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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Redox Reactions

NTA Abhyas 2020 · Chemistry · Redox Reactions

A 2.0 g sample of a mixture containing sodium carbonate, sodium...

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 Na2SO4{\text{Na}}_{2} {\text{SO}}_{4} in the original mixture.

Correct answer

31.50

Step-by-step solution

In 2g sample →\to CO2 Liberated

Moles of CO2 =(750760×123.91000×10.082×1298)=5×10−3= \left(\dfrac{7 5 0}{7 6 0} \times \dfrac{1 2 3 \text{.} 9}{1 0 0 0} \times \dfrac{1}{0 \text{.} 0 8 2} \times \dfrac{1}{2 9 8}\right) = 5 \times 1 {0}^{- 3}

moles = 5 mM ≡10mM≡ 1 0 \text{mM} of NaHCO3 in mixture

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

1.5g sample ≡150×110=15 mM≡ \text{150} \times \dfrac{1}{1 0} = \text{15 mM} of HCl

2.0g sample ≡15×21⋅5=20 mM⋅≡ \text{15} \times \dfrac{2}{1 \cdot 5} = \text{20 mM} \cdot

20 mM HCl will be utilised by

10 mM NaHCO3+5 mM Na2CO3present in 2g sample{\text{NaHCO}}_{3} {+ \text{5 mM Na}}_{2} {\text{CO}}_{3} \text{present in 2g sample}

{\text{NaHCO}}_{3} = \text{10 mM} = \text{10} \times 1 {0}^{- 3} \times 8 4 = \text{0.84g} \left(\text{42%}\right)

Na2CO3=5 mM=5×10−3×106=0.53g={\text{Na}}_{2} {\text{CO}}_{3} = \text{5 mM} = 5 \times 1 {0}^{- 3} \times 1 0 6 = \text{0.53g} =\left(\text{26.5%}\right)<br/><br/><br /><br />{\text{Na}}_{2} {\text{SO}}_{4} = \text{(By difference)} = \text{0.63g} \left(\text{31.5%}\right)
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