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A 2.0 g sample of a mixture containing sodium carbonate, sodium bicarbonate and sodium sulphate is gently heated till the evolution of CO2 ceases. The volume of CO2 at 750 mm Hg pressure and at 298 K is measured to be 123.9 mL.  A 1.5 g of the same sample requires 150 mL of (M/10) HCl for complete neutralization. Calculate the percentage composition of Na 2 SO 4 in the original mixture.
ChemistryRedox ReactionsJEE Main
Solution:
2730 Upvotes Verified Answer
The correct answer is: 31.50
In 2g sample CO2 Liberated

Moles of CO2 = 7 5 0 7 6 0 × 1 2 3 . 9 1 0 0 0 × 1 0 . 0 8 2 × 1 2 9 8 = 5 × 1 0 - 3

moles = 5 mM 1 mM of NaHCO3 in mixture

Moles of NaHCO3 in 2g sample = 2 x 5 x 10 mM

1.5g sample 150 × 1 1 0 = 15 mM of HCl

2.0g sample 15 × 2 1 · 5 = 20 mM ·

20 mM HCl will be utilised by

10 mM NaHCO 3 5 mM Na 2 CO present in 2g sample

NaHCO 3 = 10 mM = 10 × 1 0 - 3 × 8 4 = 0.84g  42%

Na 2 CO 3 = 5 mM = 5 × 1 0 - 3 × 1 0 6 = 0.53g = 26.5%

Na 2 SO 4 = (By difference)  = 0.63g  31.5%

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