How much total charge (in coulombs) is in one mole of electrons?

• The Avogadro constant is $N_A = 6.022 \cdot 10^{23} \text{ mol}^{-1}$
  • Note: When we write the unit as $\text{ mol}^{-1}$, we mean particles per mole.
• 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 number of particles $N$ can be found from the number of moles $m$ using the Avogadro constant $N_A$: $N = m \cdot N_A$.
• 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 number of electrons $N$ is given by

$$\begin{align*} N &= 1 \text{ mol} \cdot 6.022 \cdot 10^{23} \text{ mol}^{-1} \\ &= 6.022 \cdot 10^{23} \end{align*}$$ We now have $N$ and $e$. The total charge $Q$ is then given by $$\begin{align*} Q &= N \cdot e \\ &= 6.022 \cdot 10^{23} \cdot -1.602 \cdot 10^{-19} \text{ C} \\ &= 9.647 \cdot 10^4 \text{ C} \end{align*}$$