Question

All changes saved 9.(01.07 HC) A closed container has 4.02 - 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

Given:

The number of atoms =

`4.02\cdot10^(23)`

The weight of each atom =

`1.67\cdot10^(-24)`

To find the total mass, multiply the total number of atoms by the weight of each atom

So, the total mass =

`\begin{gathered} (4.02\cdot10^(23))\cdot(1.67\cdot10^(-24)) \\ \\ =(4.02\cdot1.67)\cdot(10^(23)\cdot10^(-24)) \\ \\ =6.71\cdot10^(-1) \\ \\ =(6.71)/(10)=0.67 \end{gathered}`

So, the answer is option 2. 0.67 grams