Input interpretation
![germanium dioxide | molar mass](../image_source/1a8319515928655066ace2f1ddbc7d19.png)
germanium dioxide | molar mass
Result
![Find the molar mass, M, for germanium dioxide: 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: GeO_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ge (germanium) | 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) Ge (germanium) | 1 | 72.630 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) Ge (germanium) | 1 | 72.630 | 1 × 72.630 = 72.630 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M = 72.630 g/mol + 31.998 g/mol = 104.628 g/mol](../image_source/ff58565f5f914ced0e613c6d51cf6cdb.png)
Find the molar mass, M, for germanium dioxide: 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: GeO_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ge (germanium) | 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) Ge (germanium) | 1 | 72.630 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) Ge (germanium) | 1 | 72.630 | 1 × 72.630 = 72.630 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M = 72.630 g/mol + 31.998 g/mol = 104.628 g/mol
Unit conversion
![0.10463 kg/mol (kilograms per mole)](../image_source/fddf3c3736e517d0e75e6d0ee32efbb8.png)
0.10463 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.15 ≈ 1/7 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/b05019869625583a23dc2922921f33c2.png)
≈ ( 0.15 ≈ 1/7 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.54 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/05ff61388ec90eb52fc6fa39d1be2087.png)
≈ 0.54 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.8 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/0856af0f925df63f3cce87d7a19e61a4.png)
≈ 1.8 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.7×10^-22 grams | 1.7×10^-25 kg (kilograms) | 105 u (unified atomic mass units) | 105 Da (daltons)](../image_source/5e120eb4888997c108676948fabe190d.png)
Mass of a molecule m from m = M/N_A: | 1.7×10^-22 grams | 1.7×10^-25 kg (kilograms) | 105 u (unified atomic mass units) | 105 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 105](../image_source/e06765f5ef5a39a449e2e95dc677a38d.png)
Relative molecular mass M_r from M_r = M_u/M: | 105