a sample of carbon dioxide gas has a mass of 52.0g. how many oxygen atoms arr present?explain
To determine the number of oxygen atoms present in a sample of carbon dioxide gas, we need to follow a few steps:
1. Calculate the molar mass of carbon dioxide (CO2):
- Carbon (C) has a molar mass of approximately 12.01 g/mol.
- Oxygen (O) has a molar mass of approximately 16.00 g/mol.
- Since carbon dioxide has one carbon atom and two oxygen atoms, we can calculate its molar mass as follows:
Molar mass of CO2 = (1 * molar mass of C) + (2 * molar mass of O)
= (1 * 12.01 g/mol) + (2 * 16.00 g/mol)
= 12.01 g/mol + 32.00 g/mol
= 44.01 g/mol
2. Determine the number of moles of carbon dioxide:
- We can use the formula:
Moles = Mass / Molar mass
In this case, the mass is given as 52.0 g, and the molar mass of CO2 we calculated in step 1 is 44.01 g/mol.
Moles of CO2 = 52.0 g / 44.01 g/mol
≈ 1.18 moles (rounded to two decimal places)
3. Apply the Avogadro's number to find the number of oxygen atoms:
- Avogadro's number (NA) represents the number of particles (atoms, molecules, etc.) in one mole of substance, which is approximately 6.022 × 10^23 particles/mol.
Number of oxygen atoms = Moles of CO2 * (2 moles of O / 1 mole of CO2) * Avogadro's number
= 1.18 moles * (2 moles of O / 1 mole of CO2) * 6.022 × 10^23 particles/mol
≈ 1.42 × 10^24 oxygen atoms
Therefore, there are approximately 1.42 × 10^24 oxygen atoms present in a sample of carbon dioxide gas weighing 52.0 grams.