Medium MCQ +4 / -1 PYQ · JEE Mains 2023

Match List I with List II

List - I
Complex
List - II
Crystal Field splitting energy ($\Delta_0$)
A. ${[Ti{({H_2}O)_6}]^{2 + }}$ I. $-1.2$
B. ${[V{({H_2}O)_6}]^{2 + }}$ II. $-0.6$
C. ${[Mn{({H_2}O)_6}]^{3 + }}$ III. 0
D. ${[Fe{({H_2}O)_6}]^{3 + }}$ IV. $-0.8$

Choose the correct answer from the options given below:

  1. A A-IV, B-I, C-II, D-III Correct answer
  2. B A-II, B-IV, C-III, D-I
  3. C A-II, B-IV, C-I, D-III
  4. D A-IV, B-I, C-III, D-II

Solution

$$ \begin{aligned} & \text{(A)} ~~ {\left[\mathrm{Ti}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}} \\\\ & \mathrm{Ti}^{2+} \Rightarrow 3 \mathrm{~d}^2 4 \mathrm{~s}^0 \\\\ & \mathrm{t}_{2 \mathrm{~g}} \mathrm{e}^{-}=2 \\\\ & \mathrm{e}_{\mathrm{g}} \mathrm{e}^{-}=0 \\\\ & \mathrm{CFSE}=[-0.4 \times 2+0.6 \times 0] \Delta_0 \\\\ & \quad=-0.8 \Delta \end{aligned} $$ <br/><br/> $$ \begin{aligned} & \text{(B)} ~~ {\left[\mathrm{V}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{2+}} \\\\ & \mathrm{V}^{2+} \Rightarrow 3 \mathrm{~d}^3 4 \mathrm{~s}^0 \\\\ & \mathrm{t}_{2 \mathrm{~g}} \mathrm{e}^{-}=3 \\\\ & \mathrm{e}_{\mathrm{g}} \mathrm{e}^{-}=0 \\\\ & \mathrm{CFSE}=[-0.4 \times 3+0.6 \times 0] \Delta_0 \\\\ & =-1.2 \Delta_0 \end{aligned} $$ <br/><br/> $$ \begin{aligned} & \text{(C)} ~~{\left[\mathrm{Mn}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}} \\\\ & \mathrm{Mn}^{3+} \Rightarrow 3 \mathrm{~d}^4 4 \mathrm{~s}^0 \\\\ & \mathrm{t}_{2 \mathrm{~g}} \mathrm{e}^{-}=3 \\\\ & \mathrm{e}_{\mathrm{g}} \mathrm{e}^{-}=1 \\\\ & \mathrm{CFSE}=[-0.4 \times 3+0.6 \times 1] \Delta_0 \\\\ & =-0.6 \Delta_0 \end{aligned} $$<br/><br/> $$ \begin{aligned} & \text{(D)} ~~{\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_6\right]^{3+}} \\\\ & \mathrm{Fe}^{3+} \Rightarrow 3 \mathrm{~d}^5 4 \mathrm{~s}^0 \\\\ & \mathrm{t}_{2 \mathrm{~g}} \mathrm{e}^{-}=3 \quad \mathrm{e}_{\mathrm{g}}=2 \\\\ & \mathrm{CFSE}=[-0.4 \times 3+0.6 \times 2] \Delta_0 \\\\ & \quad=0 \Delta_0 \end{aligned} $$

About this question

Subject: Chemistry · Chapter: Coordination Compounds · Topic: Ligands and Coordination Number

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