For the Diels-Alder reactions I–IV, the activation barriers follow the order 
The question involves determining the order of activation barriers for the given Diels-Alder reactions I–IV. The Diels-Alder reaction is a [4+2] cycloaddition reaction between a conjugated diene and a dienophile. The activation barrier is influenced by the electron density of the diene and the electron-withdrawing nature of the dienophile. Let’s analyze each reaction:
Conclusion:
The order of activation barriers is influenced by the nature of the diene and dienophile, wherein the dienes with heteroatoms like sulfur and nitrogen exhibit higher activation barriers due to less effective π-system overlap and aromatic stability. The order from highest to lowest activation barrier is:
Thus, the activation barriers follow the order: III > IV > II > I.
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 ......... 