# Calculating PPM of colloidal material in solution produced by electrolysis

I am running an electrolysis between two silver electrodes. The “electrolyte” is deionized water. Ions are still formed as the CO2 of the air generates enough ions for a few µA of current. During the electrolysis the ions are converted to metallic silver nanoparticles due to strong ultraviolet radiation.

I have the following variables:

1. Current in Ampere [A]
2. Time passed in seconds [s]
3. Coulomb [C or As]
4. Quantity of deionized water [l (liter)] I want to know:
5. On the anode dissolved silver in milligrams [mg]
6. PPM of silver in the deionized water [PPM]

In practice there will be some silver ions that make it from the anode to the cathode without “colliding” with an photon – so they will be depleted on the cathode. However for the calculation I assume that all ions will get reduced to metallic nanoparticles and nothing will be depleted on the cathode.

How do I calculate the dissolved silver in mg and the PPM of the solution?