Calculate the numbber of electrons in 100 grams of CO2?
**Calculating the Number of Electrons in 100 grams of CO2**
To calculate the number of electrons in 100 grams of CO2, we need to consider the molecular formula of CO2 and the atomic composition of carbon and oxygen.
**1. Molecular Formula of CO2:**
The molecular formula of carbon dioxide (CO2) indicates that it consists of one carbon atom (C) and two oxygen atoms (O).
**2. Atomic Composition:**
To determine the number of electrons in CO2, we need to know the atomic composition of carbon and oxygen. The atomic number of carbon is 6, indicating that it has 6 protons and 6 electrons. Oxygen has an atomic number of 8, which means it has 8 protons and 8 electrons.
**3. Atomic Masses:**
The atomic mass of carbon is approximately 12.01 grams per mole, while the atomic mass of oxygen is about 16.00 grams per mole.
**4. Calculating Molar Mass:**
To calculate the molar mass of CO2, we need to add up the atomic masses of carbon and oxygen. Since there are two oxygen atoms in CO2, we multiply the atomic mass of oxygen by 2:
Molar mass of CO2 = (12.01 g/mol) + 2(16.00 g/mol)
Molar mass of CO2 = 12.01 g/mol + 32.00 g/mol
Molar mass of CO2 = 44.01 g/mol
**5. Calculating Moles:**
To determine the number of moles in 100 grams of CO2, we use the formula:
Moles = Mass / Molar mass
Moles = 100 g / 44.01 g/mol
Moles ≈ 2.27 mol
**6. Avogadro's Number:**
Avogadro's number (6.022 x 10^23) represents the number of particles (atoms, molecules, or ions) in one mole of a substance.
**7. Calculating the Number of Electrons:**
Since there are two oxygen atoms in each molecule of CO2, we need to consider the total number of electrons from both oxygen atoms. Each oxygen atom has 8 electrons, so the total number of electrons from oxygen is:
Total number of electrons from oxygen = 2 x 8 = 16 electrons
Additionally, there is one carbon atom in each molecule of CO2, which contributes 6 electrons.
Therefore, the total number of electrons in one molecule of CO2 is 16 + 6 = 22 electrons.
**8. Multiplying by the Number of Moles:**
To find the number of electrons in 100 grams of CO2, we multiply the number of electrons in one molecule (22 electrons) by the number of moles (2.27 mol):
Number of electrons in 100 grams of CO2 = 22 electrons/molecule x 2.27 mol
Number of electrons in 100 grams of CO2 ≈ 50 electrons
Therefore, there are approximately 50 electrons in 100 grams of CO2.
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