Input interpretation
magnesium chromite | molar mass
Result
Find the molar mass, M, for magnesium chromite: 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: MgCr_2O_4 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cr (chromium) | 1 Mg (magnesium) | 1 O (oxygen) | 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) Cr (chromium) | 1 | 51.9961 Mg (magnesium) | 1 | 24.305 O (oxygen) | 3 | 15.999 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) Cr (chromium) | 1 | 51.9961 | 1 × 51.9961 = 51.9961 Mg (magnesium) | 1 | 24.305 | 1 × 24.305 = 24.305 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 51.9961 g/mol + 24.305 g/mol + 47.997 g/mol = 124.298 g/mol
Unit conversion
0.1243 kg/mol (kilograms per mole)
Comparisons
≈ ( 0.17 ≈ 1/6 ) × molar mass of fullerene ( ≈ 721 g/mol )
≈ 0.64 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 2.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 2.1×10^-22 grams | 2.1×10^-25 kg (kilograms) | 124 u (unified atomic mass units) | 124 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 124