Input interpretation
calcium nitride | molar mass
Result
Find the molar mass, M, for calcium nitride: 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: Ca_3N_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 3 N (nitrogen) | 2 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) Ca (calcium) | 3 | 40.078 N (nitrogen) | 2 | 14.007 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) Ca (calcium) | 3 | 40.078 | 3 × 40.078 = 120.234 N (nitrogen) | 2 | 14.007 | 2 × 14.007 = 28.014 M = 120.234 g/mol + 28.014 g/mol = 148.248 g/mol
Unit conversion
0.14825 kg/mol (kilograms per mole)
Comparisons
≈ ( 0.21 ≈ 1/5 ) × molar mass of fullerene ( ≈ 721 g/mol )
≈ 0.76 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 2.5 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 2.5×10^-22 grams | 2.5×10^-25 kg (kilograms) | 148 u (unified atomic mass units) | 148 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 148