Calculate the number of americium-241 atoms present in a smoke alarm containing 0.60 $\mu$g of radioactive ²⁴¹Am (241.06 g/mol).

Question

Quizplus · Accepted Answer

To calculate the number of americium-241 atoms in 0.60 micrograms of the substance, use the formula: number of atoms = (mass / molar mass) * Avogadro's number. First, convert micrograms to grams: 0.60 μg = 0.60 x 10^-6 g. Then, calculate the number of moles: 0.60 x 10^-6 g / 241.06 g/mol ≈ 2.49 x 10^-9 mol. Finally, multiply by Avogadro's number (6.022 x 10^23 atoms/mol): 2.49 x 10^-9 mol x 6.022 x 10^23 atoms/mol ≈ 1.5 x 10^15 atoms.

Calculate the Number of Americium-241 Atoms Present in a Smoke μ\muμ

Calculate the Number of Americium-241 Atoms Present in a Smoke $\mu$