MCQEasyJEE 2025Trends in Atomic Radius & Ionisation Energy

JEE Chemistry 2025 Question with Solution

The atomic number of the element from the following with lowest 1st1^{\text{st}} ionization enthalpy is:

  • A

    8787

  • B

    1919

  • C

    3232

  • D

    3535

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The atomic numbers are 8787, 1919, 3232, and 3535.

Find: Which element has the lowest first ionization enthalpy.

Ionization enthalpy decreases down a group because atomic size increases and shielding also increases. Alkali metals have the lowest ionization enthalpy in their respective periods.

The corresponding elements are:

  • 8787 = Francium (Fr)
  • 1919 = Potassium (K)
  • 3232 = Germanium (Ge)
  • 3535 = Bromine (Br)

Among these, Francium and Potassium are Group 11 elements. Within Group 11, first ionization enthalpy decreases down the group.

Therefore,

Fr<K<Ge<Br\text{Fr} < \text{K} < \text{Ge} < \text{Br}

in first ionization enthalpy among the given options.

So the element with the lowest first ionization enthalpy is Francium, whose atomic number is 8787.

The correct option is A.

Periodic Trend Comparison

Given: Atomic numbers 8787, 1919, 3232, and 3535.

Find: The element with minimum first ionization enthalpy.

Concept:

  • First ionization enthalpy is inversely related to atomic size.
  • It decreases down a group.
  • It is generally lower on the left side of the periodic table and higher on the right side.

Now compare the options:

  1. 8787: Francium, Group 11, Period 77
  2. 1919: Potassium, Group 11, Period 44
  3. 3232: Germanium, Group 1414, Period 44
  4. 3535: Bromine, Group 1717, Period 44

Francium is the largest atom among these and belongs to Group 11, so it loses its valence electron most easily.

Hence, the ionization enthalpy order is:

Fr(87)<K(19)<Ge(32)<Br(35)\text{Fr} (87) < \text{K} (19) < \text{Ge} (32) < \text{Br} (35)

Therefore, the required atomic number is 8787 and the correct option is A.

Common mistakes

  • Choosing 1919 because Potassium is also an alkali metal. This is incomplete because first ionization enthalpy decreases further down Group 11. Compare group position as well, not only family name.

  • Assuming larger atomic number always means higher ionization enthalpy. That is incorrect because ionization enthalpy follows periodic trends, not simple atomic number order. Use group and period trends instead.

  • Comparing only period-wise left-to-right trend and ignoring down-the-group decrease. That misses the fact that Francium lies much lower in Group 11 and has a more weakly held valence electron.

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