Question

A sample of carbon dioxide (CO2) has a mass of 52.0g. How many oxygen atoms are present?

Answer 1

To determine the number of oxygen atoms in a sample of carbon dioxide (CO₂), divide the mass of the sample by the molar mass of CO₂ and multiply by 2. The sample has 2.364 oxygen atoms.

Step-by-step explanation:

The molecular formula of carbon dioxide is CO₂, which means it consists of 1 carbon atom and 2 oxygen atoms. To determine the number of oxygen atoms in a sample of CO₂, we need to know the number of moles of CO₂. Given that the sample has a mass of 52.0g, we can calculate the number of moles of CO₂ using its molar mass.

The molar mass of carbon dioxide (CO₂) is approximately 44.01g/mol. To calculate the number of moles of CO₂, we divide the mass of the sample (52.0g) by the molar mass (44.01g/mol).

Number of moles of CO₂ = Mass of sample / Molar mass of CO₂ = 52.0g / 44.01g/mol = 1.182 mol.

Since each molecule of CO₂ has 2 oxygen atoms, we can multiply the number of moles of CO₂ by 2 to find the number of oxygen atoms:

Number of oxygen atoms = Number of moles of CO₂ * 2 = 1.182 mol * 2 = 2.364.

Answer 2

7.11 x 10²³ atoms of oxygen

Step-by-step explanation:

Given parameters:

Mass of Carbon dioxide = 52g

Unknown:

Number of oxygen atoms present = ?

Solution:

To solve this problem, we need to first find the mass of oxygen in the compound.

Molar mass of CO₂ = 12 + 2(16) = 44g/mol

Mass of oxygen =
`(32)/(44)` x 52 = 37.8g

Number of moles of oxygen =
`(mass)/(molar mass)` =
`(37.8)/(32)` = 1.18moles

So;

1 mole of a substance contains 6.02 x 10²³ atoms

1.18 mole of oxygen will contain 1.18 x 6.02 x 10²³ = 7.11 x 10²³ atoms of oxygen