floresgonzalesf5939 floresgonzalesf5939
  • 08-08-2018
  • Chemistry
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How many grams of magnesium (Mg, 24.30 g/mol) are in 7.43x10^22 atoms of Mg?

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Chlidonias
Chlidonias Chlidonias
  • 08-08-2018

Given the number of Mg atoms is [tex] 7.43 * 10^{22} atoms [/tex]

We know that 1 mol of any substance has Avogadro number [tex] (6.022 * 10^{23}) [/tex] of formula units.

Converting number of atoms to mol:

[tex] 7.43 * 10^{22} atoms * \frac{1 mol}{6.022*10^{23} atoms} = 0.123 mol Mg [/tex]

Converting mol to mass of Mg:

[tex] 0.123 mol * \frac{24.30 g}{1 mol} = 2.99 g Mg [/tex]

Therefore mass of Mg is 2.99 g

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