Input interpretation
titanium(III) sulfate | molar mass
Result
Find the molar mass, M, for titanium(III) sulfate: 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: Ti_2(SO_4)_3 Use the chemical formula to count the number of atoms, N_i, for each element: | number of atoms O (oxygen) | 12 S (sulfur) | 3 Ti (titanium) | 2 Look up the atomic mass, m_i, in g·mol^(-1) for each element in the periodic table: | number of atoms | atomic mass/g·mol^(-1) O (oxygen) | 12 | 15.999 S (sulfur) | 3 | 32.06 Ti (titanium) | 2 | 47.867 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molar mass, M: Answer: | | | number of atoms | atomic mass/g·mol^(-1) | mass/g·mol^(-1) O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 Ti (titanium) | 2 | 47.867 | 2 × 47.867 = 95.734 M = 191.988 g/mol + 96.18 g/mol + 95.734 g/mol = 383.90 g/mol
Unit conversion
0.3839 kg/mol (kilograms per mole)
Comparisons
≈ 0.53 × molar mass of fullerene (≈ 721 g/mol )
≈ 2 × molar mass of caffeine (≈ 194 g/mol )
≈ 6.6 × molar mass of sodium chloride (≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 6.4×10^-22 grams | 6.4×10^-25 kg (kilograms) | 384 u (unified atomic mass units) | 384 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 384