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Salt Analysis question

2025 · 7 Apr · Shift 1 · Q12
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Salt Analysis question

2025 · 7 Apr · Shift 1 · Q12

JEE MainChemistrySalt AnalysisMCQ+4 / −1
Given below are two statements : Statement I : Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulfate. Statement II : If the molar conductance at infinite dilution for ferrous, ammonium and sulfate ions are x1,x2x_1, x_2x1​,x2​ and x3 S cm2 mol−1x_3 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}x3​ S cm2 mol−1, respectively then the molar conductance for Mohr's salt solution at infinite dilution would be given by x1+x2+2x3x_1+x_2+2 x_3x1​+x2​+2x3​ In the light of the given statements, choose the correct answer from the options given below :
  1. A
    Both Statements I and Statement II are true
  2. B
    Statement I is true but Statement II are false
  3. C
    Both Statements I and Statement II are false
  4. D
    Statement I is false but Statement II is true
View written solutionFree

Correct answer: B

  1. Write the formula of Mohr’s salt

    Mohr’s salt is FeSO4⋅(NH4)2SO4⋅6H2O\mathrm{FeSO_4\cdot (NH_4)_2SO_4\cdot 6H_2O}FeSO4​⋅(NH4​)2​SO4​⋅6H2​O or equivalently, (NH4)2Fe(SO4)2⋅6H2O\mathrm{(NH_4)_2Fe(SO_4)_2\cdot 6H_2O}(NH4​)2​Fe(SO4​)2​⋅6H2​O

  2. Check Statement I

    In aqueous solution, Mohr’s salt dissociates as: (NH4)2Fe(SO4)2→Fe2++2NH4++2SO42−\mathrm{(NH_4)_2Fe(SO_4)_2 \rightarrow Fe^{2+} + 2NH_4^+ + 2SO_4^{2-}}(NH4​)2​Fe(SO4​)2​→Fe2++2NH4+​+2SO42−​

    The water of crystallization does not count as ions.

    So, the ions present are of only three types:

    • Fe2+\mathrm{Fe^{2+}}Fe2+ (ferrous)
    • NH4+\mathrm{NH_4^+}NH4+​ (ammonium)
    • SO42−\mathrm{SO_4^{2-}}SO42−​ (sulfate)

    Therefore, Statement I is true.

  3. Check Statement II

    Let the molar conductance at infinite dilution of ions be:

    • λ∞(Fe2+)=x1\lambda^\infty(\mathrm{Fe^{2+}})=x_1λ∞(Fe2+)=x1​
    • λ∞(NH4+)=x2\lambda^\infty(\mathrm{NH_4^+})=x_2λ∞(NH4+​)=x2​
    • λ∞(SO42−)=x3\lambda^\infty(\mathrm{SO_4^{2-}})=x_3λ∞(SO42−​)=x3​

    By Kohlrausch’s law, the molar conductance at infinite dilution of Mohr’s salt is the sum of ionic conductances multiplied by their stoichiometric coefficients: Λm∞=1⋅x1+2⋅x2+2⋅x3\Lambda_m^\infty = 1\cdot x_1 + 2\cdot x_2 + 2\cdot x_3Λm∞​=1⋅x1​+2⋅x2​+2⋅x3​

    because one formula unit gives: Fe2++2NH4++2SO42−\mathrm{Fe^{2+} + 2NH_4^+ + 2SO_4^{2-}}Fe2++2NH4+​+2SO42−​

    But Statement II says: x1+x2+2x3x_1 + x_2 + 2x_3x1​+x2​+2x3​ which misses one x2x_2x2​ term.

    Therefore, Statement II is false.

  4. Conclusion

    • Statement I: True
    • Statement II: False

    Hence the correct option is: B\boxed{\text{B}}B​

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