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Question

The concentration of [H+] and concentration of [OH] of a 0.1M aqueous solution of 2% ionised weak acid is:
[Ionic product of water = 1×1014 ]

A
2×103M and 5×1012M
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B
1×103M and 3×1011M
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C
0.02×103M and 5×1011M
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D
3×102M and 4×1013M
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Solution

The correct option is A 2×103M and 5×1012M
The weak acid is 2% ionized.

Hence, the degree of ionization α=2100=0.02.

The concentration of the solution is C=0.1 M.

The hydrogen ion concentration is [H+]=α×C=0.02×0.1=2×103M.

But [H+][OH]=Kw=1014.

Hence, [OH]=10142×103=5×1012M.

Option A is correct.

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