Question

Name all the alcohols that have the formula \(\mathrm{C}_{5} \mathrm{H}_{12} \mathrm{O}\). How many ethers have the formula \(\mathrm{C}_{5} \mathrm{H}_{12} \mathrm{O} ?\)

Short answer

There are 7 alcohols with the molecular formula C5H12O: Pentan-1-ol, Pentan-2-ol, Pentan-3-ol, 2-Methylbutan-1-ol, 2-Methylbutan-2-ol, 3-Methylbutan-1-ol, and 3-Methylbutan-2-ol. There are 2 ethers with the same formula: Ethoxyethane and either n-Propoxyethane or isopropoxyethane.

Step-by-step solution

Identify Alcohols with the Formula C5H12O

To identify all the alcohols with the given molecular formula C5H12O, we will start with the longest carbon chain (5 carbons in length) and gradually decrease the carbon chain's length to find all possible isomers: 1. Pentan-1-ol (CH3-CH2-CH2-CH2-CH2-OH) 2. Pentan-2-ol (CH3-CH2-CH2-CH(OH)-CH3) 3. Pentan-3-ol (CH3-CH2-CH(OH)-CH2-CH3) 4. 2-Methylbutan-1-ol (CH3-CH(CH3)-CH2-CH2-OH) 5. 2-Methylbutan-2-ol (CH3-CH(CH3)-CH(OH)-CH3) 6. 3-Methylbutan-1-ol (CH3-CH2-CH(CH3)-CH2-OH) 7. 3-Methylbutan-2-ol (CH3-CH2-CH(CH3)-CH(OH)-CH3) Thus, there are 7 alcohols with the molecular formula C5H12O.

Calculate the Number of Possible Ethers with the Formula C5H12O

To find the number of possible ethers with the given molecular formula C5H12O, we will consider the ethyl (C2H5) and propyl (C3H7) groups. Other combinations of carbon chains would not yield a similar molecular formula. 1. Ethoxyethane (Ch3-CH2-O-CH2-CH3): ethyl groups on both sides of the oxygen atom. 2. n-Propoxyethane (CH3-CH2-CH2-O-CH2-CH3) or isopropoxyethane (CH3-CH(CH3)-O-CH2-CH3): propyl and ethyl groups are attached to the oxygen atom. Therefore, there are 2 ethers with the given molecular formula C5H12O.

Key concepts

Alcohol

Alcohols in organic chemistry are molecules that include an -OH (hydroxyl) group bonded to a carbon atom. It can be part of alkanes, the simplest hydrocarbons, leading to alcohol names ending with "-ol."
Alcohols with the formula C5H12O belong to a group called isomers, where molecules have identical molecular formulas but different structures. This structural variety gives each alcohol unique properties.

• Primary Alcohols: In these, the -OH group is connected to a carbon that is only attached to one other carbon. An example is pentan-1-ol.
• Secondary Alcohols: Here, the -OH group links to a carbon, attached to two other carbons, such as pentan-2-ol.
• Tertiary Alcohols: These have the -OH group on a carbon connected to three other carbons, like in 2-methylbutan-2-ol.

Identifying alcohols involves finding every possible arrangement of these carbon chains.

Ether

Ethers are another fascinating group in organic chemistry. They consist of two hydrocarbon groups connected by an oxygen atom, without additional hydroxyl groups.
This means the structure of ethers is: - R-O-R', where R and R' are hydrocarbon chains.
Ethers with the molecular formula C5H12O are also isomers and have different arrangements and properties from alcohols.

• Simple Ethers: Both R groups are identical, as seen in ethoxyethane, where two ethyl groups are attached to the oxygen.
• Mixed or Unsymmetrical Ethers: The R groups differ, like in isopropoxyethane or n-propoxyethane, where either a propyl group is linked with an ethyl group.

Ethers tend to be less reactive than alcohols, and their boiling points vary based on the carbon chain length.

Molecular Formula

A molecular formula provides a simple way to represent the types and numbers of atoms in a molecule. C5H12O, for example, indicates a molecule with five carbon (C), twelve hydrogen (H), and one oxygen (O) atom.
The formula doesn’t show structural arrangements, making it perfect for identifying isomers— the molecules that share the formula but differ in structure.
This formula guides us in systematically exploring various combinations of carbon, hydrogen, and oxygen to determine possible alcohols and ethers. Each arrangement can result in remarkably different properties due to these unique structural configurations.

Organic Chemistry

Organic chemistry is the study of carbon-containing compounds. It explores their properties, structures, and reactions.
Carbon’s ability to form four bonds allows for complex structures. These include chains, branches, and cycles, leading to vast diversity in organic compounds. In this context, alcohols and ethers are typical examples of functional groups found in organic chemistry.

• Functional Groups: These are specific groups of atoms within molecules that have characteristic properties and reactivities, such as the -OH in alcohols and the -O- linkage in ethers.
• Isomerism: A crucial concept where molecules have the same formula but different structures demonstrates the diversity of organic compounds.

Understanding these basics helps explain why a simple formula like C5H12O can lead to various compounds like different alcohols and ethers.