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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 = \(2.98\times 10^{22}\)

\(mol = \frac{No.\ of\ atoms}{Avogadro's\ no.}\)

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

\(mol = \frac{No.\ of\ atoms}{Avogadro's\ no.}\)

=\(\frac{2.98\times 10^{22}}{6.02\times 10^{23}} = 0.0495\ mol\)

Formula for moles in the terms of mass and atomic mass

\(mol = \frac{Mass\ in\ g}{Atomic\ mass} \\Atomic\ mass = \frac{Mass\ in\ g}{mol}\)

Atomic mass of the element = \(\frac{4.00}{0.0495} = 80.80\ amu\)

Atomic mass of the element = 80.80 amu