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Replying to your comment on this post- so do we use 1) formula or 2) formula to calculate ppm. another answer suggested, since practical use of ppm is to express the concentration of a smaller solute, 1) formula is used. I want to confirm if that formula is also correct theoretically, or if the 2) formula is the correct formula.
Also, I would like to ask, is the proof I wrote correct? Do we really need to bring water in to this proof? or as you mentioned in your comment, "The question should rather be When is 1 ppm considered equal to 1 mg/dm3?", this only applies to special instances like aqueous solutions. Could you give me some examples when 1 ppm isn't considered equal to 1 mg/dm3?
this answer cleared most of my confusion about when we use w/v or w/w. only confusion I have now is, does 1 ppm mean (1) $\frac{m_A \times 10^6}{m_B}$ or (2) $\frac{m_A \times 10^6}{m_A + m_B}$ ? I have this confusion because we can't calculate the second ratio from the formula since they are weight and a volume.
Is there a standard system of definitions (like for SI system) for these units, set by scientists. If there is I would greatly appreciate if you could provide me a link to it. Thank you
@Mithoron I apologize. I used bold as a way of emphasizing on certain phrases. English is not my mother tongue so If I was unclear anywhere I can clarify and fix the error.