MCQEasyJEE 2026Oxidation States & Ionisation Energies

JEE Chemistry 2026 Question with Solution

Given below are two statements:

Statement I: The first ionization enthalpy of Cr is lower than that of Mn.

Statement II: The second and third ionization enthalpies of Cr are higher than those of Mn.

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

  • A

    Both Statement I and Statement II are true

  • B

    Statement I is true but Statement II is false

  • C

    Statement I is false but Statement II is true

  • D

    Both Statement I and Statement II are false

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: Two statements compare the ionization enthalpies of Cr and Mn.

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

Step 1: Analyze Statement I. Electronic configurations are

Cr: [Ar]3d54s1,Mn: [Ar]3d54s2\text{Cr: } [Ar] \, 3d^5 \, 4s^1, \quad \text{Mn: } [Ar] \, 3d^5 \, 4s^2

In chromium, removal of one electron leads to the particularly stable half-filled 3d53d^5 configuration. Hence, the first ionization enthalpy of Cr is lower than that of Mn. Therefore, Statement I is true.

Step 2: Analyze Statement II. After the first ionization, chromium forms Cr+\text{Cr}^+ with configuration 3d53d^5, which is highly stable. Removing the second and third electrons from this stable half-filled 3d53d^5 configuration requires more energy.

In contrast, manganese does not gain such exceptional stability after the first ionization. Therefore, the second and third ionization enthalpies of Cr are higher than those of Mn. Hence, Statement II is also true.

Conclusion: Both Statement I and Statement II are true. Therefore, the correct option is A.

Stability of Half-Filled Subshells

Given: The comparison is based on successive ionization enthalpies of transition elements Cr and Mn.

Find: Use electronic configuration stability to judge both statements.

A half-filled subshell has extra stability. Chromium has configuration

[Ar]3d54s1[Ar] \, 3d^5 \, 4s^1

while manganese has configuration

[Ar]3d54s2[Ar] \, 3d^5 \, 4s^2

For the first ionization, chromium loses its single 4s4s electron and reaches the especially stable half-filled 3d53d^5 state. That makes removal of the first electron easier for Cr than for Mn.

After this first removal, chromium becomes Cr+\text{Cr}^+ with stable 3d53d^5 configuration. Any further electron removal disturbs this stability, so the second and third ionization enthalpies become comparatively higher.

Thus, Statement I is true and Statement II is true, so the correct option is A.

Common mistakes

  • Assuming ionization enthalpy always increases regularly across the period is incorrect because transition elements show exceptions due to extra stability of half-filled subshells. Check the resulting electronic configuration after electron removal.

  • Comparing only the neutral atoms is wrong for second and third ionization enthalpies. For successive ionizations, examine the configuration of the ion formed after each previous removal.

  • Thinking that manganese must always have higher stability because it has 4s24s^2 is incorrect here. The key stability factor is the half-filled 3d53d^5 configuration obtained by chromium after first ionization.

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