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Chemists generally use the mole as the unit for the number of atoms or molecules of a material. One mole (abbreviated mol) is equal to 6.022×1023 molecular entities (Avogadro's number), and each element has a different molar mass depending on the weight of 6.022×1023 of its atoms (1 mole).

Answer: The number of atoms in given amount of carbon are [tex]2.78\times 10^{24}[/tex]

Explanation:

We are given:

Moles of carbon atom = 4.61 moles

According to mole concept:

1 mole of a n element contains [tex]6.022\times 10^{23}[/tex] number of atoms

So, 4.61 moles of carbon will contain [tex](4.61\times 6.022\times 10^{23})=2.78\times 10^{24}[/tex] number of atoms.

Hence, the number of atoms in given amount of carbon are [tex]2.78\times 10^{24}[/tex]