Which of the following is an example of a Homogeneous mixture?

a. the hydrogen and oxygen atoms that make up water
b. A typical soil sample
c. a bottle of table vinegar

Personally, I think the choices are not good.

a. The hydrogen ATOMS and oxygen ATOMS of the elements are homogeneous but they are not mixtures and if they reacted to form water, then a compound, not a mixture, has been formed.
2. What is a typical soil sample? Is it a core sample from 100 feet deep in the earth, a sample from the top of the ground in New York, Louisiana, Texas (all of those would be different) or something different. Too vague in my opinion.
c. A solution (vinegar is a solution)is a homogeneous mixture. I'm sure this is the correct answer to the question; however, I disagree with this on technical grounds, also. If you are talking about white vinegar, that is a homogeneous mixture. If you are talking about vinegar made from apple or other fruits, it is a homogeneous mixture if it is fresh but a few days after opening, you will see some "mother liquor" floating around and then it is not homogeneous.
I hope I've not confused you.

To determine which of the options is an example of a homogeneous mixture, we need to understand what a homogeneous mixture is.

A homogeneous mixture is a combination of two or more substances that are uniformly distributed throughout the mixture, giving it a consistent composition and appearance. In other words, all the components are evenly spread out and not easily distinguishable.

Now, let's examine each option:

a. The hydrogen and oxygen atoms that make up water: This is not a homogeneous mixture because water is a compound, not a mixture. A compound consists of atoms chemically bonded together in fixed proportions, like water (H2O). The hydrogen and oxygen atoms in water are tightly bonded, and the substances are not uniformly distributed throughout the sample.

b. A typical soil sample: This is not a homogeneous mixture either. Soil consists of a mixture of various substances like minerals, organic matter, water, air, and organisms. The components of soil are not uniformly distributed, resulting in variations in the composition and appearance.

c. A bottle of table vinegar: This is the correct answer. Vinegar is a homogeneous mixture. It is composed of acetic acid and water, which are thoroughly mixed and uniformly distributed throughout the solution. Therefore, a bottle of table vinegar represents a homogeneous mixture.

So, the correct answer is c. a bottle of table vinegar.