ppm to mol/L Converter - Parts per million to Molar

Conversion derivation

Express both ppm and mol/L in the same base unit mol/L (molar), then cancel the shared base unit.

1. 1

   Rewrite ppm in the base unit

   $$1\mathrm{ppm}=0.000001mol/L$$
2. 2

   Rewrite mol/L in the base unit

   $$1mol/L=1mol/L$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{ppm}& =\frac{0.000001\cancel{mol/L}}{1\cancel{mol/L}}\times 1mol/L\\ & =\frac{0.000001}{1}mol/L\\ & =0.000001mol/L\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1mol/L& =\frac{1\cancel{mol/L}}{0.000001\cancel{mol/L}}\times 1\mathrm{ppm}\\ & =\frac{1}{0.000001}\mathrm{ppm}\\ & =1,000,000\mathrm{ppm}\end{array}$$