The concentration of something may be measured in all states of matter, and may be measured and quantified in a number of ways.
The concentration may be quantified as the mass of the compound measured as a proportion of the total mass. This may also be applied with volume and number of particles (see mole). Potentially mixtures of the methods may also be used.
Expressions of concentration
Why use different measures of concentration?
The reason that you might want to use different measures are for use in different circumstances. For example, if you are performing an experiment such that the charge of a solution is important, then knowing the mass proportion of the ions in the solution is irrelevant, as different ions will have different mass, but may have the same charge. Thus, you would want to know the molar concentration of the solution, as molarity takes into account the [atomic mass]? of the substance.