Final answer:
The amount of hydrogen atoms in 160 g of hydrogen peroxide is twice Avogadro's number, as you first calculate the moles of H2O2, which is about 4.71 moles, and then multiply by 2 (for two hydrogen atoms per molecule) and Avogadro's number.
Step-by-step explanation:
To calculate the number of hydrogen atoms in 160 grams of hydrogen peroxide (H2O2), we need to find out how many moles of hydrogen peroxide this mass corresponds to. The molar mass of hydrogen peroxide is (2 x 1) + (2 x 16) = 34 grams per mole. Therefore, 160 grams of hydrogen peroxide is · moles of hydrogen peroxide. Each mole of hydrogen peroxide contains 2 moles of hydrogen atoms, since each molecule of hydrogen peroxide contains 2 hydrogen atoms.
Avogadro's number, which is 6.022 × 1023, represents the number of particles in one mole of a substance. Thus, the number of hydrogen atoms in 160 grams of hydrogen peroxide is · moles × 2 × Avogadro's number. We divide 160 grams by the molar mass 34 grams/mole to get approximately 4.71 moles. Consequently, there are about (4.71 moles × 2 × 6.022 × 1023)/mole, which equals approximately twice Avogadro's number. The correct answer is B) Twice Avogadro's number.