The product X in the following reaction sequence is 

Step 1: $\text{TiCl}_3$, $\text{Zn-Cu}$ (Pinacol Coupling)
This is a reductive coupling reaction. Two molecules of cyclopentanone dimerize at the carbonyl carbons.
Product: $\text{1,1'-Bicyclopentane-1,1'-diol}$ (a bicyclic pinacol).
Step 2: Cold alkaline $\text{KMnO}_4$
While cold $\text{KMnO}_4$ is a mild oxidant, its primary role is often ignored in this specific sequence when followed by acid. The overall transformation is the Pinacol-Pinacolone Rearrangement.
Step 3: $\text{H}_2\text{SO}_4$ (Pinacol-Pinacolone Rearrangement)
The diol (pinacol) undergoes acid-catalyzed rearrangement.
One $\text{OH}$ group is lost as $\text{H}_2\text{O}$ to form a carbocation, followed by a 1,2-alkyl shift (the $\text{C}-\text{C}$ bond linking the two rings migrates).
This migration causes a ring expansion of one 5-membered ring to a 6-membered ring.
Final Product X: A spiroketone: Spiro[5.4]decan-1-one, where a 6-membered ring and a 5-membered ring share a single carbon atom (the ketone carbon).
Answer: (D).
One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ............... 
The number of chiral carbon centers in the following molecule is ............... 
A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is ......... 
An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in A) of the electron is .............