Step 1: Understanding Aldol Condensation
- Aldol condensation occurs in aldehydes/ketones that contain at least one \(\alpha\)-hydrogen.
- The \(\alpha\)-hydrogen is removed by a base to form an enolate ion, which then attacks another carbonyl compound.
Step 2: Analyzing the Given Compounds
- \( CH_3CH_2CHO \) (Propionaldehyde) contains an \(\alpha\)-hydrogen, allowing aldol condensation.
- \( CH_2 = CH - CHO \) (Acrolein) and \( CH \equiv C - CHO \) do not easily form enolates due to resonance stabilization.
- \( C_6H_5CHO \) (Benzaldehyde) lacks \(\alpha\)-hydrogen, preventing aldol condensation.
Final Answer: \( CH_3CH_2CHO \) undergoes aldol condensation.
In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be:
Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.