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Practical Organic Chemistry question

2023 · 13 Apr · Shift 1 · Q14
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Practical Organic Chemistry question

2023 · 13 Apr · Shift 1 · Q14

JEE MainChemistryPractical Organic ChemistryNumerical+4 / −1
KMnO4\mathrm{KMnO}_{4}KMnO4​ is titrated with ferrous ammonium sulphate hexahydrate in presence of dilute H2SO4\mathrm{H}_{2} \mathrm{SO}_{4}H2​SO4​. Number of water molecules produced for 2 molecules of KMnO4\mathrm{KMnO}_{4}KMnO4​ is ‾\underline{\hspace{2cm}}​.
Numerical answer
View written solutionFree

Correct answer: 68

  1. Identify the reacting species

In acidic medium, potassium permanganate oxidizes ferrous ion to ferric ion. Ferrous ammonium sulphate hexahydrate is Mohr’s salt: FeSO4⋅(NH4)2SO4⋅6H2O\mathrm{FeSO_4\cdot (NH_4)_2SO_4\cdot 6H_2O}FeSO4​⋅(NH4​)2​SO4​⋅6H2​O Each formula unit provides one Fe2+\mathrm{Fe^{2+}}Fe2+.

  1. Write the ionic redox equation in acidic medium

The standard reaction is: MnO4−+5Fe2++8H+→Mn2++5Fe3++4H2O\mathrm{MnO_4^- + 5Fe^{2+} + 8H^+ \rightarrow Mn^{2+} + 5Fe^{3+} + 4H_2O}MnO4−​+5Fe2++8H+→Mn2++5Fe3++4H2​O

For 2 molecules of KMnO4\mathrm{KMnO_4}KMnO4​, multiply by 2: 2MnO4−+10Fe2++16H+→2Mn2++10Fe3++8H2O\mathrm{2MnO_4^- + 10Fe^{2+} + 16H^+ \rightarrow 2Mn^{2+} + 10Fe^{3+} + 8H_2O}2MnO4−​+10Fe2++16H+→2Mn2++10Fe3++8H2​O

So, from the redox process itself, 8 molecules of water are formed.

  1. Account for water of crystallization from Mohr’s salt

To react with 2 KMnO42\,\mathrm{KMnO_4}2KMnO4​, we need 101010 Fe2+\mathrm{Fe^{2+}}Fe2+ ions, hence 101010 molecules of Mohr’s salt.

Each molecule of Mohr’s salt contains 666 water molecules of crystallization. Thus total water contributed is: 10×6=6010 \times 6 = 6010×6=60

  1. Total number of water molecules produced/present in products side

Including the water formed in the redox reaction and the water released from the hydrated salt: 60+8=6860 + 8 = 6860+8=68

  1. Final answer

The number of water molecules for 222 molecules of KMnO4\mathrm{KMnO_4}KMnO4​ is: 68\boxed{68}68​

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