Assumption: The solute is nondissociated.
moles of solute =
= (weight in grams) / (molecular weight of solute)
moles of solvent =
= (weight in grams) / (molecular weight of solvent)
weight in grams of solvent =
= (density in grams per mL) * (volume in mL)
(moles of solute) / ((moles of solute) + (moles of solvent)) =
= (parts per million of solute) / 1,000,000)
If weight of solute is known:
parts per million of solute =
= ((moles of solute) / ((moles of solute) + (moles of solvent))) * 1,000,000
If parts per million is known:
moles of solute =
= ((parts per million) * (moles of solvent)) / (1000000 - (parts per million))