



The question asks: Among the four depicted α,β-unsaturated carbonyl compounds, which one cannot arise as the product of an intramolecular aldol condensation (base-catalyzed cyclization followed by dehydration)?
Intramolecular aldol condensation occurs when a molecule containing two carbonyl groups forms an enolate at the α-position of one carbonyl, which then attacks the other carbonyl intramolecularly to close a ring. The favored ring sizes are 5- and 6-membered due to minimal ring strain. The subsequent dehydration gives a conjugated enone in which the double bond is typically endocyclic and more substituted (thermodynamically most stable):
\[ \text{1,5- or 1,6-dicarbonyl} \xrightarrow[\text{base}]{\text{intra-aldol}} \text{β-hydroxycarbonyl} \xrightarrow{-\mathrm{H_2O}} \text{conjugated endocyclic enone} \]Thus, products are cyclic α,β-enones with the C=C preferably inside the ring (Zaitsev-type, more substituted and better conjugated with \( \mathrm{C=O} \)). Exocyclic methylene enones are disfavored as aldol products because the double bond is less substituted and less stabilized.
Step 1: Evaluate structure (1).
It is a fused bicyclic α,β-enone with the C=C inside the ring. Such skeletons arise from intramolecular aldol of suitably placed 1,6/1,7-dicarbonyls. Hence, (1) is feasible.
Step 2: Evaluate structure (2).
This is an indanone-type α,β-enone (benzannulated 5-membered ring) formed readily from o-acyl/ o-formyl aryl ketones via intramolecular aldol followed by dehydration. Hence, (2) is feasible.
Step 3: Evaluate structure (3).
This is cyclohex-2-en-1-one, a classic product of intramolecular aldol condensation of a 1,6-dicarbonyl (ring closure to a 6-membered β-hydroxyketone followed by dehydration). Hence, (3) is feasible.
Step 4: Evaluate structure (4).
This compound bears an exocyclic methylene (\(=\!CH_2\)) adjacent to the carbonyl, i.e., an exocyclic α,β-unsaturated ketone. Formation of such an exocyclic methylene through simple intramolecular aldol dehydration is disfavored because the more substituted, endocyclic alkene is the thermodynamic product:
\[ \text{β-hydroxyketone} \;\xrightarrow{-\mathrm{H_2O}}\; \underbrace{\text{endocyclic enone}}_{\text{more substituted, more conjugated}} \;\gg\; \underbrace{\text{exocyclic methylene enone}}_{\text{less substituted}} \]Therefore, (4) is not a typical or expected product of intramolecular aldol condensation.
The intramolecular aldol generally furnishes 5/6-membered cyclic α,β-enones with an endocyclic double bond. The only option that contradicts this (exocyclic methylene enone) is (4).
What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)

Cobalt chloride when dissolved in water forms pink colored complex $X$ which has octahedral geometry. This solution on treating with cone $HCl$ forms deep blue complex, $\underline{Y}$ which has a $\underline{Z}$ geometry $X, Y$ and $Z$, respectively, are


What will be the equilibrium constant of the given reaction carried out in a \(5 \,L\) vessel and having equilibrium amounts of \(A_2\) and \(A\) as \(0.5\) mole and \(2 \times 10^{-6}\) mole respectively?
The reaction : \(A_2 \rightleftharpoons 2A\)
A black body is at a temperature of 2880 K. The energy of radiation emitted by this body with wavelength between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3. The Wien's constant, b = 2.88×106 nm-K. Then,