Input interpretation
dihydrocodeinone | molar mass
Result
Find the molar mass, M, for dihydrocodeinone: 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: C_18H_21NO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 18 H (hydrogen) | 21 N (nitrogen) | 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) C (carbon) | 18 | 12.011 H (hydrogen) | 21 | 1.008 N (nitrogen) | 1 | 14.007 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) C (carbon) | 18 | 12.011 | 18 × 12.011 = 216.198 H (hydrogen) | 21 | 1.008 | 21 × 1.008 = 21.168 N (nitrogen) | 1 | 14.007 | 1 × 14.007 = 14.007 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 216.198 g/mol + 21.168 g/mol + 14.007 g/mol + 47.997 g/mol = 299.370 g/mol
Unit conversion
0.29937 kg/mol (kilograms per mole)
Comparisons
≈ 0.42 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 1.5 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 5.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 5×10^-22 grams | 5×10^-25 kg (kilograms) | 299 u (unified atomic mass units) | 299 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 299