Question

Sun of X, Y and Z is:

$ {{C}_{4}}{{H}_{8}}O $	No. of aldehyde = X
$ {{C}_{3}}{{H}_{12}} $	No. of chain isomers=Y
$ {{C}_{4}}{{H}_{8}} $	Maximum no of alkenes= Z

(A)10
(B)7
(C)9
(D)8

Answer 1

Hint Isomers are those compounds which have the same molecular formula but different compounds. The structural isomers are those isomers which differ by the structure of the molecule.

Complete step by step solution:
Number of aldehydes in $ {{C}_{4}}{{H}_{8}}O $ =X
There are two aldehydes in $ {{C}_{4}}{{H}_{8}}O $ i.e. the structure is given below:
\[\begin{align}
& H-\overset{\overset{O}{\mathop{\parallel }}\,}{\mathop{C}}\,-C{{H}_{2}}-C{{H}_{2}}-C{{H}_{3}} \\
 & H-\overset{\overset{O}{\mathop{\parallel }}\,}{\mathop{C}}\,-C(C{{H}_{3}})-C{{H}_{3}} \\
\end{align}\]
The number of chain isomers in $ {{C}_{3}}{{H}_{12}} $ = Y
There are three chain isomers for $ {{C}_{3}}{{H}_{12}} $ . i.e. pentane, 2-methylbutane and 2,2-dimethylpropane.
The number of alkenes for $ {{C}_{4}}{{H}_{8}} $ is 4.

Hence, the sum of X, Y and Z is 9.

Additional information:
The structural isomers are of different types. The chain isomers in which the difference is in the carbon chain. The other one is the position isomer in which the difference is in the position of the functional group. The last one is the functional isomer, in which there is a difference between the type of functional group which is present in the molecule.

Note: The compounds which are mirror images but are not identical to each other. They are known as enantiomers. The isomers which are different by the orientation of atoms in space are known as stereoisomers and the isomers which differ by their rotation around a single bond are known as conformational isomers. It is important to note that the structural isomers have the same number of atoms of each type. The difference is only in the connectivity of the atoms. There are other types of isomers which are known as stereoisomers.