Step 1. Recall that 4f7 means half-filled 4 f shell (7 electrons).Step 2. Check each ion(A) Pr3+Praseodymium (Pr) = atomic number 59Neutral configuration: [Xe]4f36s2When it loses 3 electrons → remove 6s2 and one 4f :Pr3+:[Xe]4f2Not 4f7.(B) Lu3+Lutetium (Lu) = atomic number 71Neutral configuration: [Xe]4f145d16s2Removing three electrons →6s2 and 5d1 :Lu3+:[Xe]4f14Not 4f7.(C) Eu2+Europium (Eu)= atomic number 63 Neutral configuration: [Xe]4f76s2Losing two electrons → remove both 6s electrons:Eu2+:[Xe]4f7、 Matches 4f7.(D) Ce4+Cerium (Ce) = atomic number 58Neutral: [Xe]4f15d16s2Losing 4 electrons →4f15d16s2→ remove all →Ce4+:[Xe]Not4f7. Correct Answer: Option C - Eu 2+