How many phosphorus atoms are contained in 158 kg of phosphorus? A) 3.07 × 10²⁷ phosphorus atoms B) 2.95 × 10²⁷ phosphorus atoms C) 3.25 × 10²⁸ phosphorus atoms D) 1.18× 10²⁴ phosphorus atoms E) 8.47 × 10²⁴phosphorus atoms

Question

Quizplus · Accepted Answer

To find the number of phosphorus atoms in 158 kg of phosphorus, use Avogadro's number (6.022 × 10^23 atoms/mol) and the molar mass of phosphorus (approximately 31 g/mol). Convert 158 kg to grams (158,000 g), divide by the molar mass to find moles of phosphorus, and then multiply by Avogadro's number: (158,000 g / 31 g/mol) × (6.022 × 10^23 atoms/mol) ≈ 3.07 × 10^27 phosphorus atoms.

How Many Phosphorus Atoms Are Contained in 158 Kg of Phosphorus