1 cm3 of any gas at 0 degrees contains 27 * 10 ^ 18 molecules. What is the mass of 1 cm3 of hydrogen if the mass

1 cm3 of any gas at 0 degrees contains 27 * 10 ^ 18 molecules. What is the mass of 1 cm3 of hydrogen if the mass of one hydrogen molecule is 3.3 * 10 ^ -24 g?

This problem is solved based on the Avogadro number. It is known from the physics course that one mole of any gas occupies the same volume of 22.4 liters. Avogadro’s number is Na = 6.022 * 10 ^ 23 indicates the number of molecules in one mole of any substance. This means that in 1 cm3, there is the same number of molecules equal to N = 27 * 10 ^ 18. With these data, you can find the mass of hydrogen. Where m = 3.3 * 10 ^ -24 g is the mass of one hydrogen molecule.

M = N * m = 3.3 * 10 ^ -24 g * 27 * 10 ^ 18 = 89.1 * 10 ^ -6 g = 0.0891 kg.