Input interpretation
![terbium(III) sulfide | molar mass](../image_source/c2d583bf847c799e7e597411db90c6fe.png)
terbium(III) sulfide | molar mass
Result
![Find the molar mass, M, for terbium(III) sulfide: 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: Tb_2S_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i S (sulfur) | 3 Tb (terbium) | 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) S (sulfur) | 3 | 32.06 Tb (terbium) | 2 | 158.92535 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) S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 Tb (terbium) | 2 | 158.92535 | 2 × 158.92535 = 317.85070 M = 96.18 g/mol + 317.85070 g/mol = 414.03 g/mol](../image_source/104e44cce6a3daff78305fdc8aaa7a6d.png)
Find the molar mass, M, for terbium(III) sulfide: 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: Tb_2S_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i S (sulfur) | 3 Tb (terbium) | 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) S (sulfur) | 3 | 32.06 Tb (terbium) | 2 | 158.92535 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) S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 Tb (terbium) | 2 | 158.92535 | 2 × 158.92535 = 317.85070 M = 96.18 g/mol + 317.85070 g/mol = 414.03 g/mol
Unit conversion
![0.41403 kg/mol (kilograms per mole)](../image_source/d48d7dcafc987fba45d8c6231095eb8e.png)
0.41403 kg/mol (kilograms per mole)
Comparisons
![≈ 0.57 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/355a9c34cef237d0aa9d81d4cf660d3e.png)
≈ 0.57 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 2.1 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/4d2543a19f416cd544ec390fa552c0e7.png)
≈ 2.1 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 7.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/d1b51aa4da1446ecfcb2fc898b637f4c.png)
≈ 7.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 6.9×10^-22 grams | 6.9×10^-25 kg (kilograms) | 414 u (unified atomic mass units) | 414 Da (daltons)](../image_source/cb31ec3bf15ed4c94dd0f06e7146c3d9.png)
Mass of a molecule m from m = M/N_A: | 6.9×10^-22 grams | 6.9×10^-25 kg (kilograms) | 414 u (unified atomic mass units) | 414 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 414](../image_source/0937afe887c7dbddc410952729cea27d.png)
Relative molecular mass M_r from M_r = M_u/M: | 414