A) \[9\times {{10}^{-4}}\]
B) \[81\times {{10}^{-4}}\]
C) \[9\times {{10}^{-5}}\]
D) \[2.8\times {{10}^{-3}}\]
Correct Answer: A
Solution :
\[[{{H}^{+}}]=\sqrt{{{K}_{1}}{{C}_{1}}+{{k}_{2}}{{C}_{2}}}\] (for mixture of two weak acids) \[=\sqrt{1.8\times {{10}^{-5}}\times 0.01+6.3\times {{10}^{-5}}\times 0.01}\] \[=\sqrt{18\times {{10}^{-8}}+63\times {{10}^{-8}}}\] \[=\sqrt{81\times {{10}^{-8}}}\] \[=9\times {{10}^{-4}}\]
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