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 =

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

So, the answer is option 2. 0.67 grams