Input interpretation
lutetium sulfide | molar mass
Result
Find the molar mass, M, for lutetium 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: Lu_2S_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Lu (lutetium) | 2 S (sulfur) | 3 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) Lu (lutetium) | 2 | 174.9668 S (sulfur) | 3 | 32.06 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) Lu (lutetium) | 2 | 174.9668 | 2 × 174.9668 = 349.9336 S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 M = 349.9336 g/mol + 96.18 g/mol = 446.11 g/mol
Unit conversion
0.44611 kg/mol (kilograms per mole)
Comparisons
≈ 0.62 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 2.3 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 7.6 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 7.4×10^-22 grams | 7.4×10^-25 kg (kilograms) | 446 u (unified atomic mass units) | 446 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 446