Input interpretation
![thallium(III) oxide | molar mass](../image_source/dbe6b905f047f0e1bc114d5a1b1905a7.png)
thallium(III) oxide | molar mass
Result
![Find the molar mass, M, for thallium(III) 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: Tl_2O_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i O (oxygen) | 3 Tl (thallium) | 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) O (oxygen) | 3 | 15.999 Tl (thallium) | 2 | 204.38 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) O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 Tl (thallium) | 2 | 204.38 | 2 × 204.38 = 408.76 M = 47.997 g/mol + 408.76 g/mol = 456.76 g/mol](../image_source/f6e1c64be27726c40571a8daeadbc988.png)
Find the molar mass, M, for thallium(III) 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: Tl_2O_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i O (oxygen) | 3 Tl (thallium) | 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) O (oxygen) | 3 | 15.999 Tl (thallium) | 2 | 204.38 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) O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 Tl (thallium) | 2 | 204.38 | 2 × 204.38 = 408.76 M = 47.997 g/mol + 408.76 g/mol = 456.76 g/mol
Unit conversion
![0.45676 kg/mol (kilograms per mole)](../image_source/032f2e53fa346d081b7c085437013170.png)
0.45676 kg/mol (kilograms per mole)
Comparisons
![≈ 0.63 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/2e6a41f8260d253b94487347c18f1ec9.png)
≈ 0.63 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 2.4 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/fd343fc2644fd1d181156de22bfa0f5d.png)
≈ 2.4 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 7.8 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/5be77cf37c93231ae541f47734e50a04.png)
≈ 7.8 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 7.6×10^-22 grams | 7.6×10^-25 kg (kilograms) | 457 u (unified atomic mass units) | 457 Da (daltons)](../image_source/b793959dd847bb13e02656e603616654.png)
Mass of a molecule m from m = M/N_A: | 7.6×10^-22 grams | 7.6×10^-25 kg (kilograms) | 457 u (unified atomic mass units) | 457 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 457](../image_source/8b8690aaacca738b6c367de45548c152.png)
Relative molecular mass M_r from M_r = M_u/M: | 457