Input interpretation
![potassium hexachlororuthenate(III) | molar mass](../image_source/54058f49882f1139c0127eadf28c6ce2.png)
potassium hexachlororuthenate(III) | molar mass
Result
![Find the molar mass, M, for potassium hexachlororuthenate(III): 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: K_3RuCl_6 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 6 K (potassium) | 1 Rh (rhodium) | 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) Cl (chlorine) | 6 | 35.45 K (potassium) | 1 | 39.0983 Rh (rhodium) | 1 | 102.90550 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) Cl (chlorine) | 6 | 35.45 | 6 × 35.45 = 212.70 K (potassium) | 1 | 39.0983 | 1 × 39.0983 = 39.0983 Rh (rhodium) | 1 | 102.90550 | 1 × 102.90550 = 102.90550 M = 212.70 g/mol + 39.0983 g/mol + 102.90550 g/mol = 354.70 g/mol](../image_source/c849ade4ccf96ecec4f0af6937d42219.png)
Find the molar mass, M, for potassium hexachlororuthenate(III): 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: K_3RuCl_6 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 6 K (potassium) | 1 Rh (rhodium) | 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) Cl (chlorine) | 6 | 35.45 K (potassium) | 1 | 39.0983 Rh (rhodium) | 1 | 102.90550 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) Cl (chlorine) | 6 | 35.45 | 6 × 35.45 = 212.70 K (potassium) | 1 | 39.0983 | 1 × 39.0983 = 39.0983 Rh (rhodium) | 1 | 102.90550 | 1 × 102.90550 = 102.90550 M = 212.70 g/mol + 39.0983 g/mol + 102.90550 g/mol = 354.70 g/mol
Unit conversion
![0.3547 kg/mol (kilograms per mole)](../image_source/c5b9e44ab163e853c9651a7df4774316.png)
0.3547 kg/mol (kilograms per mole)
Comparisons
![≈ 0.49 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/28e0a7fdb1e68d79466626ea4f332ae0.png)
≈ 0.49 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 1.8 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/af28c0978ec86a7638c98578535382d9.png)
≈ 1.8 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 6.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/8157b7187aea03354648ca14fe84666f.png)
≈ 6.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 5.9×10^-22 grams | 5.9×10^-25 kg (kilograms) | 355 u (unified atomic mass units) | 355 Da (daltons)](../image_source/2f1d5653857d2c4184152e23f873d34e.png)
Mass of a molecule m from m = M/N_A: | 5.9×10^-22 grams | 5.9×10^-25 kg (kilograms) | 355 u (unified atomic mass units) | 355 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 355](../image_source/a0c8816ad9f2020add9807deffe21465.png)
Relative molecular mass M_r from M_r = M_u/M: | 355