Number of Oxygen atoms in 4.4g of CO2 is
A)1.2×10^13
B)6×10^22
C)6×10^23
D)12×10^23
Please tell me correct option with the solution.
molar mass of CO2=44g/mol
We have 4.4g
n= 4.4÷44=0.1mol
CO2=0.1×6.022×10^23molecules
=6.022×10^22 molecules
1 molecule of CO2 contains 2atoms of Oxygen
6.022×10^22 molecules would contain
6.022×10^22×2=1.204×10^23
that is 1.2×10^23
To find the number of oxygen atoms in 4.4g of CO2, you need to use the concept of moles and the Avogadro's number. Here's how you can calculate it:
1. Determine the molar mass of CO2 (carbon dioxide):
- Carbon (C) has an atomic mass of 12.01 g/mol.
- Oxygen (O) has an atomic mass of 16.00 g/mol.
- Since CO2 has one carbon atom and two oxygen atoms, its molar mass is:
Molar mass of CO2 = (1 × atomic mass of carbon) + (2 × atomic mass of oxygen)
= (1 × 12.01 g/mol) + (2 × 16.00 g/mol)
= 44.01 g/mol
2. Calculate the number of moles of CO2:
- To do this, divide the given mass of CO2 (4.4g) by its molar mass:
Moles of CO2 = Mass of CO2 / Molar mass of CO2
= 4.4g / 44.01 g/mol
≈ 0.0998 moles
3. Find the number of oxygen atoms:
- Since there are two oxygen atoms in one molecule of CO2, you need to multiply the number of moles by 2:
Moles of Oxygen atoms = Moles of CO2 × 2
= 0.0998 moles × 2
≈ 0.1996 moles
4. Finally, convert moles of oxygen atoms to the number of oxygen atoms using Avogadro's number:
- Avogadro's number states that there are 6.02 × 10^23 entities (atoms, molecules, etc.) in one mole of a substance.
Number of Oxygen atoms = Moles of Oxygen atoms × Avogadro's number
= 0.1996 moles × (6.02 × 10^23 atoms/mol)
≈ 1.20 × 10^23 atoms
Therefore, the correct option is A) 1.2 × 10^23.
I would rather show you how to do it.
mols CO2 = grams CO2/molar mass CO2 = ?
Then there are 2 mols O atoms for every mols CO2
Then there are 6.02E23 O atoms in a mols of O atoms.
Unless I punched in the wrong numbers on my calculator, the correct answer isn't there.