Concept:
Ionisation energy is the minimum energy required to remove the most loosely bound electron from a gaseous atom.
General trends:
Ionisation energy increases across a period from left to right.
It decreases down a group.
Half-filled and fully filled orbitals are more stable and have higher ionisation energy.
Step 1: All given elements belong to the 3rd period of the periodic table.
\[
\text{Al} \rightarrow \text{Si} \rightarrow \text{P} \rightarrow \text{S} \rightarrow \text{Cl}
\]
Across a period, ionisation energy generally increases due to:
Increasing nuclear charge
Decreasing atomic size
Step 2: Exception between phosphorus and sulfur.
Electronic configurations:
\[
\text{P}: [Ne]\,3s^2\,3p^3 \quad (\text{half-filled})
\]
\[
\text{S}: [Ne]\,3s^2\,3p^4
\]
Phosphorus has a half-filled \(3p\)-subshell, which is extra stable.
Sulfur has one paired electron in the \(3p\)-orbital, causing increased electron–electron repulsion.
\[
\therefore \ \text{Ionisation energy of P}>\text{Ionisation energy of S}
\]
Step 3: Final order of ionisation energy:
\[
\text{Cl}>\text{P}>\text{S}>\text{Si}>\text{Al}
\]