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Question

The self ionisation constant for pure formic acid, K equals open square brackets H C O O H subscript 2 end subscript superscript plus end superscript close square brackets left square bracket H C O O to the power of minus end exponent right square bracket has been estimated as 10 to the power of negative 6 end exponent at 1.22 blank g divided by c m to the power of 3 end exponent. The percentage of formic acid molecules in pure formic acid converted to formate ion is:

  1. 0.002 percent sign  
  2. 0.004 percent sign  
  3. 0.006 percent sign  
  4. 0.008 percent sign  

The correct answer is: 0.004 percent sign


    Given density of formic acid equals 1.22 blank g divided by c m to the power of 3 end exponent
    therefore Weight of formic acid in 1 blank l i t r e solution equals 1.22 cross times 10 to the power of 3 end exponent blank g
    Thus, open square brackets H C O O H close square brackets equals fraction numerator 1.22 cross times 10 to the power of 3 end exponent over denominator 46 end fraction equals 26.5 blank M
    Since in case of auto ionisation open square brackets H C O O H subscript 2 end subscript superscript plus end superscript close square brackets equals open square brackets H C O O to the power of minus end exponent close square brackets
    and open square brackets H C O O to the power of minus end exponent close square brackets open square brackets H C O O H subscript 2 end subscript superscript plus end superscript close square brackets equals 10 to the power of negative 6 end exponent
    therefore blank open square brackets H C O O to the power of minus end exponent close square brackets equals 10 to the power of negative 3 end exponent
    Now percent sign dissociation of H C O O H
    equals fraction numerator left square bracket H C O O to the power of minus end exponent right square bracket cross times 100 over denominator left square bracket H C O O H right square bracket end fraction equals fraction numerator 10 to the power of negative 3 end exponent over denominator 26.5 end fraction cross times 100 equals 0.004 percent sign

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