An organic compund has a molar mass of 178.3g/mol and contains 7.29% hydrogen atoms by mass. How many hydrogen atoms are in each molecule of this compound
1 mol of the compound weighs 178.3 g. It will have 6.02E23 molecules of the organic compound. Then number of H atoms will be 6.02E23 x 0.0729 = ?
To determine the number of hydrogen atoms in each molecule of the compound, we need to use the given information about the molar mass and percentage composition.
First, let's calculate the mass of hydrogen in one mole of the compound:
Mass of hydrogen = molar mass of the compound × percentage of hydrogen (as a decimal)
Mass of hydrogen = 178.3 g/mol × 0.0729
Mass of hydrogen = 12.994 g/mol
Next, we need to calculate the number of moles of hydrogen in one mole of the compound:
Number of moles of hydrogen = mass of hydrogen / molar mass of hydrogen
Number of moles of hydrogen = 12.994 g/mol / 1.00784 g/mol (molar mass of hydrogen)
Number of moles of hydrogen ≈ 12.90 mol
Finally, we can use Avogadro's number to convert the number of moles to the number of atoms:
Number of hydrogen atoms = number of moles of hydrogen × Avogadro's number
Number of hydrogen atoms = 12.90 mol × 6.022 × 10^23 atoms/mol
Number of hydrogen atoms ≈ 7.77 × 10^24 atoms
Therefore, each molecule of this compound contains approximately 7.77 × 10^24 hydrogen atoms.