Identify the formula of compound (B) formed in the following reactions: (i) Lanthanoids (Ln) burn in oxygen forming compound (A). (ii) Compound (A) reacts with excess \(\mathrm{CO_2}\) to form compound (B).
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Lanthanoids predominantly form +3 oxidation state compounds such as oxides \(\mathrm{Ln_2O_3}\) and carbonates \(\mathrm{Ln_2(CO_3)_3}\).
Step 1: Reaction of lanthanoids with oxygen.
Lanthanoids generally exhibit a +3 oxidation state and burn in oxygen to form their oxides:
\[
4\mathrm{Ln} + 3\mathrm{O_2} \rightarrow 2\mathrm{Ln_2O_3}
\]
Step 2: Reaction of oxide with carbon dioxide.
Basic metal oxides react with excess \(\mathrm{CO_2}\) to form metal carbonates.