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Example: How much total charge is in one mole of electrons?
How much total charge (in coulombs) is in one mole of electrons?
Facts
- The Avogadro constant is 6.022⋅1023 particles/mol
- All electrons have the same charge, which is e = −1.602⋅10−19 C.
Lacking
- Total Charge
Approximations & Assumptions
- None here, we have all the information we need.
Representations
- The total charge Q can be written as the number of particles N times the charge of each particle (e, for electrons): Q=N⋅e.
Solution
The total charge Q is given by Q=N⋅e=1 mol⋅1.602∗1019 C=
The number of electrons in one mole is obtained by multiplying the number of moles by Avogodro's number.
N=(1mole)∗6.022∗1023
N=6.022∗1023electrons
Therefore, the total charge Q is given by…
Q=N∗e
Q=(6.022∗1023)∗(1.602∗1019C)
Q=96472.44C