MCQEasyJEE 2023Oxidation States & Ionisation Energies

JEE Chemistry 2023 Question with Solution

In chromyl chloride, the number of d-electrons present on chromium is the same as in:

(Given atomic numbers: Ti = 2222, V = 2323, Cr = 2424, Mn = 2525, Fe = 2626)

  • A

    Fe (III)

  • B

    V (IV)

  • C

    Ti (III)

  • D

    Mn (VII)

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: Chromium in chromyl chloride is in CrO2Cl2\text{CrO}_2\text{Cl}_2.

Find: Which species has the same number of dd-electrons as chromium in chromyl chloride.

For CrO2Cl2\text{CrO}_2\text{Cl}_2, let the oxidation state of chromium be xx.

x+2(2)+2(1)=0x + 2(-2) + 2(-1) = 0

So,

x42=0x - 4 - 2 = 0 x=+6x = +6

Chromium has atomic number 2424, so its ground-state configuration is

Cr=[Ar]3d54s1\text{Cr} = [\text{Ar}]\,3d^5 4s^1

Therefore,

Cr6+=[Ar]3d04s0\text{Cr}^{6+} = [\text{Ar}]\,3d^0 4s^0

So chromium has zero dd-electrons in chromyl chloride.

Now check manganese in Mn (VII)\text{Mn (VII)}. Manganese has atomic number 2525 and configuration

Mn=[Ar]3d54s2\text{Mn} = [\text{Ar}]\,3d^5 4s^2

Hence,

Mn7+=[Ar]3d04s0\text{Mn}^{7+} = [\text{Ar}]\,3d^0 4s^0

So manganese in oxidation state +7+7 also has zero dd-electrons.

Therefore, the number of dd-electrons is the same in chromium of chromyl chloride and Mn (VII). The correct option is D.

Common mistakes

  • Using the neutral chromium configuration directly is incorrect because the question asks about chromium in chromyl chloride, not free chromium. First find the oxidation state, then count the remaining dd-electrons.

  • Removing electrons from 3d3d before 4s4s for transition-metal cations is wrong. For cations, electrons are removed from 4s4s before 3d3d, so Cr6+\text{Cr}^{6+} becomes 3d04s03d^0 4s^0.

  • Confusing oxidation state with number of dd-electrons is incorrect. Two species can have different oxidation states and still end up with the same dd-electron count, so electronic configuration must be checked explicitly.

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