Input interpretation
gadolinium(III) fluoride | molar mass
Result
Find the molar mass, M, for gadolinium(III) fluoride: 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: GdF_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i F (fluorine) | 3 Gd (gadolinium) | 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) F (fluorine) | 3 | 18.998403163 Gd (gadolinium) | 1 | 157.25 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) F (fluorine) | 3 | 18.998403163 | 3 × 18.998403163 = 56.995209489 Gd (gadolinium) | 1 | 157.25 | 1 × 157.25 = 157.25 M = 56.995209489 g/mol + 157.25 g/mol = 214.25 g/mol
Unit conversion
0.21425 kg/mol (kilograms per mole)
Comparisons
≈ 0.3 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 1.1 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 3.7 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 3.6×10^-22 grams | 3.6×10^-25 kg (kilograms) | 214 u (unified atomic mass units) | 214 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 214