Question

What is dimensional analysis when a `5*mL` volume of a solution whose concentration is `0.1*mol*L^-1` is considered?

What molar quantity is contained in this volume?

Answer 1

An idea as to whether you have the correct order of operations/calculation........

Explanation:

You have `0.1*mol` of stuff dissolved in `1*L` of water............

Clearly this solution has units of concentration, in `mol*L^-1`. You take `5*mL` of this solution, and `"how many moles do you have?"`

well the product, `"concentration"xx"volume"` gives:

`0.1*mol*cancel(L^-1)xx5xx10^-3cancelL=??mol`

And the answer is in `"moles"`, as you require. Had you got an answer with units of `L` or `L*mol^-1` you would know that something had gone awry - it is easy to make these kind of mistakes. Anyway, if you would respecify your question, someone will have another go.