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?

Answer 1

The approximate total mass= number of atoms * weight of an atom.

The approximate total mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom)=
=0.51102 g ≈ 0.51 g

Answer: the spproximate total mass is 0.51 grams.

Answer 2

The approximate total mass, in grams is
`0.511\ grams`

Explanation:

we know that

To calculate the approximate total mass of all the atoms of the gas in the container, multiply the numbers of atoms by the weight of an atom

Let

x-------> the numbers of atoms

y------> the weight of an atom

m-----> the approximate total mass

`m=xy`

In this problem we have

`x=3.06*10^(23)\ atoms`

`x=1.67*10^(-24)\ grams`

substitute

`m=(3.06*10^(23))(1.67*10^(-24))=5.1102*10^(-1)=0.511\ grams`