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Some Basic Concepts of Chemistry question

2024 · 29 Jan · Shift 1 · Q22
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Some Basic Concepts of Chemistry question

2024 · 29 Jan · Shift 1 · Q22

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
A solution of H2SO4\mathrm{H}_2 \mathrm{SO}_4H2​SO4​ is 31.4%H2SO431.4 \% \mathrm{H}_2 \mathrm{SO}_431.4%H2​SO4​ by mass and has a density of 1.25 g/mL1.25 \mathrm{~g} / \mathrm{mL}1.25 g/mL. The molarity of the H2SO4\mathrm{H}_2 \mathrm{SO}_4H2​SO4​ solution is ‾\underline{\hspace{2cm}}​M\mathrm{M}M(nearest integer) [Given molar mass of H2SO4=98 g mol−1\mathrm{H}_2 \mathrm{SO}_4=98 \mathrm{~g} \mathrm{~mol}^{-1}H2​SO4​=98 g mol−1]
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Correct answer: 4

  1. Given data

    • Mass percent of H2SO4\mathrm{H_2SO_4}H2​SO4​ = 31.4%31.4\%31.4%
    • Density of solution = 1.25 g/mL1.25\,\mathrm{g/mL}1.25g/mL
    • Molar mass of H2SO4\mathrm{H_2SO_4}H2​SO4​ = 98 g/mol98\,\mathrm{g/mol}98g/mol
  2. Take 1 litre of solution Since molarity is moles per litre, consider 1000 mL1000\,\mathrm{mL}1000mL of solution.

    Mass of 111 L solution: 1000×1.25=1250 g1000 \times 1.25 = 1250\,\mathrm{g}1000×1.25=1250g

  3. Find mass of H2SO4\mathrm{H_2SO_4}H2​SO4​ in this solution Since the solution is 31.4%31.4\%31.4% by mass, Mass of H2SO4=31.4100×1250\text{Mass of } \mathrm{H_2SO_4} = \frac{31.4}{100} \times 1250Mass of H2​SO4​=10031.4​×1250 =392.5 g= 392.5\,\mathrm{g}=392.5g

  4. Convert mass into moles Moles of H2SO4=392.598\text{Moles of } \mathrm{H_2SO_4} = \frac{392.5}{98}Moles of H2​SO4​=98392.5​ =4.0051≈4.01= 4.0051\approx 4.01=4.0051≈4.01

  5. Calculate molarity Since this is in 111 litre of solution, Molarity=4.01 M\text{Molarity} = 4.01\,\mathrm{M}Molarity=4.01M

  6. Nearest integer 4\boxed{4}4​

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