Question

How many atoms of iron are there in 3.77 moles of Iron?

Answer 1

Hint: 1)Avogadro's number is a significant relationship to remember: \[1{\text{ }}mole{\text{ }} = \] \[\;6.022\times{10^{23}}\] atoms, molecules, protons, and so forth
2)To change over from moles to atoms, multiply the molar sum by Avogadro's number

Complete step by step answer:
Avogadro's number is commonly dimensionless, yet when it defines the mole, it very well may be expressed as \[6.022 \times {10^{23}}\] elementary entities/mol. This form shows the role of Avogadro's number as a conversion factor between the number of entities and the number of moles. Subsequently, given the relationship \[1{\text{ }}mol{\text{ }} = {\text{ }}6.022{\text{ }}x{\text{ }}{10^{23}}\] atoms, changing over among moles and atoms of a substance becomes a simple dimensional analysis problem.
One mole of anything is \[6.022 \times {10^{23}}\] everythings, including molecules.
Multiply the moles Fe by \[6.022 \times {10^{23}}\] particles/mol.
\[3.77{\text{ }}mol{\text{ }}Fe\] x $\dfrac{{6.022 \times 10^{23}{\text{atoms Fe}}}}{{1{\text{mol Fe}}}}$ =\[2.27 \times {10^{24}}\] molecules Fe adjusted to three significant figures

Note:
1)The measure of substance of a system that contains as numerous elementary entities as there are atoms in \[12{\text{ }}g\] of \[carbon - 12\] .
2)Avogadro's number - The number of atoms present in \[12{\text{ }}g\] of \[carbon - 12\] , which is \[6.022 \times {10^{23}}\] and the number of elementary entities (atoms or molecules) comprising one mole of a given substance.
3)From the moles of a substance, one can also locate the number of atoms in a sample and the other way around. The extension among atoms and moles is Avogadro's number, \[6.022 \times {10^{23}}.\]
4)The mole can be used to relate masses of substances to the number of atoms in them. This is an easy method of deciding the amount of one substance that can react with a given measure of another substance.