Question

Find the number of moles in 1 kg of protons?

Answer 1

The mass of 1 proton is 1.673 X 10^-27 Kg. Thus

number of protons in 1.673 X 10^-27 Kg = 1

number of protons in 1 Kg = 1 / (1.673 X 10^-27) = 5.977 X 10²⁶

Now, one mole of a substance consists of 6.022 X 10²³ particles. Thus,

number of moles in 6.022 X 10²³ protons = 1

number of moles in 1 proton = [1 / (6.022 X 10²³)]

number of moles of protons in 5.977 X 10²⁶ protons = [(5.977 X 10²⁶) / (6.022 X 10²³)] = 9.925 X 10²

Hence there are 9.925 X 10² protons in 1 Kg of protons.