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Sagot :
The volume occupied by 3.66 x [tex]10^{23}[/tex] atoms of lithium is 7.73 [tex]cm^3[/tex]
What is Density?
The density of a substance is defined as the mass of the substance per unit volume. It is often denoted by the symbol ρ
The density of a substance is given by,
[tex]\rho = \frac{m}{V}[/tex]
The mass of a substance is the measure of the amount of matter present in it. It is generally measured in grams (g) or kilograms (kg).
The volume of a substance is defined as the amount of 3D space occupied by it.
What is Mole Concept?
It is a concept which uses mole as a unit to measure the number of atoms, molecules or ions.
A mole is defined as the amount of substance which has the same number of elementary particles as there are atoms in 12 grams of [tex]\ce{^{12}C}[/tex]
1 mole = Avogadro's number = 6.022 x [tex]10^{23\\[/tex] atoms
Steps to find out the volume
Molar Mass of Lithium = 6.94 g/mol
1 mole of Lithium has 6.022 x [tex]10^{23}[/tex] atoms
3.66 x [tex]10^{23}[/tex] atoms of lithium has molar mass = [tex]\frac{6.94 g}{6.022\times10^{23} } \times 3.66 \times 10^{23}[/tex]
[tex]m = 4.218 g[/tex]
Substitute in density formula,
[tex]\rho = \frac{m}{V}[/tex]
[tex]V = \frac{m}{\rho}[/tex]
[tex]=\frac{4.218g}{0.546g/cm^3}[/tex]
= 7.73 [tex]cm^3\\[/tex]
Therefore, 3.66 x [tex]10^{23}[/tex] atoms of lithium occupies 7.73 [tex]cm^3\\[/tex] of volume.
Learn more about the mole concept:
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