Carbonate of which of the following metal does not liberate carbon dioxide on heating:

From the options given lithium and sodium are alkali metals, and magnesium and calcium are alkaline earth metals. So, the alkaline earth metal carbonates can give carbon dioxide easily. From the alkali metal carbonates, only lithium carbonate will give carbon dioxide and lithium oxide because the stability of lithium oxide is more stable the lithium carbonate. Therefore, sodium carbonate will not give carbon dioxide.