The total number of head to tail isoprene linkages in the following molecule is .......... 
To determine the number of head-to-tail isoprene linkages in the given molecule, we first need to understand the structure of an isoprene unit, which is 2-methyl-1,3-butadiene. The "head" is the branched end (methyl group), and the "tail" is the end opposite the methyl group.
1. Identify Isoprene Units: Observe the repeating units consisting of carbon backbones with attached methyl branches.
2. Map Head-to-Tail Linkages:
By examining the structure, it's evident that the linkages are as follows:
3. Count Linkages: There are 4 head-to-tail linkages in total.
Thus, the total number of head-to-tail isoprene linkages in the molecule is 4.

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 ......... 