We identify the oxide products formed by alkali metals with excess oxygen and determine their magnetic nature based on the presence of unpaired electrons in the anions.
Step 2: Key Formula or Approach:
- Sodium (Na) + Excess \( \text{O}_2 \to \text{Na}_2\text{O}_2 \) (Peroxide).
- Potassium (K) + Excess \( \text{O}_2 \to \text{KO}_2 \) (Superoxide).
- Magnetic nature depends on Molecular Orbital configuration of \( \text{O}_2^{2-} \) and \( \text{O}_2^{-} \).
Step 3: Detailed Explanation:
Compound X: Sodium Peroxide (\( \text{Na}_2\text{O}_2 \)) contains the peroxide ion \( \text{O}_2^{2-} \).
Total valence electrons = \( 6+6+2 = 14 \) (for the O-O part in MOT diagram context, usually considered 18 total e-).
Configuration: \( \sigma 2s^2 \sigma^* 2s^2 \sigma 2p_z^2 \pi 2p^4 \pi^* 2p^4 \).
All electrons are paired. Hence, Diamagnetic.
Compound Y: Potassium Superoxide (\( \text{KO}_2 \)) contains the superoxide ion \( \text{O}_2^{-} \).
Total valence electrons = \( 6+6+1 = 13 \) (or 17 total e-).
Configuration: \( \dots \pi^* 2p^3 \).
There is one unpaired electron in the antibonding \( \pi \) orbital. Hence, Paramagnetic.
Step 4: Final Answer: