Final answer:
To find the number of hydrogen atoms in 7.30 moles of ethanol, multiply the number of moles of hydrogen per mole of ethanol (6) by the total moles of ethanol (7.30), resulting in 43.8 moles of hydrogen. Then, multiply by Avogadro's number to get approximately 2.64 × 1025 hydrogen atoms.
Step-by-step explanation:
To calculate the number of hydrogen atoms in 7.30 moles of ethanol, we first need to understand the chemical composition of ethanol. The chemical formula for ethanol is C2H6O, which indicates that each mole of ethanol contains 2 moles of carbon (C), 6 moles of hydrogen (H), and 1 mole of oxygen (O). Therefore, in one mole of ethanol, there are 6 moles of hydrogen atoms.
To find the total number of hydrogen atoms in 7.30 moles of ethanol, we multiply the number of moles of hydrogen per mole of ethanol (6) by the number of moles of ethanol (7.30):
Number of hydrogen atoms = 6 moles H/mole C2H6O × 7.30 moles C2H6O
Number of hydrogen atoms = 43.8 moles of hydrogen atoms.
Since one mole contains Avogadro's number of atoms, which is approximately 6.022 × 1023 atoms per mole, we calculate the total number of hydrogen atoms as follows:
Number of hydrogen atoms = 43.8 moles H × 6.022 × 1023 atoms/mole
Number of hydrogen atoms = approximately 2.64 × 1025 hydrogen atoms.