Question

How many grams of Magnesium will have the same number of atoms as 6 grams of Carbon?

Answer 1

Molar mass of carbon = 12 g/mole
Number of moles of carbon in 6 g = 6/12 = 0.5
Number of atoms in 1 mole of carbon = 6.02 x 10²³
Number of atoms in 0.5 moles of carbon = 6.02 x 10²³ x 0.5 = 3.01 x 10²³

Now, mass of 6.02 x 10²³ atoms of magnesium = 24 g
Mass of 3.01 x 10²³ atoms of magnesium = (24/6.02 x 10²³ ) x 3.01 x 10²³
= 12 g

Hence, 12 g grams of Magnesium will have the same number of atoms as 6 grams of Carbon