Final answer:
The mass in grams of 4.5 x 10^12 atoms of chlorine is 0.149 grams.
Step-by-step explanation:
To calculate the mass in grams of 4.5 x 10^12 atoms of chlorine, we need to know the molar mass of chlorine which is the average atomic mass of chlorine.
Chlorine has two naturally occurring isotopes: chlorine-35 and chlorine-37. The average atomic mass of chlorine is calculated using the percent abundances of these two isotopes:
Chlorine-35: atomic mass = 34.969 amu and percent abundance = 75.77%
Chlorine-37: atomic mass = 36.966 amu and percent abundance = 24.23%
Using these values, we can calculate the average atomic mass of chlorine as (0.7577 x 34.969) + (0.2423 x 36.966) = 35.46 amu.
To convert amu to grams, we need to use the molar mass of chlorine, which is 35.46 g/mol.
Therefore, the mass in grams of 4.5 x 10^12 atoms of chlorine is:
(4.5 x 10^12 atoms) x (35.46 g/mol) / (6.022 x 10^23 atoms/mol) = 0.149 grams