Step 1: Understanding the Question:
This question is about the stability of oxidation states of lanthanides (f-block elements).
We need to identify which pair of lanthanide ions can act as strong reducing agents.
Step 2: Key Formula or Approach:
The most stable and common oxidation state of the lanthanides is +3.
A species acts as a reducing agent if it can easily lose electrons to be oxidized to a higher, more stable oxidation state.
Therefore, lanthanide ions in the +2 state will tend to get oxidized to the +3 state, acting as reducing agents.
Step 3: Detailed Explanation:
• Let us analyze the oxidation states of the options:
• 1. $\text{Eu}^{2+}$ and $\text{Yb}^{2+}$:
Europium (Eu) has the electronic configuration $[\text{Xe}] 4\text{f}^7 6\text{s}^2$. The ion $\text{Eu}^{2+}$ has the stable half-filled configuration $[\text{Xe}] 4\text{f}^7$.
Ytterbium (Yb) has the configuration $[\text{Xe}] 4\text{f}^{14} 6\text{s}^2$. The ion $\text{Yb}^{2+}$ has the stable fully-filled configuration $[\text{Xe}] 4\text{f}^{14}$.
Although $+2$ is a stable state for these ions, the $+3$ state remains the thermodynamic favorite in aqueous solutions.
Thus, $\text{Eu}^{2+}$ and $\text{Yb}^{2+}$ readily lose an electron to form $\text{Eu}^{3+}$ and $\text{Yb}^{3+}$, behaving as strong reducing agents.
• 2. $\text{Ce}^{4+}$ and $\text{Tb}^{4+}$:
These ions are in the $+4$ oxidation state. To reach the stable $+3$ state, they have a strong tendency to gain an electron.
Therefore, they act as strong oxidizing agents, not reducing agents.
• 3. $\text{Gd}^{3+}$, $\text{Lu}^{3+}$, $\text{La}^{3+}$, and $\text{Pm}^{3+}$:
These ions are already in their most stable $+3$ oxidation state and do not show strong reducing or oxidizing behavior under normal conditions.
Step 4: Final Answer:
The pair of ions that act as strong reducing agents is $\text{Eu}^{2+}$ and $\text{Yb}^{2+}$.