The molar mass of an electron is calculated by multiplying the mass of a single electron by Avogadro's number.
Here's a breakdown of the process:
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Mass of a Single Electron: The mass of a single electron is approximately 9.109 × 10-31 kg (or 9.109 × 10-28 g). This value is a fundamental physical constant.
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Avogadro's Number: Avogadro's number is approximately 6.022 × 1023 particles/mol. This represents the number of entities (atoms, molecules, ions, electrons, etc.) in one mole of a substance.
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Calculation: To find the molar mass, multiply the mass of a single electron by Avogadro's number:
Molar mass of electron = (Mass of one electron) × (Avogadro's number)
Molar mass of electron = (9.109 × 10-31 kg/electron) × (6.022 × 1023 electrons/mol)
Molar mass of electron ≈ 5.485 × 10-7 kg/mol
Molar mass of electron ≈ 5.485 × 10-4 g/mol
Therefore, the molar mass of an electron is approximately 5.485 × 10-4 grams per mole. This incredibly small number highlights the extremely low mass of individual electrons.