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Some Basic Concepts of Chemistry question

2025 · 4 Apr · Shift 1 · Q23
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Some Basic Concepts of Chemistry question

2025 · 4 Apr · Shift 1 · Q23

JEE MainChemistrySome Basic Concepts of ChemistryNumerical+4 / −1
Fortification of food with iron is done using FeSO4⋅7H2O\mathrm{FeSO}_4 \cdot 7 \mathrm{H}_2 \mathrm{O}FeSO4​⋅7H2​O. The mass in grams of the FeSO4\mathrm{FeSO}_4FeSO4​. 7H2O7 \mathrm{H}_2 \mathrm{O}7H2​O required to achieve 12 ppm of iron in 150 kg of wheat is ‾\underline{\hspace{2cm}}​ (Nearest integer) [Given: Molar mass of Fe,S\mathrm{Fe}, \mathrm{S}Fe,S and and O respectively are 56, 32 and 16 g mol−116 \mathrm{~g} \mathrm{~mol}^{-1}16 g mol−1 ]
Numerical answer
View written solutionFree

Correct answer: 9

  1. Interpret 12 ppm of iron in wheat

For solids, 12 ppm12\,\text{ppm}12ppm means:

12 mg of Fe per kg of wheat12\text{ mg of Fe per kg of wheat}12 mg of Fe per kg of wheat

Given wheat mass =150 kg=150\,\text{kg}=150kg, required iron mass is:

12×150=1800 mg12\times 150=1800\text{ mg}12×150=1800 mg

So,

mFe=1800 mg=1.8 gm_{\text{Fe}}=1800\text{ mg}=1.8\text{ g}mFe​=1800 mg=1.8 g

  1. Find molar mass of FeSO4⋅7H2O\mathrm{FeSO_4\cdot 7H_2O}FeSO4​⋅7H2​O

M(FeSO4)=56+32+4×16=56+32+64=152M(\mathrm{FeSO_4})=56+32+4\times 16=56+32+64=152M(FeSO4​)=56+32+4×16=56+32+64=152

M(7H2O)=7×(2+16)=7×18=126M(7\mathrm{H_2O})=7\times(2+16)=7\times 18=126M(7H2​O)=7×(2+16)=7×18=126

Therefore,

M(FeSO4⋅7H2O)=152+126=278 g mol−1M(\mathrm{FeSO_4\cdot 7H_2O})=152+126=278\,\text{g mol}^{-1}M(FeSO4​⋅7H2​O)=152+126=278g mol−1

  1. Mass fraction of iron in FeSO4⋅7H2O\mathrm{FeSO_4\cdot 7H_2O}FeSO4​⋅7H2​O

One mole of FeSO4⋅7H2O\mathrm{FeSO_4\cdot 7H_2O}FeSO4​⋅7H2​O contains 56 g56\,\text{g}56g of Fe in 278 g278\,\text{g}278g of compound.

So if xxx g of FeSO4⋅7H2O\mathrm{FeSO_4\cdot 7H_2O}FeSO4​⋅7H2​O is needed to supply 1.81.81.8 g Fe:

56278x=1.8\frac{56}{278}x=1.827856​x=1.8

x=1.8×27856x=1.8\times \frac{278}{56}x=1.8×56278​

x=8.9357 gx=8.9357\,\text{g}x=8.9357g

  1. Nearest integer

x≈9 gx\approx 9\,\text{g}x≈9g

Final Answer

9\boxed{9}9​

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