Final answer:
The average mass of a single chlorine atom is 5.89 x 10^-23 grams
Step-by-step explanation:
The average mass of a single chlorine atom can be determined by considering the relative atomic mass of the two isotopes of chlorine: chlorine-35 and chlorine-37. The average mass is calculated by multiplying the abundance of each isotope by its mass and then adding the products together. For chlorine, the average mass is:
(0.758 x 35) + (0.242 x 37) = 35.45 atomic mass units (amu)
To convert this to grams, we can use the relationship that 1 amu is equal to 1.66054 x 10^-24 grams. Therefore:
35.45 amu = 35.45 x 1.66054 x 10^-24 grams = 5.89 x 10^-23 grams