Final answer:
The mass of one bromine atom is calculated using the average atomic mass of bromine and the Avogadro constant, resulting in 1.327 × 10^-22 g.
Step-by-step explanation:
To calculate the mass of one bromine atom, we use the atomic mass of bromine and the Avogadro constant. The average atomic mass of bromine can be calculated using the isotopic masses and their respective abundances.
Bromine has two isotopes, 79Br and 81Br, with masses of 78.9183 amu and 80.9163 amu, respectively. Their abundances are 50.69% and 49.31%.
Firstly, we calculate the average atomic mass using these abundances:
Average atomic mass of Br = (0.5069 × 78.9183 amu) + (0.4931 × 80.9163 amu) = 79.904 amu
To find the mass of one atom in grams, we convert the average atomic mass from amu to grams using the Avogadro constant, which is 6.022 × 1023 atoms/mol:
Mass of one atom of Br = (79.904 amu/atom) × (1 g/6.022 × 1023 amu) = 1.327 × 10-22 g/atom
The correct answer is E. 1.327 × 10-22 g, which is the mass of one bromine atom.