A closed container has 3.06 ⋅ 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? A. 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1
B.0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
C.4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73
D.5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102
The correct answer is not the first answer, but the second answer in the middle. The third answer is the correct one because, since it has the correct exponent, that is, 0.51 grams.
The approximate total mass is the number of atoms multiplied by the weight of an atom.
The approximate overall mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom) which is equivalent to a mass of 0.51 grams. (1.67 10⁻²⁴ grams/1 atom) = 0.51102 g ≈ 0.51 g
Answer: B. 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
