What is the mass of one mole of electrons? Mass of one electron is 9.1 x 10 -31 kg
The Correct Answer and Explanation is:
To calculate the mass of one mole of electrons, we need to multiply the mass of a single electron by Avogadro’s number.
Given:
- Mass of one electron = 9.1×10−31 kg9.1 \times 10^{-31} \, \text{kg}9.1×10−31kg
- Avogadro’s number = 6.022×1023 electrons/mol6.022 \times 10^{23} \, \text{electrons/mol}6.022×1023electrons/mol
Calculation:
The mass of one mole of electrons is:Mass of one mole of electrons=Mass of one electron×Avogadro’s number\text{Mass of one mole of electrons} = \text{Mass of one electron} \times \text{Avogadro’s number}Mass of one mole of electrons=Mass of one electron×Avogadro’s numberMass of one mole of electrons=(9.1×10−31 kg)×(6.022×1023 electrons/mol)\text{Mass of one mole of electrons} = (9.1 \times 10^{-31} \, \text{kg}) \times (6.022 \times 10^{23} \, \text{electrons/mol})Mass of one mole of electrons=(9.1×10−31kg)×(6.022×1023electrons/mol)Mass of one mole of electrons=5.48×10−7 kg/mol\text{Mass of one mole of electrons} = 5.48 \times 10^{-7} \, \text{kg/mol}Mass of one mole of electrons=5.48×10−7kg/mol
Explanation:
- Mass of an electron: The mass of a single electron is extremely small, on the order of 10−31 kg10^{-31} \, \text{kg}10−31kg. This value is crucial because it represents the smallest mass in terms of elementary particles.
- Avogadro’s number: Avogadro’s number, 6.022×10236.022 \times 10^{23}6.022×1023, is the number of particles (atoms, molecules, electrons, etc.) in one mole of a substance. This constant allows us to convert between the microscopic world (individual particles) and the macroscopic world (grams or kilograms).
- Calculating the mass of one mole: To find the mass of one mole of electrons, we multiply the mass of a single electron by Avogadro’s number. The result, 5.48×10−7 kg/mol5.48 \times 10^{-7} \, \text{kg/mol}5.48×10−7kg/mol, indicates that one mole of electrons weighs about 5.48×10−75.48 \times 10^{-7}5.48×10−7 kilograms, or 0.548 milligrams.
Conclusion:
Thus, the mass of one mole of electrons is approximately 5.48×10−7 kg5.48 \times 10^{-7} \, \text{kg}5.48×10−7kg, which shows that the mass of electrons is incredibly small compared to macroscopic objects we encounter in everyday life.
