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Determine the formula and charge of the complex ion formed from Fe3+ and SCN- in equimolar solutions, given maximum color intensity at a 1:1 mole ratio.

Chemistry

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Answer

[Fe(SCN)]2+[Fe(SCN)]^{2+}

Step-by-step solution

5 steps
  1. Understand the term "equimolar solutions".

    "Equimolar solutions" means that the molar concentrations of Fe3+(aq)Fe^{3+}(aq) and SCN−(aq)SCN^{-}(aq) are equal. Let this concentration be C mol/cm3C \text{ mol/cm}^3.

  2. Calculate the moles of Fe3+Fe^{3+} ions used.

    Volume of Fe3+Fe^{3+} ions = 5 cm35 \text{ cm}^3
    Moles of Fe3+=Concentration×Volume=C×5 molFe^{3+} = \text{Concentration} \times \text{Volume} = C \times 5 \text{ mol}

  3. Calculate the moles of SCN−SCN^{-} ions used.

    Volume of SCN−SCN^{-} ions = 5 cm35 \text{ cm}^3
    Moles of SCN−=Concentration×Volume=C×5 molSCN^{-} = \text{Concentration} \times \text{Volume} = C \times 5 \text{ mol}

  4. Determine the mole ratio of Fe3+Fe^{3+} to SCN−SCN^{-} at maximum colour intensity.

    Maximum colour intensity indicates the stoichiometric ratio at which the complex is formed.
    The ratio of moles of Fe3+Fe^{3+} to SCN−SCN^{-} is:

    Moles of Fe3+Moles of SCN−=C×5 molC×5 mol=11\frac{\text{Moles of } Fe^{3+}}{\text{Moles of } SCN^{-}} = \frac{C \times 5 \text{ mol}}{C \times 5 \text{ mol}} = \frac{1}{1}

    This means that one Fe3+Fe^{3+} ion combines with one SCN−SCN^{-} ion to form the complex.

  5. Determine the formula and charge of the complex ion.

    The central metal ion is Fe3+Fe^{3+}.
    The ligand is SCN−SCN^{-}.
    Since the ratio is 1:1, the complex will contain one FeFe and one SCNSCN.
    The charge of the complex is the sum of the charges of the metal ion and the ligand:

    Charge=(+3)+(−1)=+2\text{Charge} = (+3) + (-1) = +2

    Therefore, the formula of the complex ion is [Fe(SCN)]2+[Fe(SCN)]^{2+}.

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