`An alkene X has molecular formula C_(11 H_(24 .X on free radical chlo...
The question is asking about the number of carbon atoms present in the parent chain of alkene X, based on the given information about its derivatives and their reactions.
Given:
- Alkene X has the molecular formula C11H24.
- Free radical chlorination of X gives three monochloroalkane derivatives P, Q, and R as positional isomers.
- Only Q is resolvable into enantiomers.
- P does not undergo an elimination reaction with ethanolic KOH solution.
- Q and R both give the same alkane with ethanolic ROH, which is capable of showing geometrical isomers.
Analysis:
- The molecular formula of X indicates that it contains 11 carbon atoms.
- Free radical chlorination of X results in three monochloroalkane derivatives, which means that each derivative has one chlorine atom attached to a different carbon atom in the parent chain of X.
- Since P does not undergo an elimination reaction with ethanolic KOH solution, it suggests that P has a tertiary carbon atom attached to the chlorine atom, which prevents the elimination reaction from occurring.
- Q and R both give the same alkane with ethanolic ROH, which indicates that Q and R have the same functional group and can undergo the same reaction. This suggests that Q and R have similar carbon skeletons and differ only in the arrangement of substituents around a double bond.
- Q is resolvable into enantiomers, which means it has an asymmetric carbon atom, indicating the presence of a double bond.
- The fact that Q and R can show geometrical isomers suggests the presence of a double bond in both compounds.
Conclusion:
Based on the given information, the parent chain of alkene X contains 11 carbon atoms.