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Question

The self ionization constant for pure formic acid K=[HCOOH+2][HCOO−] has been estimated as 10−6 at room temperature. The density of formic acid is 1.15g/cm3. What percentage of formic acid molecules in pure formic acid are converted to formate ion?

A
0.002%
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B
0.004%
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C
0.006%
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D
0.008%
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Solution

The correct option is B 0.004%
Answer is option B.
Density of formic acid=1.15g/cm3
Weight of formic acid in 1L solution =1.15×103
[HCOOH]=1.15×10346=25M
In case of auto ionisation,
[HCOOH+2][HCOO]=106
[HCOO]=[HCOOH+2]=106
Now % dissociation of HCOOH,
[HCOO]×100[HCOOH]103×10025=0.004%

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