Input interpretation
tetracosanyl hexadecanoate | molar mass
Result
Find the molar mass, M, for tetracosanyl hexadecanoate: 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_40H_80O_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 40 H (hydrogen) | 80 O (oxygen) | 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) C (carbon) | 40 | 12.011 H (hydrogen) | 80 | 1.008 O (oxygen) | 2 | 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) | 40 | 12.011 | 40 × 12.011 = 480.440 H (hydrogen) | 80 | 1.008 | 80 × 1.008 = 80.640 O (oxygen) | 2 | 15.999 | 2 × 15.999 = 31.998 M = 480.440 g/mol + 80.640 g/mol + 31.998 g/mol = 593.078 g/mol
Unit conversion
0.5931 kg/mol (kilograms per mole)
Comparisons
≈ 0.82 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 3.1 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 10 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 9.8×10^-22 grams | 9.8×10^-25 kg (kilograms) | 593 u (unified atomic mass units) | 593 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 593