You cannot. The problem here is you have weight per area and you want to convert to weight per volume. You need a third dimension to the area to calculate this.
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(Micrograms per litre)/(gram molecular weight of solute) = (micromoles per litre).
The formula is no. moles is mass over molecular mass. If you multiply micromole by molecular mass you get micrograms. Then you have to divide by 1000 to convert per litre to per millilitre.
.001mg
31.1 (milligrams per liter) = about 1.817 grains per US gallon.
Grams is weight. Liter is volume. The answer would depend on the density of the substance.