- #1

etotheipi

^{+}and Cl

^{-}ions connected to an external circuit with an ammeter which reads 96500A.

In 1 second, we expect 96500C of charge to flow out of the cathode as 1 mole of Na

^{+}ions are reduced, and the same amount of charge to flow into the anode as 1 mole of Cl

^{-}ions are oxidised.

Now consider an arbitrary point not in the external circuit, but in the electrolyte, through which the ions are flowing. Since, in 1 second, 1 mole of Na

^{+}ions move in one direction past this point and 1 mole of Cl

^{-}ions move the other direction, we have a situation where +96500C has moved one way and -96500C of charge has moved the other way across this arbitrary point.

This is equivalent to 193000C of positive charge (or negative, if we define in the opposite direction) flowing past this point in 1 second, which equates to a current of 193000A.

So it seems as if, in this case, the current due to the ions flowing both ways in the electrolyte is double the size of the current through the external circuit. Is this correct analysis?