How much total charge (in coulombs) is in one mole ($n=6.022*10^{23} \text{ particles/mol}$) of electrons?

• $1 \text{ mol} = 6.022 \cdot 10^{23} \text{ particles}$
• All electrons have the same charge, which is $e$ = $-1.602\cdot10^{-19} \text{ C}$.

• Total Charge

• None here, we have all the information we need.

• The total charge $Q$ can be written as the number of particles $N$ times the charge of each particle ($e$, for electrons): $Q=N\cdot e$.

The total charge $Q$ is given by \begin{align*} Q &= N \cdot e \\ &= 1 \text{ mol} \cdot 1.602*10^{19} \text{ C} \\ &= \end{align*} The number of electrons in one mole is obtained by multiplying the number of moles by Avogodro's number. $$N=(1 mole)*6.022*10^{23}$$ $$N=6.022*10^{23} electrons$$ Therefore, the total charge $Q$ is given by… $$Q=N*e$$ $$Q=(6.022*10^{23})*(1.602*10^{19} C)$$ $$Q=96472.44 C$$