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Q. Assertion : $BaCO_3$ is more soluble in $HNO_3$ than in plain water.
Reason : Carbonate is a weak base and reacts with the $H^+$ from the strong acid, causing the barium salt to dissociate.

AIIMSAIIMS 2003The p-Block Elements - Part2

Solution:

$BaCO_3 + 2HNO_3 \rightarrow Ba(NO_3 )_ 2 + H_2O + CO_2$