Step 1: Chromium in the \( Cr^{2+} \) state has an electronic configuration of \( [Ar] 3d^4 \), which is relatively unstable and easily oxidizes to the more stable \( Cr^{3+} \) configuration, \( [Ar] 3d^5 \). This makes \( Cr^{2+} \) a strong reducing agent because it readily loses electrons. On the other hand, \( Mn^{3+} \) has an electronic configuration of \( [Ar] 3d^4 \), which is also unstable. It is prone to gaining electrons to become \( Mn^{2+} \), which has a more stable \( [Ar] 3d^5 \) configuration. Thus, \( Mn^{3+} \) is a strong oxidizing agent because it readily accepts electrons.
Step 2: Thus, the differences in the electronic configurations of \( Cr^{2+} \) and \( Mn^{3+} \) explain why \( Cr^{2+} \) is a strong reducing agent and \( Mn^{3+} \) is a strong oxidizing agent. \bigskip
Which of the following Statements are NOT true about the periodic table?
A. The properties of elements are a function of atomic weights.
B. The properties of elements are a function of atomic numbers.
C. Elements having similar outer electronic configuration are arranged in the same period.
D. An element's location reflects the quantum numbers of the last filled orbital.
E. The number of elements in a period is the same as the number of atomic orbitals available in the energy level that is being filled.
A school is organizing a debate competition with participants as speakers and judges. $ S = \{S_1, S_2, S_3, S_4\} $ where $ S = \{S_1, S_2, S_3, S_4\} $ represents the set of speakers. The judges are represented by the set: $ J = \{J_1, J_2, J_3\} $ where $ J = \{J_1, J_2, J_3\} $ represents the set of judges. Each speaker can be assigned only one judge. Let $ R $ be a relation from set $ S $ to $ J $ defined as: $ R = \{(x, y) : \text{speaker } x \text{ is judged by judge } y, x \in S, y \in J\} $.