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JEE Mains Chemistry · Classification of Elements and Periodicity

Ionization Enthalpy

Ionization enthalpy is the energy needed to remove the most loosely held electron from an isolated gaseous atom; it rises across a period with two dips, falls down a group with a few exceptions, and jumps sharply once the valence electrons are gone.

Why this matters

Twenty-seven PYQs, the largest page, twenty-six of them multiple choice, and nine from 2026. Fifteen rank the first ionization enthalpies of a period, where the marks go on the two dips; four compare elements down groups 13 and 14; eight use second and later ionization enthalpies, to name a group from a jump or to find the energy for a mass of atoms.

Concept 1 of 3: First ionization enthalpy across a period

Across a period the nuclear charge rises on the same shell, so electrons get harder to pull off. The rise is broken twice. Group 13 dips below group 2, because its first p electron is held less tightly than an s electron. Group 16 dips below group 15, because its fourth p electron shares an orbital and is pushed out by the partner.

Definition

  • ΔiH\Delta_i H is always positive: removing an electron always takes energy.
  • Across a period: rises overall, from the alkali metal (lowest) to the noble gas (highest).
  • Dip 1, group 2 > group 13: Be > B and Mg > Al; a 2p2p electron penetrates less than a 2s2s electron.
  • Dip 2, group 15 > group 16: N > O and P > S; the half-filled np3np^3 is stable and the paired electron in np4np^4 is repelled.
  • Period 2 in order: Li < B < Be < C < O < N < F < Ne.
  • Period 3 in order: Na < Al < Mg < Si < S < P < Cl < Ar.
GroupPeriod 2 (kJ mol⁻¹)Period 3 (kJ mol⁻¹)Why
1Li 520Na 496One s electron outside a noble-gas core: lowest in the period
2Be 899Mg 737Filled ns2ns^2 subshell
13B 801Al 577Dip: the lone npnp electron is less penetrating
Group 13 sits BELOW group 2. The option with a smooth rise (Be < B) is the trap.
14C 1086Si 786Rises again
15N 1402P 1012Half-filled np3np^3: extra stable
16O 1314S 1000Dip: pairing in np4np^4 adds repulsion
Group 16 sits BELOW group 15: N > O and P > S.
17F 1681Cl 1256Rises again
18Ne 2080Ar 1520Filled shell: highest in the period
Read down each column for the period order; the two amber rows are the exceptions every question tests.
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The same idea in a real exam question:

JEE Mains · 2026 · 23 Jan 2026 Shift 1 · Q28Moderate

Example 1 · Classification of Elements and Periodicity · Ionization Enthalpy

The correct trend in the first ionization enthalpies of the elements in the 3rd 3^{\text{rd~}} period of periodic table is:

The smooth order is the wrong option

Li < Be < B < C < N < O < F looks right and is always offered. It misses both dips. The true order swaps two pairs: Li < B < Be < C < O < N < F.

Concept 2 of 3: Down a group, and where it fails

Down a group the outer electron sits in a bigger shell, so it is easier to remove. After the d and f subshells fill, though, those inner electrons shield the nucleus badly. The heavier element then holds its outer electrons more tightly than expected, and the trend stalls or reverses.

Definition

  • Groups 1, 2 and 18 fall steadily: Li > Na > K; Rn is the lowest noble gas.
  • Group 13: Ga (579) is just above Al (577) because of ten poorly shielding 3d3d electrons; Tl (589) is above In (558) because of the 4f4f electrons.
  • Second ionization enthalpy in group 13 follows B > Ga > Al.
  • Group 14: Pb (715) is above Sn (708); the order is C > Si > Ge > Pb > Sn.
  • Across period 4, Zn (906, filled 3d104s23d^{10}4s^2) is far above Ga (579).
GroupFirst ionization enthalpy (kJ mol⁻¹)Order and exception
1Li 520, Na 496, K 419, Rb 403, Cs 376Steady fall
2Be 899, Mg 737, Ca 590, Sr 549, Ba 503Steady fall
13B 801, Al 577, Ga 579, In 558, Tl 589B > Tl > Ga > Al > In
Ga is not below Al, and Tl is above both.
13, secondB 2427, Al 1816, Ga 1979, In 1820, Tl 1971B > Ga > Tl > In > Al
14C 1086, Si 786, Ge 761, Sn 708, Pb 715C > Si > Ge > Pb > Sn
Pb is above Sn.
18He 2372, Ne 2080, Ar 1520, Kr 1351, Xe 1170, Rn 1037Steady fall; Rn lowest
The exceptions appear only after a filled d or f subshell: from Ga, Tl and Pb onwards.
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The same idea in a real exam question:

JEE Mains · 2025 · 24 Jan 2025 · Q115Moderate

Example 2 · Classification of Elements and Periodicity · Ionization Enthalpy

Given below are two statements : Statement (I): The first ionization energy of Pb is greater than that of Sn Statement(II) : The first ionization energy of Ge is greater than that of Si . In the light of the above statements, choose the correct answer from the options given below :

A simple fall down group 13 or 14 is wrong

An order like Al > Ga or Sn > Pb applies the group rule blindly. Poor shielding by d and f electrons lifts Ga and Pb. Check these two pairs before choosing.

Concept 3 of 3: Successive ionization enthalpies and the energy for a mass

Each electron removed leaves a more positive ion, so the next one is harder to pull off: IE₂ is always larger than IE₁. Once all the valence electrons are gone, the next one comes from a noble-gas core, and the value jumps several times over. The position of that jump counts the valence electrons.

Definition

  • ΔiH1<ΔiH2<ΔiH3<…\Delta_i H_1 < \Delta_i H_2 < \Delta_i H_3 < \dots, all positive.
  • A large jump between ΔiHk\Delta_i H_k and ΔiHk+1\Delta_i H_{k+1} means kk valence electrons: group kk for s-block, group 10+k10 + k for p-block.
  • Second ionization enthalpies compare the M+\mathrm{M^+} ions: Na > Mg, because Na+\mathrm{Na^+} has a neon core; for C, N, O, F the order is C < N < F < O, because O+\mathrm{O^+} is a half-filled 2p32p^3.
  • Ca has a very high third ionization enthalpy: Ca2+\mathrm{Ca^{2+}} has the argon configuration.
  • Energy for a given mass = moles × the sum of the enthalpies for the electrons removed.

Energy to ionize a mass of gaseous atoms

E=mM (ΔiH1+ΔiH2+… )E = \frac{m}{M}\,\left(\Delta_i H_1 + \Delta_i H_2 + \dots\right)
  • mmass of the gaseous atoms, in g
  • Mmolar mass, in g mol⁻¹

Worked example

An element's first four ionization enthalpies are 577, 1816, 2744 and 11577 kJ mol⁻¹. Find its group and the ion it forms.
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

JEE Mains · 2021 · Paper 6 · Q34Moderate

Example 3 · Classification of Elements and Periodicity · Ionization Enthalpy

Identify the elements XX and YY using the ionisation energy values (kJ/mol) given below:
Element1st IE2nd IE
X4954563
Y7311450

Negative or smaller second values

Options such as −856 kJ mol⁻¹ or 590 kJ mol⁻¹ for the second ionization enthalpy of Mg are impossible. The second value must be positive and larger than 737.

Second ionization compares the cations

For IE₂, look at the ion that loses the electron. O+\mathrm{O^+} is 2p32p^3 and N+\mathrm{N^+} is 2p22p^2, so the dip moves one place: O is above F for IE₂, the reverse of the first ionization order.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Formulas (1)

Reference tables (2)

First ionization enthalpy across a period8 rows
GroupPeriod 2 (kJ mol⁻¹)Period 3 (kJ mol⁻¹)Why
1Li 520Na 496One s electron outside a noble-gas core: lowest in the period
2Be 899Mg 737Filled ns2ns^2 subshell
13B 801Al 577Dip: the lone npnp electron is less penetrating
Group 13 sits BELOW group 2. The option with a smooth rise (Be < B) is the trap.
14C 1086Si 786Rises again
15N 1402P 1012Half-filled np3np^3: extra stable
16O 1314S 1000Dip: pairing in np4np^4 adds repulsion
Group 16 sits BELOW group 15: N > O and P > S.
17F 1681Cl 1256Rises again
18Ne 2080Ar 1520Filled shell: highest in the period
Read down each column for the period order; the two amber rows are the exceptions every question tests.
Down a group, and where it fails6 rows
GroupFirst ionization enthalpy (kJ mol⁻¹)Order and exception
1Li 520, Na 496, K 419, Rb 403, Cs 376Steady fall
2Be 899, Mg 737, Ca 590, Sr 549, Ba 503Steady fall
13B 801, Al 577, Ga 579, In 558, Tl 589B > Tl > Ga > Al > In
Ga is not below Al, and Tl is above both.
13, secondB 2427, Al 1816, Ga 1979, In 1820, Tl 1971B > Ga > Tl > In > Al
14C 1086, Si 786, Ge 761, Sn 708, Pb 715C > Si > Ge > Pb > Sn
Pb is above Sn.
18He 2372, Ne 2080, Ar 1520, Kr 1351, Xe 1170, Rn 1037Steady fall; Rn lowest
The exceptions appear only after a filled d or f subshell: from Ga, Tl and Pb onwards.

Watch out for (4)

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