Final answer:
The chemical structures of these organic compounds are drawn by interpreting their systematic names and arranging the atoms accordingly. Due to the limitations of this platform, the drawings themselves cannot be input here; instead, descriptions are provided to guide visualization with a molecular model set or drawing software.
Step-by-step explanation:
Your question pertains to drawing the structures of a series of organic compounds based on their systematic names. The process involves interpreting the systematic (IUPAC) names and drawing the corresponding chemical structure. Here are the structures for these compounds:
a). (4E)-2,4-dimethyl-1,5-hexadiene: This compound has a total of 6 carbon atoms in the longest chain (hexa- implies 6). The diene means there are two double bonds in the chain. They are at carbon atoms 1 and 5. The 4E means the two groups on either side of the second bond (between carbons 4 and 5) are on opposite sides.
b). cis-3,3-dimethyl-4-propyl-1,5-octadiene: This compound has 8 carbon atoms in the longest chain (octa- implies 8). The diene indicates that there are double bonds at the 1st and 5th positions. The prefix 'cis-' indicates both methyl groups are on the same side of the double bond. The 4-propyl group is an additional propyl (3-carbon) group attached to the fourth carbon of the main chain.
Since this platform does not support drawing images, it is recommended to use these descriptions along with a molecular model set or drawing software to visualize these structures. Remember to always follow the rules of organic chemistry nomenclature.
Learn more about Chemical Structures