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Coordination Compounds question

2014 · Shift 0 · Q18
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Coordination Compounds question

2014 · Shift 0 · Q18

JEE MainChemistryCoordination CompoundsMCQ+4 / −1
The octahedral complex of a metal ion M3+M^{3+}M3+ with four monodentate ligands L1L_1L1​, L2L_2L2​, L3L_3L3​ and L4L_4L4​ absorb wavelengths in the region of red, green, yellow and blue, respectively. The increasing order of ligand strength of the four ligands is :
  1. A
    L3L_3L3​ < L2L_2L2​ < L4L_4L4​ < L1L_1L1​
  2. B
    L1L_1L1​ < L2L_2L2​ < L4L_4L4​ < L3L_3L3​
  3. C
    L4L_4L4​ < L3L_3L3​ < L2L_2L2​ < L1L_1L1​
  4. D
    L1L_1L1​ < L3L_3L3​ < L2L_2L2​ < L4L_4L4​
View written solutionFree

Correct answer: D

  1. For an octahedral complex, the crystal field splitting energy Δo\Delta_oΔo​ is related to the absorbed light by
Δo=hν=hcλ\Delta_o = h\nu = \frac{hc}{\lambda}Δo​=hν=λhc​

So, smaller wavelength means higher energy absorbed, hence larger Δo\Delta_oΔo​.

  1. Stronger ligands produce larger crystal field splitting. Therefore:
  • larger Δo\Delta_oΔo​ ⇒\Rightarrow⇒ stronger ligand
  • smaller Δo\Delta_oΔo​ ⇒\Rightarrow⇒ weaker ligand
  1. Given absorptions:
  • L1L_1L1​ absorbs red
  • L2L_2L2​ absorbs green
  • L3L_3L3​ absorbs yellow
  • L4L_4L4​ absorbs blue

Now use the approximate wavelength order in visible light:

λ(red)>λ(yellow)>λ(green)>λ(blue)\lambda(\text{red}) > \lambda(\text{yellow}) > \lambda(\text{green}) > \lambda(\text{blue})λ(red)>λ(yellow)>λ(green)>λ(blue)

Hence energy order is opposite:

E(red)<E(yellow)<E(green)<E(blue)E(\text{red}) < E(\text{yellow}) < E(\text{green}) < E(\text{blue})E(red)<E(yellow)<E(green)<E(blue)

Therefore crystal field splitting order is:

Δo(L1)<Δo(L3)<Δo(L2)<Δo(L4)\Delta_o(L_1) < \Delta_o(L_3) < \Delta_o(L_2) < \Delta_o(L_4)Δo​(L1​)<Δo​(L3​)<Δo​(L2​)<Δo​(L4​)
  1. Since ligand strength increases with Δo\Delta_oΔo​, the increasing order of ligand strength is
L1<L3<L2<L4L_1 < L_3 < L_2 < L_4L1​<L3​<L2​<L4​
  1. Checking options:
  • A: incorrect
  • B: incorrect
  • C: incorrect
  • D: correct

Therefore, the correct answer is Option D.

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