A) 7.42
B) 6.37
C) 6.99
D) 5.76
Correct Answer: D
Solution :
[d] Solubility \[=K\,{{p}_{C{{O}_{2}}}}\] |
\[=2.3\times {{10}^{-2}}\times 3.04\times {{10}^{-4}}\] |
\[=6.992\times {{10}^{-6}}\text{mol}\,{{\text{L}}^{-1}}\] |
\[{{H}_{2}}C{{O}_{3}}{{H}^{+}}+HCO_{3}^{-}\Rightarrow [{{H}^{+}}]=\sqrt{{{K}_{a}}.\,S}\] |
\[pH=\frac{1}{2}[p{{K}_{a}}-\log S]\] |
\[=\frac{1}{2}\left[ 6.37-\log 6.992\times {{10}^{-6}} \right]\] |
\[=\frac{1}{2}[6.37+5.16]\,\,\,\Rightarrow \,\,pH=5.76\] |
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