Input interpretation
![ceric oxide | molar mass](../image_source/93bb7b579346e3cc76d5147f83c5a48e.png)
ceric oxide | molar mass
Result
![Find the molar mass, M, for ceric oxide: M = sum _iN_im_i Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i and m_i using these items. • Finally, compute the mass. Write the chemical formula: CeO_2 Use the chemical formula, CeO_2, to count the number of atoms, N_i, for each element: | N_i Ce (cerium) | 1 O (oxygen) | 2 Look up the atomic mass, m_i, in g·mol^(-1) for each element in the periodic table: | N_i | m_i/g·mol^(-1) Ce (cerium) | 1 | 140.116 O (oxygen) | 2 | 15.999 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molar mass, M: Answer: | | | N_i | m_i/g·mol^(-1) | mass/g·mol^(-1) Ce (cerium) | 1 | 140.116 | 1 × 140.116 = 140.116 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M = 140.116 g/mol + 31.998 g/mol = 172.114 g/mol](../image_source/a4344f1136a614a68a1ae2f3cad17806.png)
Find the molar mass, M, for ceric oxide: M = sum _iN_im_i Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i and m_i using these items. • Finally, compute the mass. Write the chemical formula: CeO_2 Use the chemical formula, CeO_2, to count the number of atoms, N_i, for each element: | N_i Ce (cerium) | 1 O (oxygen) | 2 Look up the atomic mass, m_i, in g·mol^(-1) for each element in the periodic table: | N_i | m_i/g·mol^(-1) Ce (cerium) | 1 | 140.116 O (oxygen) | 2 | 15.999 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molar mass, M: Answer: | | | N_i | m_i/g·mol^(-1) | mass/g·mol^(-1) Ce (cerium) | 1 | 140.116 | 1 × 140.116 = 140.116 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M = 140.116 g/mol + 31.998 g/mol = 172.114 g/mol
Unit conversion
![0.172114 kg/mol (kilograms per mole)](../image_source/251c97c9ecd636313870757d5eb8e0c5.png)
0.172114 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/43b702a7fe1a9a9b2dd657df58249d92.png)
≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.89 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/0074017b9c470614bbd0b53f837f1d9c.png)
≈ 0.89 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/d491574c9b5656ce4dfa5a26480143e4.png)
≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2.9×10^-22 grams | 2.9×10^-25 kg (kilograms) | 172 u (unified atomic mass units) | 172 Da (daltons)](../image_source/e246e3e05c1525726994a4ee1fcb835e.png)
Mass of a molecule m from m = M/N_A: | 2.9×10^-22 grams | 2.9×10^-25 kg (kilograms) | 172 u (unified atomic mass units) | 172 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 172](../image_source/d5216afdbb5fdff92395f636b3190eb9.png)
Relative molecular mass M_r from M_r = M_u/M: | 172