Question

How many moles of Xenon do $5.66 \times {10^{23}}$ atoms equal?

Answer 1

Hint : To know the conversion of atoms into moles, we should first introduce the Avogadro’s Number, which is the one mole of any compounds or substance. Then we will convert with the help of Avogadro’s Number.

Complete Step By Step Answer:
One mole of anything, including xenon atoms is $6.022 \times {10^{23}}$ .
This gives us an equality from which we can derive two conversion factors.
$1mole{\text{ }}Xe{\text{ }}atoms = 6.022 \times {10^{23}}atoms$
Now we can write two conversion factors.
$\dfrac{{1mol\,Xe\,atoms}}{{6.022 \times {{10}^{23}}\,Xe\,atoms}}\,and\,\dfrac{{6.022 \times {{10}^{23}}Xe\,atoms}}{{1mol\,Xe\,atoms}}$
Now, multiply the given number of atoms by the conversion factor that has moles in the numerator. This will result in the $Xe$ atoms cancelling.
$5.66 \times {10^{23}}\,Xe\,atoms \times \dfrac{{1mol\,Xe}}{{6.022 \times {{10}^{23}}Xe\,atoms}} = 0.940\,mol\,Xe\,atoms$ .

Note :
We assume we are converting between atom and mole. We can view more details on each measurement unit: atom or mole. The SI base unit for the amount of substance is the mole. 1 atom is equal to $1.660538863127E - 24{\text{ }}mole$ .