Answer :
Final answer:
The mass of Cl in a 38.0 g sample of CF2Cl2 is approximately 22.36 g. We calculated this by finding the molar mass of CF2Cl2 and the mass proportion of Cl, which is not given in the options provided, indicating a possible typo.
Explanation:
To calculate the mass of Cl in a 38.0 g sample of the chlorofluorocarbon CF2Cl2, we first need to find the molar mass of CF2Cl2.
The molar mass of CF2Cl2 is calculated by adding the atomic masses of all atoms in the molecule:
- Carbon (C) = 12.01 g/mol x 1 = 12.01 g/mol
- Fluorine (F) = 19.00 g/mol x 2 = 38.00 g/mol
- Chlorine (Cl) = 35.45 g/mol x 2 = 70.90 g/mol
The total molar mass of CF2Cl2 = 12.01 g/mol + 38.00 g/mol + 70.90 g/mol = 120.91 g/mol.
Now, to find the mass of Cl in the sample, we use the ratio of the mass of Cl in the molecule to the molar mass of CF2Cl2:
(Mass of Cl in CF2Cl2) / (Molar mass of CF2Cl2) = Portion of the total mass that is Cl
(70.90 g/mol) / (120.91 g/mol) = x g / (38.0 g)
Solving for x gives us the mass of Cl in our sample:
x = (70.90 g/mol / 120.91 g/mol) * 38.0 g = 22.36 g
Therefore, the mass of Cl in a 38.0 g sample of CF2Cl2 is approximately 22.36 g, which is not one of the provided options. This indicates there may be a typo in the question or the options provided.
