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Some Basic Concepts of Chemistry question

2025 · 4 Apr · Shift 2 · Q22
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Some Basic Concepts of Chemistry question

2025 · 4 Apr · Shift 2 · Q22

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
The amount of calcium oxide produced on heating 150 kg limestone ( 75%75 \%75% pure) is ‾\underline{\hspace{2cm}}​ kg. (Nearest integer) Given: Molar mass (in gmol−1\mathrm{g} \mathrm{mol}^{-1}gmol−1 ) of CaCaCa-40, OOO-16, CCC-12
Numerical answer
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Correct answer: 63

  1. Write the decomposition reaction

    Limestone is mainly calcium carbonate, CaCO3CaCO_3CaCO3​. On heating: CaCO3→CaO+CO2CaCO_3 \rightarrow CaO + CO_2CaCO3​→CaO+CO2​

  2. Find the mass of pure limestone

    Given limestone is 75%75\%75% pure.

    Total mass of sample =150 kg=150\,\text{kg}=150kg

    So, mass of pure CaCO3CaCO_3CaCO3​ is: 150×75100=112.5 kg150 \times \frac{75}{100}=112.5\,\text{kg}150×10075​=112.5kg

  3. Calculate molar masses

    M(CaCO3)=40+12+3(16)=100 g mol−1M(CaCO_3)=40+12+3(16)=100\,\text{g mol}^{-1}M(CaCO3​)=40+12+3(16)=100g mol−1 M(CaO)=40+16=56 g mol−1M(CaO)=40+16=56\,\text{g mol}^{-1}M(CaO)=40+16=56g mol−1

  4. Use stoichiometry

    From the reaction: 100 g of CaCO3 gives 56 g of CaO100\,\text{g of } CaCO_3 \text{ gives } 56\,\text{g of } CaO100g of CaCO3​ gives 56g of CaO

    Therefore, 112.5 kg of CaCO3 gives 112.5×56100112.5\,\text{kg of } CaCO_3 \text{ gives } 112.5\times \frac{56}{100}112.5kg of CaCO3​ gives 112.5×10056​ =63 kg=63\,\text{kg}=63kg

  5. Final answer

    The amount of calcium oxide produced is: 63 kg\boxed{63\,\text{kg}}63kg​

  6. Comparison with stored correct answer

    Stored correct answer = 636363

    My derived answer also is 636363, so they agree.

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