A) \[1.0\times {{10}^{-6}}M\]
B) \[1.0525\times {{10}^{-7}}M\]
C) \[9.525\times {{10}^{-8}}M\]
D) \[1.0\times {{10}^{-8}}M\]
Correct Answer: B
Solution :
In aqueous solution of\[{{10}^{-8}}M\,HCl,[{{H}^{+}}]\]is based upon the concentration of\[{{H}^{+}}\]ion of \[{{10}^{-8}}M\,HCl\]and concentration of\[{{H}^{+}}\]ion of water. \[{{k}_{w}}\]of \[{{H}_{2}}O={{10}^{-14}}[{{H}^{+}}][O{{H}^{-}}]\] or\[[{{H}^{+}}]={{10}^{-7}}M\](due to its neutral behaviour) So, in aqueous solution of\[{{10}^{-8}}M\text{ }HCl,\] \[[{{H}^{+}}]=[{{H}^{+}}]\]of\[HCl+[{{H}^{+}}]\]of water \[={{10}^{-8}}+{{10}^{-7}}=11\times {{10}^{-8}}M\] \[=1.10\times {{10}^{-7}}M\] Hence, answer is nearer to [b].
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