MCQMediumJEE 2023Crystal Field Theory

JEE Chemistry 2023 Question with Solution

Provided that below are two statements, one is labelled as Assertion AA and the other is labelled as Reason RR.

Assertion AA : [CoCl(NH3)5]2+[CoCl(NH_3)_5]^{2+} absorbs at lower wavelength of light wrt- [CoCl(NH3)5(H2O)]3+[CoCl(NH_3)_5(H_2O)]^{3+}

Reason RR : It is because the wavelength of the light absorbed depends on the oxidation state of the metal ion.

In the light of the above statements, choose the correct answer from the options Provided that below:

  • A

    Both AA and RR are true but RR is NOT the correct explanation of AA

  • B

    AA is true but RR is false

  • C

    Both AA and RR are true and RR is the correct explanation of AA

  • D

    AA is false but RR is true

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: Assertion compares the wavelength of light absorbed by [CoCl(NH3)5]2+[CoCl(NH_3)_5]^{2+} and [CoCl(NH3)5(H2O)]3+[CoCl(NH_3)_5(H_2O)]^{3+}. Reason states that absorbed wavelength depends on the oxidation state of the metal ion.

Find: Which option correctly evaluates Assertion and Reason.

For coordination compounds, the absorbed light depends on crystal field splitting energy.

ΔCFSE\Delta \propto \text{CFSE}

A larger splitting means absorption of higher energy light.

E=hcλE = \frac{hc}{\lambda}

So, larger Δ\Delta implies smaller λ\lambda.

In [CoCl(NH3)5(H2O)]3+[CoCl(NH_3)_5(H_2O)]^{3+}, the metal is Co3+Co^{3+}, which has greater crystal field splitting than Co2+Co^{2+} in [CoCl(NH3)5]2+[CoCl(NH_3)_5]^{2+}.

Also, H2OH_2O is a stronger field ligand than ClCl^-, so the splitting in [CoCl(NH3)5(H2O)]3+[CoCl(NH_3)_5(H_2O)]^{3+} is further increased.

Therefore, [CoCl(NH3)5(H2O)]3+[CoCl(NH_3)_5(H_2O)]^{3+} absorbs shorter wavelength light than [CoCl(NH3)5]2+[CoCl(NH_3)_5]^{2+}.

Hence, the Assertion is false.

The Reason is true because the oxidation state of the central metal ion does affect the splitting and therefore the wavelength of absorbed light.

Therefore, the correct option is D.

Common mistakes

  • Assuming that only the ligand matters and ignoring the oxidation state is incorrect. Both ligand field strength and metal oxidation state affect crystal field splitting. Compare both before deciding the absorbed wavelength.

  • Thinking that higher crystal field splitting means higher wavelength is wrong. Since E=hcλE = \frac{hc}{\lambda}, higher energy absorption corresponds to shorter wavelength, not longer wavelength.

  • Treating H2OH_2O and ClCl^- as equivalent ligands is incorrect. H2OH_2O is stronger field than ClCl^-, so replacing or comparing complexes without using spectrochemical considerations leads to the wrong conclusion.

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