How many moles of electrons weigh one kilogram?

a) 6.023 x 10²³ moles

b) 1/9.108 x 10³¹ moles

c) 6.023/9.108 x 10⁵⁴ moles

d) 1/ /9.108 x 6.023 x 10⁸ moles

One mole of any substance contains 6.023 × 10²³ electrons (Avogadro’s number, N_A), and the mass of a single electron is 9.108 × 10^-31 kg.

So, the mass of one mole of electrons is calculated as:

Mass of 1 mole of electrons = Mass of 1 electron × Number of electrons in 1 mole

= (9.108 × 10^-31) × (6.022 × 10²³) kg

We are asked to find the number of electrons in 1 kilogram.

Since (9.108 × 10^-31) × (6.022 × 10²³) kg corresponds to 1 mole of electrons, the number of moles in 1 kg is:

Moles in 1 kg = 1 / [(9.108 × 10^-31) × (6.022 × 10²³)]

Moles in 1 kg = 1 / (9.108 × 6.022 × 10^-8)

Thus, this many moles of electrons will have a total mass of 1 kilogram.

Answer: Option D