H_2O\rightarrow {H^{+}}+HCO_3^{-} $

$ K_1=\frac{[{H^{+}}][HCO_3^{-}]}{[CO_2]}=4.5\times {10^{-7}} $ Again $ pH=-\log [{H^{+}}]=7.4 $

$ \therefore ,[{H^{+}}]=4.0\times {10^{-8}} $

$ \therefore ,\frac{[HCO_3^{-}]}{[CO_2]}=\frac{4.5\times {10^{-7}}}{4\times {10^{-8}}}=11 $



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