Final answer:
To find the number of oxygen atoms in a sample of carbon dioxide, multiply the number of carbon dioxide molecules by two, as each molecule contains two oxygen atoms. Use Avogadro's number and the volume of the sample to calculate the number of carbon dioxide molecules, and then multiply by two to find the number of oxygen atoms.
Step-by-step explanation:
To determine the number of oxygen atoms in a sample of carbon dioxide, we need to know the number of carbon dioxide molecules in the sample. We can then multiply this number by two, since each carbon dioxide molecule contains two oxygen atoms.
Given that the volume of the sample is 56.0 cm3, we need to convert it to the number of carbon dioxide molecules using Avogadro's number (6.02 x 1023 molecules/mol).
Using the formula:
Number of molecules = (Volume / molar volume) x Avogadro's number
Number of carbon dioxide molecules = (56.0 cm3 / 22.4 L/mol) x (6.02 x 1023 molecules/mol) = 1.35 x 1023 molecules
Therefore, the number of oxygen atoms in the sample is 2.70 x 1023 atoms (as each molecule contains two oxygen atoms).