JEE Advanced · Chemistry · 23. Coordination Compounds

LIST- $I$ contains metal species and LIST- $II$ contains their properties.
List - I List - II
(I) $\left[ Cr ( CN )_6\right]^{4-}$ (P) $t _{2 g}$ orbitals contain 4 electrons
(II) $\left[ RuCl _6\right]^{2-}$ (Q) $\mu$ spin - only $=4.9$ BM
(III) $\left[ Cr \left( H _2 O \right)_6\right]^{2+}$ (R) low spin complex ion
(IV) $\left[ Fe \left( H _2 O \right)_6\right]^{2+}$ (S) metal ion in 4 + oxidation state
(T) $d ^4$ species

[Given: Atomic number of $Cr = 24, Ru = 44, Fe = 26$ ]
Match each metal species in LIST- $I$ with their properties in LIST- $II$ , and choose the correct option

A $I \to R, T; II \to P, S; III \to Q, T; IV \to P, Q$
B $I \to R, S; II \to P, T; III \to P, Q; IV \to Q, T$
C $I \to P, R; II \to R, S; III \to R, T; IV \to P, T$
D $I \to Q, T; II \to S, T; III \to P, T; IV \to Q, R$

Verified Solution

Answer & Solution

Correct Answer

(A) $I \to R, T; II \to P, S; III \to Q, T; IV \to P, Q$

Step-by-step Solution

Detailed explanation

(I) {[Cr {(CN)}_{6}]}^{4 -}

{Cr}^{2} = [Ar] 3 d^{4} 4 s^{0}

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P-V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic process. Here

γ

is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas in n.

Column – 1	Column – 2	Column – 3
(I) $W_{1 \rightarrow 2}=$ $\frac{1}{\gamma-1}\left(P_2 V_2-P_1 V_1\right)$	(i) Isothermal	(P)
(II) $W_{1 \rightarrow 2}=$ $-P V_2+P V_1$	(ii) Isochoric	(Q)
(III) $W_{1 \rightarrow 2}=0$	(iii) Isobaric	(R)
(IV) $W_{1 \rightarrow 2}=$$-n R T \ln \left(\frac{V_2}{V_1}\right)$	(iv) Adiabatic	(S)

Which one of the following options correctly represents a thermodynamic process that is used as a correction in the determination of the speed of sound in ideal gas?

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List - I	List - II
(I) \(\left[ Cr ( CN )_6\right]^{4-}\)	(P) \(t _{2 g}\) orbitals contain 4 electrons
(II) \(\left[ RuCl _6\right]^{2-}\)	(Q) \(\mu\) spin - only \(=4.9\) BM
(III) \(\left[ Cr \left( H _2 O \right)_6\right]^{2+}\)	(R) low spin complex ion
(IV) \(\left[ Fe \left( H _2 O \right)_6\right]^{2+}\)	(S) metal ion in 4 + oxidation state
	(T) \(d ^4\) species