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Given below are two statements: Statement I: Mohr's salt is composed of only three types of ions — ferrous, ammonium…

Electrochemistry · Class 12 · JEE Main Previous Year Question

Question

Given below are two statements:

Statement I: Mohr's salt is composed of only three types of ions — ferrous, ammonium and sulphate. Statement II: If the molar conductan\ce at infinite dilution of ferrous, ammonium and sulphate ions are x1x_1, x2x_2 and x3x_3 S cm2^2 mol1^{-1}, respectively then the molar conductan\ce for Mohr's salt solution at infinite dilution would be given by x1+x2+2x3x_1 + x_2 + 2x_3.

In the light of the given statements, choose the correct answer from the options given below:

Options
  1. a

    Both statements I and Statement II are false

  2. b

    Statement I is false but Statement II is true

  3. c

    Statement I is true but Statement II is false

  4. d

    Both statements I and Statement II are true

Correct Answerc

Statement I is true but Statement II is false

Detailed Solution

Strategy: Identify the components of Mohr's salt and apply Kohlrausch's Law of independent migration of ions. Sum the molar ionic conductivities multiplied by their stoichiometric coefficients.

Step 1: Identify Mohr's Salt Formula: \ce(NH4)2Fe(SO4)2.6H2O\ce{(NH4)_2Fe(SO4)_2.6H2O} Ions produ\ced in solution: \ce(NH4)2Fe(SO4)2Fe2++2NH4++2SO42\ce{(NH4)_2Fe(SO4)_2 \rightarrow Fe^{2+} + 2NH_4^+ + 2SO_4^{2-}} Types of ions: Ferrous (\ceFe2+\ce{Fe^{2+}}), Ammonium (\ceNH4+\ce{NH4^+}), and Sulphate (\ceSO42\ce{SO4^{2-}}). Statement I is Correct. ✓

Step 2: Apply Kohlrausch's Law Λm0=1λ\ceFe2++2λ\ceNH4++2λ\ceSO42\Lambda_m^0 = 1 \cdot \lambda_{\ce{Fe^{2+}}} + 2 \cdot \lambda_{\ce{NH4^+}} + 2 \cdot \lambda_{\ce{SO4^{2-}}} Using given variables: Λm0=x1+2x2+2x3\Lambda_m^0 = x_1 + 2x_2 + 2x_3 Statement II claims x1+x2+2x3x_1 + x_2 + 2x_3, which is Incorrect (missing the factor of 2 for Ammonium).

Answer: (c) Statement I is true but Statement II is false\boxed{\text{Answer: (c) Statement I is true but Statement II is false}}

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