A) \[1\times {{10}^{-8}}\]
B) \[1\times {{10}^{-6}}\]
C) \[2\times {{10}^{-10}}\]
D) \[0.5\times {{10}^{-10}}\]
Correct Answer: C
Solution :
\[{{H}^{+}}\] ion concentration \[=1\times {{10}^{-4}}M\] The above solution is diluted with equal volume of water \[\therefore \] \[[{{H}^{+}}]=1\times {{10}^{-4}}/2=0.5\times {{10}^{-4}}\] We know that, at \[{{25}^{o}}C\] \[[{{H}^{+}}][O{{H}^{-}}]=1\times {{10}^{-14}}\] \[\therefore \] \[[O{{H}^{-}}]=\frac{1\times {{10}^{-14}}}{0.5\times {{10}^{-4}}}\] \[=2\times {{10}^{-10}}\]
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