Input interpretation
![thorium nitrate | molar mass](../image_source/98faaeeaaa6858ee06ea51079f865240.png)
thorium nitrate | molar mass
Result
![Find the molar mass, M, for thorium nitrate: 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: Th(NO_3)_4 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i N (nitrogen) | 4 O (oxygen) | 12 Th (thorium) | 1 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) N (nitrogen) | 4 | 14.007 O (oxygen) | 12 | 15.999 Th (thorium) | 1 | 232.0377 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) N (nitrogen) | 4 | 14.007 | 4 × 14.007 = 56.028 O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 Th (thorium) | 1 | 232.0377 | 1 × 232.0377 = 232.0377 M = 56.028 g/mol + 191.988 g/mol + 232.0377 g/mol = 480.054 g/mol](../image_source/791a6550da53c3ad1efd236b4d67ae5e.png)
Find the molar mass, M, for thorium nitrate: 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: Th(NO_3)_4 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i N (nitrogen) | 4 O (oxygen) | 12 Th (thorium) | 1 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) N (nitrogen) | 4 | 14.007 O (oxygen) | 12 | 15.999 Th (thorium) | 1 | 232.0377 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) N (nitrogen) | 4 | 14.007 | 4 × 14.007 = 56.028 O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 Th (thorium) | 1 | 232.0377 | 1 × 232.0377 = 232.0377 M = 56.028 g/mol + 191.988 g/mol + 232.0377 g/mol = 480.054 g/mol
Unit conversion
![0.48005 kg/mol (kilograms per mole)](../image_source/a79a9a3d516cd7d6640e75370919fe68.png)
0.48005 kg/mol (kilograms per mole)
Comparisons
![≈ 0.67 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/ba10f70892b219905507080960d484ad.png)
≈ 0.67 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 2.5 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/619b41c87be20442f9fedf0fd5b04fd5.png)
≈ 2.5 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 8.2 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/0238d5f43d41a316dd5ef02c0f3f50e5.png)
≈ 8.2 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 8×10^-22 grams | 8×10^-25 kg (kilograms) | 480 u (unified atomic mass units) | 480 Da (daltons)](../image_source/bfd732580f54eb068274a6d715ef8069.png)
Mass of a molecule m from m = M/N_A: | 8×10^-22 grams | 8×10^-25 kg (kilograms) | 480 u (unified atomic mass units) | 480 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 480](../image_source/f0013a6315da9c515df64541528b5f71.png)
Relative molecular mass M_r from M_r = M_u/M: | 480