mass fractions of copper(I) oxide

copper(I) oxide | elemental composition

Find the elemental composition for copper(I) oxide in terms of the atom and mass percents: atom percent = N_i/N_atoms × 100% mass percent = (N_im_i)/m × 100% Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i, m_i, N_atoms and m using these items. • Finally, compute the percents and check the results. Write the chemical formula: Cu_2O Use the chemical formula to count the number of atoms, N_i, for each element and find the total number of atoms, N_atoms, per molecule: | number of atoms Cu (copper) | 1 O (oxygen) | 1 N_atoms = 1 + 1 = 2 Divide each N_i by N_atoms to calculate atom fractions. Then use the property that atom fractions must sum to one to check the work: | number of atoms | atom fraction Cu (copper) | 1 | 1/2 O (oxygen) | 1 | 1/2 Check: 1/2 + 1/2 = 1 Compute atom percents using the atom fractions: | number of atoms | atom percent Cu (copper) | 1 | 1/2 × 100% = 50.0% O (oxygen) | 1 | 1/2 × 100% = 50.0% Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | number of atoms | atom percent | atomic mass/u Cu (copper) | 1 | 50.0% | 63.546 O (oxygen) | 1 | 50.0% | 15.999 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: | number of atoms | atom percent | atomic mass/u | mass/u Cu (copper) | 1 | 50.0% | 63.546 | 1 × 63.546 = 63.546 O (oxygen) | 1 | 50.0% | 15.999 | 1 × 15.999 = 15.999 m = 63.546 u + 15.999 u = 79.545 u Divide the mass for each element by m to calculate mass fractions. Then use the property that mass fractions must sum to one to check the work: | number of atoms | atom percent | mass fraction Cu (copper) | 1 | 50.0% | 63.546/79.545 O (oxygen) | 1 | 50.0% | 15.999/79.545 Check: 63.546/79.545 + 15.999/79.545 = 1 Compute mass percents using the mass fractions: Answer: | | | number of atoms | atom percent | mass percent Cu (copper) | 1 | 50.0% | 63.546/79.545 × 100% = 79.89% O (oxygen) | 1 | 50.0% | 15.999/79.545 × 100% = 20.11%

Mass fraction pie chart