College

Calculate the number of oxygen molecules and the number of oxygen atoms in 35.5 g of [tex]$O_2$[/tex].

Answer :

Explanation:

Mass of oxygen given = 35.5 g

Molecular mass of oxygen = 32 g/mole.

No. of molecules of O_2 in 35.5 g of O_2

[tex]\frac{35.5}{32} \times 6.022\times10^{23}\\=6.68\times10^{23}[/tex]

Final answer:

To calculate the number of oxygen molecules and atoms in 35.5g of O2, use the concept of moles and Avogadro's number.

Explanation:

To calculate the number of oxygen molecules and the number of oxygen atoms in 35.5g of O2, we need to use the concept of moles. First, we need to convert the mass of O2 to moles using its molar mass. The molar mass of O2 is 32g/mol (16g/mol for each oxygen atom). Therefore, 35.5g of O2 is equal to 35.5g / 32g/mol = 1.109375 mol of O2.



Since there are two oxygen atoms in a molecule of O2, we can multiply the number of moles by Avogadro's number (6.022 x 1023). This gives us:



Number of oxygen molecules = 1.109375 mol x 6.022 x 1023 molecules/mol = 6.6792 x 1023 molecules



Number of oxygen atoms = 2 x (1.109375 mol x 6.022 x 1023 atoms/mol) = 1.33584 x 1024 atoms

Learn more about Moles and Avogadro's number here:

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