Step 1: Furan is an electron-rich five-membered aromatic heterocycle. Its 2- and 5-position hydrogens are most acidic because the resulting carbanion is stabilized by the neighboring oxygen.
Step 2: Butyllithium removes the proton at the 2-position to give 2-lithiofuran plus butane.
Step 3: \[Furan + n\text{-}BuLi \rightarrow 2\text{-lithiofuran} + C_4H_{10}\]
Step 4: The organolithium at the 2-position attacks CO2 to form a lithium carboxylate at that position.
Step 5: \[2\text{-lithiofuran} + CO_2 \rightarrow \text{furan-2-carboxylate lithium salt}\]
Step 6: Acidic workup gives furan-2-carboxylic acid, commonly known as furoic acid.
\[\boxed{\text{Furoic acid (furan-2-carboxylic acid)}}\]