Input interpretation
inulin | molar mass
Result
Find the molar mass, M, for inulin: 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_228H_382O_191 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 228 H (hydrogen) | 382 O (oxygen) | 191 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) | 228 | 12.011 H (hydrogen) | 382 | 1.008 O (oxygen) | 191 | 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) | 228 | 12.011 | 228 × 12.011 = 2738.508 H (hydrogen) | 382 | 1.008 | 382 × 1.008 = 385.056 O (oxygen) | 191 | 15.999 | 191 × 15.999 = 3055.809 M = 2738.508 g/mol + 385.056 g/mol + 3055.809 g/mol = 6179.373 g/mol
Unit conversion
6.1794 kg/mol (kilograms per mole)
Comparisons
≈ 8.6 × molar mass of fullerene ( ≈ 721 g/mol )
≈ 32 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 510 × carbon-12 molar mass ( ≈ 0.012 kg/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 1×10^-20 grams | 1×10^-23 kg (kilograms) | 6179 u (unified atomic mass units) | 6.2 kDa (kilodaltons)
Relative molecular mass M_r from M_r = M_u/M: | 6179