Total Number of Electrons in CO2 Sample

Given: Total number of electrons in the sample of CO2 = 4.4 * 10^26

To find: Total number of atoms present in the sample

Solution:

CO2 is a molecule composed of one carbon atom (C) and two oxygen atoms (O). In order to find the total number of atoms present in the sample, we need to determine the number of CO2 molecules based on the given number of electrons.

1. Calculate the number of CO2 molecules:

- The molecular formula of carbon dioxide is CO2, which means it contains one carbon atom and two oxygen atoms.
- The total number of electrons in the sample represents the sum of electrons in all the CO2 molecules.
- Each CO2 molecule contains 2 oxygen atoms, each contributing 8 electrons, and 1 carbon atom contributing 6 electrons.
- Therefore, the total number of electrons in one CO2 molecule is 8 + 8 + 6 = 22.
- Now, we can calculate the number of CO2 molecules by dividing the total number of electrons in the sample by the number of electrons in one CO2 molecule.
- Number of CO2 molecules = Total number of electrons in the sample / Number of electrons in one CO2 molecule
- Number of CO2 molecules = 4.4 * 10^26 / 22

2. Calculate the total number of atoms:

- Each CO2 molecule consists of 3 atoms: 1 carbon atom and 2 oxygen atoms.
- Therefore, the total number of atoms in the sample is equal to the number of CO2 molecules multiplied by 3.
- Total number of atoms = Number of CO2 molecules * 3

3. Substitute the calculated value:

Substituting the value of the number of CO2 molecules calculated in step 1 into step 2, we can find the total number of atoms in the sample.

Total number of atoms = (4.4 * 10^26 / 22) * 3

4. Calculate the final answer:

Using the above formula, we can calculate the total number of atoms in the sample.

Total number of atoms = 6.6 * 10^25

Therefore, the total number of atoms present in the sample of CO2 is 6.6 * 10^25.