Final answer:
To find the mass of 1.50 x 10^15 atoms of Nitrogen, we calculate the number of moles by dividing by Avogadro's number, then multiply by the molar mass of nitrogen (28.02 g/mol) to obtain a mass of approximately 0.66 grams.
Step-by-step explanation:
To find the mass of 1.50 x 10^15 atoms of Nitrogen, we must first calculate the number of moles of nitrogen atoms this represents. Since one mole of any element consists of approximately 6.02 x 10^23 atoms (Avogadro's number), the number of moles in 1.50 x 10^15 atoms of nitrogen is calculated by dividing the number of atoms by Avogadro's number:
Number of moles = 1.50 x 10^15 atoms / (6.02 x 10^23 atoms/mol)
Next, we use the molar mass of nitrogen to find the mass. The molar mass of nitrogen (N2) is 28.02 g/mol. Now, we can calculate the mass:
Mass = (Number of moles) x (Molar mass of nitrogen)
Mass = (1.50 x 10^15 atoms / 6.02 x 10^23 atoms/mol) x 28.02 g/mol
Mass ≈ 0.70 x 10^-8 g
Mass ≈ 0.66 grams (rounded to the hundredths place)
The correct answer from the given options is c) 0.66 grams.