Which of the following cannot be correct formula(s) for an...

Which of the following cannot be correct formula(s) for an organic compound? Explain. $\begin{array}{ccccc}\text { (a) } \mathrm{C}_{10} \mathrm{H}_{20} \mathrm{~N}_{3} & \mathrm{C}_{10} \mathrm{H}_{20} \mathrm{~N}_{2} \mathrm{O}_{2} & \mathrm{C}_{10} \mathrm{H}_{27} \mathrm{~N}_{3} \mathrm{O}_{2} & \mathrm{C}_{10} \mathrm{H}_{16} \mathrm{O}_{2} \\ A & B & C & D\end{array}$ (b) Draw constitutional isomers of compounds with the formula $\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}$ that contain (1) an alcohol functional group; (2) a ketone functional group.

Which of the following cannot be correct formula(s) for an organic compound? Explain.
$\begin{array}{ccccc}\text { (a) } \mathrm{C}_{10} \mathrm{H}_{20} \mathrm{~N}_{3} & \mathrm{C}_{10} \mathrm{H}_{20} \mathrm{~N}_{2} \mathrm{O}_{2} & \mathrm{C}_{10} \mathrm{H}_{27} \mathrm{~N}_{3} \mathrm{O}_{2} & \mathrm{C}_{10} \mathrm{H}_{16} \mathrm{O}_{2} \\ A & B & C & D\end{array}$
(b) Draw constitutional isomers of compounds with the formula $\mathrm{C}_{4} \mathrm{H}_{8} \mathrm{O}$ that contain
(1) an alcohol functional group;
(2) a ketone functional group.

Key Concepts

Index of Hydrogen Deficiency

This concept involves calculating the number of rings and multiple bonds present in an organic compound by comparing the actual number of hydrogens to that of a saturated acyclic alkane. It is crucial for verifying whether a given molecular formula is chemically plausible and helps identify degrees of unsaturation that must be accounted for in the compound’s structure.

Molecular Formula Validation

Understanding molecular formula constraints and the typical valencies of elements (such as carbon tetravalency, nitrogen trivalency, and oxygen divalency) is essential for determining if a chemical formula can correspond to a stable organic compound. This involves applying rules like the maximum number of hydrogen atoms permissible for a given carbon backbone and ensuring that heteroatoms are appropriately accommodated.

Constitutional Isomerism

This concept refers to compounds that have the same molecular formula but different arrangements of atoms or connectivity of their atoms. Recognizing constitutional isomers is vital when drawing or analyzing different structures for the same molecular formula, as these variations lead to distinct physical and chemical properties.

Functional Group Identification

Functional groups such as alcohols and ketones define the chemical reactivity and properties of organic molecules. The ability to identify and incorporate these groups into constitutional isomers as required by a specific molecular formula is a fundamental skill in organic chemistry practice, impacting both the nomenclature and reactivity of the compounds.

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