What is the mass of a mole of electrons if one electron has a mass of 9.11 x 10^-28 g?
One electron has a mass of 9.11 x 10^-28 g. There are 6.02 x 10^23 electrons in a mole of anything (electrons included).
To find the mass of a mole of electrons, we need to known the Avogadro's number and the mass of one electron.
1. The Avogadro's number (symbolized as "Nₐ") is a fundamental constant that represents the number of atoms or molecules in one mole of a substance. Its value is approximately 6.022 x 10²³. Nₐ is often used to convert from moles to atoms and vice versa.
2. The mass of one electron is given as 9.11 x 10⁻²⁸ grams.
To find the mass of a mole of electrons, we can follow these steps:
Step 1: Calculate the mass of one mole of electrons by multiplying the mass of one electron by Avogadro's number.
Mass of one mole of electrons = (mass of one electron) x (Avogadro's number)
Mass of one mole of electrons = (9.11 x 10⁻²⁸ g) x (6.022 x 10²³)
Step 2: Perform the calculation to find the mass of a mole of electrons.
Mass of one mole of electrons = 5.48 x 10⁻⁵ g
Therefore, the mass of a mole of electrons is approximately 5.48 x 10⁻⁵ grams.