Input interpretation
12-dehydrotetracycline | molar mass
Result
Find the molar mass, M, for 12-dehydrotetracycline: 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_22H_22N_2O_8 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 22 H (hydrogen) | 22 N (nitrogen) | 2 O (oxygen) | 8 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) | 22 | 12.011 H (hydrogen) | 22 | 1.008 N (nitrogen) | 2 | 14.007 O (oxygen) | 8 | 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) | 22 | 12.011 | 22 × 12.011 = 264.242 H (hydrogen) | 22 | 1.008 | 22 × 1.008 = 22.176 N (nitrogen) | 2 | 14.007 | 2 × 14.007 = 28.014 O (oxygen) | 8 | 15.999 | 8 × 15.999 = 127.992 M = 264.242 g/mol + 22.176 g/mol + 28.014 g/mol + 127.992 g/mol = 442.424 g/mol
Unit conversion
0.44242 kg/mol (kilograms per mole)
Comparisons
≈ 0.61 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 2.3 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 7.6 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 7.3×10^-22 grams | 7.3×10^-25 kg (kilograms) | 442 u (unified atomic mass units) | 442 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 442