Aclosed container has 5.04 ⋅ 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)
8.42 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168
6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71
0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1
0.84 grams, because (5.04 ⋅ 1.67) ⋅ (1023⋅ 10−24 ) = 8.4168 ⋅ 10−1

The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))

Step-by-step explanation:

The first step is to think that you have to multiply the number of atoms for the weight of each atom.

When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.

Summarizing 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24)  ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1

⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.