Answer :
Final answer:
The mass of chlorine in 5.00 grams of CCl4 is 4.60 grams, calculated using the molar mass of CCl4 and the mole fraction of chlorine in the compound.
Explanation:
To determine the mass of chlorine present in 5.00 grams of carbon tetrachloride (CCl4), we first need to know the molar mass of CCl4 and the average atomic mass of chlorine. The molar mass of CCl4 is calculated by adding the atomic mass of carbon (approximately 12.01 g/mol) to four times the average atomic mass of chlorine. The average mass of chlorine is the fraction that is 35Cl times the mass of 35Cl plus the fraction that is 37Cl times the mass of 37Cl.
The average atomic mass of chlorine is approximately 35.45 u. Thus, the molar mass of CCl4 is 12.01 g/mol for carbon plus 4 times 35.45 g/mol for chlorine, totaling approximately 153.81 g/mol.
The next step is to calculate the mole fraction of chlorine in CCl4. Since there are four chlorine atoms per molecule of CCl4, the mass of chlorine accounts for (4 x 35.45) / 153.81 = approximately 0.92, or 92% of the mass of CCl4.
To find the mass of chlorine in 5.00 grams of CCl4, multiply the total mass by the mole fraction of chlorine:
5.00 g CCl4 x 0.92 = 4.60 grams of chlorine
