Answer:
[tex]\boxed {\boxed {\sf 6.26 \times 10^{24} \ atoms }}[/tex]
Explanation:
To convert from moles to atoms, we must use a number called Avogadro's Number which is:
[tex]6.022\times10^{23}[/tex]
This number tells us the amount of atoms in a mole.
[tex]1 \ mole = 6.022\times10^{23} \ atoms[/tex]
To convert from moles to atoms, we must multiply Avogadro's number by the amount of moles.
We know there are 10.4 moles of Chlorine. Multiply 10.4 (molar amount) by 6.022 * 10²³ (Avogadro's Number)
[tex]10.4 \ mol *\frac{6.022\times10^{23} \ atoms }{ 1 \ mole}[/tex]
[tex]10.4 * 6.022\times10^{23} \ atoms[/tex]
[tex]1 \ mole = 6.022\times10^{23} \ atoms[/tex]
[tex]6.26288 \times 10^{24} \ atoms[/tex]
Let's round to 3 significant figures, because the original measurement 10.4, has 3 sig figs (1, 0, and 4)
For the number 6.26288, 3 significant figures is the hundredths place. The 2 in the thousandth place tells us to keep the 6 in the hundredths place.
[tex]6.26 \times 10^{24} \ atoms[/tex]
There are about 6.26 × 10²⁴ atoms in 10.4 moles of chlorine.
