Answer: There are 3.011 × [tex]10^{23}[/tex] atoms of carbon-12 in the sample. One mole of atoms contains 6.022 × [tex]10^{23}[/tex] atoms. This number is called Avogadro's Number. Since there is only 0.5 moles of carbon-12 in the sample, the number of atoms will be 1/2 of Avogadro's number.
Further Explanation:
Since atoms are very very tiny particles, chemists count them in bundles called "moles". According to Avogadro, one mole of a particle contains 6.022 × [tex]10^{23}[/tex] units of that particle. This is similar to saying one sack of rice contains probably a million grains of rice. The sack is the "mole" and the number of grains of rice is "Avogadro's number" or the number of particles in one mole.
In the problem, 6.00 g of sample is given. To determine how many moles of carbon sample this is, we must convert it from grams to moles using the equation:
[tex]no.\ of \ moles \ = (given\ mass) \ (\frac{1\ mol\ }{molar \ mass})\\ \\no.\ of \ moles \ = (6.00\ g\ C)(\(\frac{1\ mol\ C}{12\ g\ C}) \\no.\ of \ moles \ = 0.5[/tex]
Therefore, the sample is equivalent to 0.5 moles of carbon-12.
If one mole of carbon-12, according to Avogadro, contains 6.022 × [tex]10^{23}[/tex] carbon-12 atoms, then 0.5 moles will contain half this number of atoms or 3.011 × [tex]10^{23}[/tex].
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Keywords: moles, Avogadro's number
