Input interpretation
terbium(III) perchlorate | molar mass
Result
Find the molar mass, M, for terbium(III) perchlorate: 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(ClO_4)_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 3 O (oxygen) | 12 Tb (terbium) | 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) | 3 | 35.45 O (oxygen) | 12 | 15.999 Tb (terbium) | 1 | 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) Cl (chlorine) | 3 | 35.45 | 3 × 35.45 = 106.35 O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 Tb (terbium) | 1 | 158.92535 | 1 × 158.92535 = 158.92535 M = 106.35 g/mol + 191.988 g/mol + 158.92535 g/mol = 457.26 g/mol
Unit conversion
0.4573 kg/mol (kilograms per mole)
Comparisons
≈ 0.63 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 2.4 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 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)
Relative molecular mass M_r from M_r = M_u/M: | 457