(i) Calculate the number of electrons which will together weigh one gram. (ii) Calculate the mass and charge of one mole of electrons
(i) The mass of a single electron is 9.10938356 × 10^-31 kg. To calculate the number of electrons which will together weigh one gram, we can use the following formula:
number of electrons = (1 g) / (mass of one electron)
Substituting the values, we get:
number of electrons = (1 g) / (9.10938356 × 10^-31 kg)
number of electrons = 1.0977685 × 10^31
Therefore, the number of electrons which will together weigh one gram is approximately 1.0977685 × 10^31.
(ii) The mass of one electron is 9.10938356 × 10^-31 kg. The molar mass of electrons can be calculated by multiplying the mass of one electron by Avogadro's number:
molar mass of electrons = (mass of one electron) x (Avogadro's number)
Substituting the values, we get:
molar mass of electrons = (9.10938356 × 10^-31 kg) x (6.02214179 × 10^23/mol)
molar mass of electrons = 5.48579909 x 10^-7 kg/mol
Therefore, the molar mass of electrons is approximately 5.48579909 x 10^-7 kg/mol.
The charge of one electron is 1.602176634 × 10^-19 C. To calculate the charge of one mole of electrons, we can multiply the charge of one electron by Avogadro's number:
charge of one mole of electrons = (charge of one electron) x (Avogadro's number)
Substituting the values, we get:
charge of one mole of electrons = (1.602176634 × 10^-19 C) x (6.02214179 × 10^23/mol)
charge of one mole of electrons = 9.64853399 C
Therefore, the charge of one mole of electrons is approximately 9.64853399 C.
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