MCQEasyJEE 2024Lanthanides & Actinides

JEE Chemistry 2024 Question with Solution

Given below are two statements: Statement (I): In the Lanthanides, the formation of Ce4+\text{Ce}^{4+} is favored by its noble gas configuration. Statement (II): Ce4+\text{Ce}^{4+} is a strong oxidant reverting to the common +3+3 state. Choose the correct option:

  • A

    Statement I is false but Statement II is true

  • B

    Both Statement I and Statement II are true

  • C

    Statement I is true but Statement II is false

  • D

    Both Statement I and Statement II are false

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: Two statements about Ce4+\text{Ce}^{4+} in lanthanides.

Find: Which option correctly identifies the truth values of Statement I and Statement II.

For Statement I: Cerium has atomic number 5858 and its electronic configuration is

[Xe]4f15d16s2[\text{Xe}]4f^15d^16s^2

On forming Ce4+\text{Ce}^{4+}, four electrons are removed, giving

[Xe][\text{Xe}]

This is a noble gas configuration, so the formation of Ce4+\text{Ce}^{4+} is favored. Therefore, Statement I is true.

For Statement II: Ce4+\text{Ce}^{4+} readily reverts to the more common Ce3+\text{Ce}^{3+} state and therefore behaves as a strong oxidizing agent. Hence, Statement II is also true.

So, both statements are true. The solution also explains that although one header marks option A, the written conclusion states both Statement I and Statement II are true, which matches option B in the given options.

Therefore, the correct option is B.

Electronic Configuration Basis

Given: Statements about stability and oxidizing nature of Ce4+\text{Ce}^{4+}.

Find: The correct option.

Cerium in elemental form is written as

[Xe]4f15d16s2[\text{Xe}]4f^15d^16s^2

When it forms Ce4+\text{Ce}^{4+}, it loses four electrons and becomes

[Xe][\text{Xe}]

Since this is a noble gas configuration, Statement I is true.

Also, Ce4+\text{Ce}^{4+} has a strong tendency to gain an electron and convert to Ce3+\text{Ce}^{3+}. That is why the Ce4+/Ce3+\text{Ce}^{4+}/\text{Ce}^{3+} couple behaves as a strong oxidizing agent. Hence, Statement II is true.

Therefore, both Statement I and Statement II are true, so the correct option is B.

Common mistakes

  • Assuming that the header saying option A must be correct. This is wrong because the detailed written solution concludes that both statements are true, which matches option B in the listed choices. Always trust the worked explanation over a mislabeled option marker.

  • Thinking Ce4+\text{Ce}^{4+} is unstable, so Statement I must be false. This is wrong because Statement I is about why Ce4+\text{Ce}^{4+} formation is favored: it attains the noble gas configuration [Xe][\text{Xe}]. Distinguish electronic configuration stability from relative commonness of oxidation states.

  • Confusing 'strong oxidant' with 'stable oxidation state'. Ce4+\text{Ce}^{4+} is a strong oxidizing agent precisely because it tends to get reduced to the more common Ce3+\text{Ce}^{3+} state. Use reduction tendency correctly when judging oxidizing strength.

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