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JEE Main 2007
Exam
JEE Main
Year
2007
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2007 · Chemistry · Some Basic Concepts of Chemistry

The density (in g ~mL^ -1 ) of a 3.60 ~M sulphuric acid solution...

The density (in g mL−1\mathrm{g} \mathrm{~mL}^{-1} ) of a 3.60 M3.60 \mathrm{~M} sulphuric acid solution that is 29% H2SO429 \% ~\mathrm{H}_2 \mathrm{SO}_4 (Molar mass =98 g=98 \mathrm{~g} mol−1\mathrm{mol}^{-1} ) by mass will be

Options

  1. A1.641.64
  2. B1.881.88
  3. C1.221.22
  4. D1.451.45

Correct answer

C. 1.221.22

Step-by-step solution

Let the density of solution be ' d\mathrm{d} ' Molarity of solution given =3.6=3.6 i.e. 11 litre of solution contains 3.63.6 moles of H2SO4\mathrm{H}_2 \mathrm{SO}_4 or 11 litre of solution contains 3.6×98 gms3.6 \times 98 \mathrm{~gms} of H2SO4\mathrm{H}_2 \mathrm{SO}_4 Since, the solution is 29%29 \% by mass. 100 gm100 \mathrm{~gm} solution contains 29 gm H2SO429 \mathrm{~gm} \mathrm{~H}_2 \mathrm{SO}_4 100 dml\frac{100}{\mathrm{~d}} \mathrm{ml} solution contains 29 gm29 \mathrm{~gm} of H2SO4\mathrm{H}_2 \mathrm{SO}_4 1000 ml1000 \mathrm{~ml} solution contains 3.6×98 gm3.6 \times 98 \mathrm{~gm} of H2SO4\mathrm{H}_2 \mathrm{SO}_4 ∴3.6×98=29×d100×1000\therefore 3.6 \times 98=\frac{29 \times \mathrm{d}}{100} \times 1000 d=1.22d=1.22 Hence, (C) is correct.
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