A closed container has 3.06 ·1023 atoms of a gas.

Question

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? (1 point)

0.47 grams, because (3.06 + 1.67) ⋅(1023 ⋅10–24) = 4.73 ⋅10–1
5.11 grams, because (3.06 ⋅1.67) ⋅(1023 ⋅10–24) = 5.1102
0.51 grams, because (3.06 ⋅1.67) ⋅(1023 ⋅10–24) = 5.1102 ⋅10–1
4.73 grams, because (3.06 + 1.67) ⋅(1023 ⋅10–24) = 4.73

Answer 1

You have to multiply the number of atoms times the weight of each atom, so only the middle 2 answers could be correct.  The third one has the correct exponent, so 0.51 grams.

 

Carl