Question

A closed container has 6.08 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container? 1.02 grams, because (6.08 ⋅ 1.67) ⋅ (1023 ⋅ 10-24 ) = 10.1536 ⋅ 10–1, 0.78 grams, because (6.08 + 1.67) ⋅(1023 ⋅ 10–24 ) = 7.75 ⋅ 10–1, 7.75 grams, because (6.08 + 1.67) ⋅ (1023 ⋅ 10–24 ) = 7.75, 10.15 grams, because (6.08 ⋅ 1.67) ⋅ (1023 ⋅ 10–24 ) = 10.1536

Answer 1

To calculate for the total mass of the atoms of gas in the container, we simply multiply the number of atoms and the mass of each.
                total mass = (6.08 x10²³ atoms) x (1.67 x 10⁻²⁴ grams/ atom)
                   total mass = 1.015 grams

Therefore, the answer is the first choice.