Free-radical halogenation can occur with chlorine and a source of direct UV radiation or sunlight. Chlorination of 2,4-dimethylpentane via radical halogenation leads to the formation of all three of the below products. Estimate the relative percentages of each product that will be formed using this means of halogenation. Presume that 1 equivalent of chlorine is used.

To estimate the relative percentages of each product formed during the chlorination of 2,4-dimethylpentane via radical halogenation, we need to consider the possible reaction pathways and product distributions.

In radical halogenation, the substitution of a hydrogen atom with a halogen atom occurs at a carbon atom. Since 2,4-dimethylpentane contains multiple hydrogen atoms, multiple products can be formed by substituting different hydrogen atoms.

The possible products that can be formed are:

1. 2-Chloro-2,4-dimethylpentane:
This product is formed by substituting a hydrogen atom on one of the methyl groups attached to the second carbon.

2. 4-Chloro-2,4-dimethylpentane:
This product is formed by substituting a hydrogen atom on the second carbon, which is part of the main carbon chain.

3. 2,4-Dichloro-2,4-dimethylpentane:
This product is formed by substituting a hydrogen atom on both the second carbon and one of the methyl groups attached to the second carbon.

To estimate the relative percentages of these products, we need to consider the relative reactivity of the different types of hydrogen atoms present in 2,4-dimethylpentane towards radical halogenation. The relative reactivity is influenced by the number of alkyl groups attached to the carbon atom bearing the hydrogen atom.

The order of reactivity for hydrogen atoms in radical halogenation is:
tertiary > secondary > primary

In 2,4-dimethylpentane, we have:

- Two tertiary hydrogen atoms (attached to the methyl groups on the second carbon).
- Six secondary hydrogen atoms (attached to the remaining carbons in the chain).
- Six primary hydrogen atoms (attached to the remaining methyl groups).

Based on this, we can estimate the relative percentages as follows:

- The 2-Chloro-2,4-dimethylpentane product is formed by substituting one of the two tertiary hydrogen atoms. Therefore, it is expected to be the most abundant product.
- The 4-Chloro-2,4-dimethylpentane product is formed by substituting one of the six secondary hydrogen atoms. Therefore, it is expected to be less abundant than the previous product but more abundant than the next product.
- The 2,4-Dichloro-2,4-dimethylpentane product is formed by substituting one tertiary hydrogen atom and one primary hydrogen atom. Therefore, it is expected to be the least abundant product.

Estimating specific percentages without experimental data is difficult, as the relative reactivity of the different types of hydrogen atoms can vary based on the reaction conditions. However, based on the trends mentioned above, we can expect the 2-Chloro-2,4-dimethylpentane product to be the major product, followed by the 4-Chloro-2,4-dimethylpentane product, and finally, the 2,4-Dichloro-2,4-dimethylpentane product.

To estimate the relative percentages of the three products formed during the chlorination of 2,4-dimethylpentane, we need to consider the relative reactivity of the different hydrogens in the molecule.

In a radical halogenation reaction, a chlorine atom replaces a hydrogen atom in the alkane. The reactivity of the hydrogen atom can be determined by considering the stability of the resulting radical intermediate.

In 2,4-dimethylpentane, there are three types of hydrogens:

1. Primary Hydrogens: These are the hydrogens bonded to a carbon atom that is bonded to only one other carbon atom. They are least stable and have the highest reactivity towards radical halogenation.

2. Secondary Hydrogens: These are the hydrogens bonded to a carbon atom that is bonded to two other carbon atoms. They are moderately stable and have intermediate reactivity towards radical halogenation.

3. Tertiary Hydrogens: These are the hydrogens bonded to a carbon atom that is bonded to three other carbon atoms. They are the most stable and least reactive towards radical halogenation.

In 2,4-dimethylpentane, the molecule has one tertiary carbon atom, three secondary carbon atoms, and two primary carbon atoms. Therefore, the relative reactivity of the different types of hydrogens is as follows:

Tertiary Hydrogens < Secondary Hydrogens < Primary Hydrogens

Based on this reactivity order, we can estimate the relative percentages of the three products:

1. 1-Chloro-2,4-dimethylpentane: This product is formed by the replacement of a primary hydrogen atom. Since there are two primary carbon atoms in the molecule, we can estimate that approximately 2/7 or about 28.6% of the product will be 1-chloro-2,4-dimethylpentane.

2. 2-Chloro-2,4-dimethylpentane: This product is formed by the replacement of a secondary hydrogen atom. Since there are three secondary carbon atoms in the molecule, we can estimate that approximately 3/7 or about 42.9% of the product will be 2-chloro-2,4-dimethylpentane.

3. 3-Chloro-2,4-dimethylpentane: This product is formed by the replacement of a tertiary hydrogen atom. Since there is one tertiary carbon atom in the molecule, we can estimate that approximately 1/7 or about 14.3% of the product will be 3-chloro-2,4-dimethylpentane.

It's important to note that these estimations are based on the relative reactivity of the different types of hydrogens and may not account for other factors that could influence the reaction. Also, the total is less than 100% as some side reactions or rearrangements may also occur.

9.9, 38.6, 51.5