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what is the atomic mass of an element if 4.00 grams of it contains 2.98x1022 atoms ?

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Answer:

Atomic mass of the element = 80.80 amu

Explanation:

Given:

Mass of element = 4.00 g

No. of atoms = [tex]2.98\times 10^{22}[/tex]

[tex]mol = \frac{No.\ of\ atoms}{Avogadro's\ no.}[/tex]

Avogadro's no. = tex]6.02\times 10^{23}[/tex]

[tex]mol = \frac{No.\ of\ atoms}{Avogadro's\ no.}[/tex]

=[tex]\frac{2.98\times 10^{22}}{6.02\times 10^{23}} = 0.0495\ mol[/tex]

Formula for moles in the terms of mass and atomic mass

[tex]mol = \frac{Mass\ in\ g}{Atomic\ mass} \\Atomic\ mass = \frac{Mass\ in\ g}{mol}[/tex]

Atomic mass of the element = [tex]\frac{4.00}{0.0495} = 80.80\ amu[/tex]

Atomic mass of the element = 80.80 amu