1.

1.575 g of oxalic acid (COOH)_(2).xH_(2)O are dissolved in water and the volume made up to 250 mL. On titration 16.68 mL of this solution requires 25 mL of N/15 NaOH solution for complete neutralisation. Calculate the value of x.

Answer»

Solution :Molecular mass of oxalic ACID, `(COOH)_2 xH_2O = 24 + 62 + 2 + 18x =90 + 18x`
Since oxalic acid is a dibasic acid, Eq. mass of oxalic acid `=("Molecular mass")/2`
`=(90 + 8x)/2 = 45 + 9x`
Normality of oxalic acid solution can be calculated from the following relation :
`w=(NEV)/1000`
SUBSTITUTING the values, we get
`1.575 =(N xx (45 + 9x) xx 250)/1000`
or `N =(1.575 xx 1000)/((45 + 9x) xx 250) = (6.3)/(45 + 9x)`
According to the normality relation,
`underset("oxalic acid")(N_(1)V_(1)) = underset("NaOH")(N_(2)V_(2))`
`6.3/(45 + 9x) xx 16.68 = 1/15 xx 25`
`45 + 9x = (6.3 xx 16.68 xx 15)/25`
`=63.05 = 63`
`9x = 63 - 45 = 18`
or `x=18/9 =2`


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