Input interpretation
3-hydroxy-3-methylglutaric acid | molar mass
Result
Find the molar mass, M, for 3-hydroxy-3-methylglutaric acid: 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: HOC(CH_3)(CH_2CO_2H)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 6 H (hydrogen) | 10 O (oxygen) | 5 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) | 6 | 12.011 H (hydrogen) | 10 | 1.008 O (oxygen) | 5 | 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) | 6 | 12.011 | 6 × 12.011 = 72.066 H (hydrogen) | 10 | 1.008 | 10 × 1.008 = 10.080 O (oxygen) | 5 | 15.999 | 5 × 15.999 = 79.995 M = 72.066 g/mol + 10.080 g/mol + 79.995 g/mol = 162.141 g/mol
Unit conversion
0.16214 kg/mol (kilograms per mole)
Comparisons
≈ ( 0.22 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
≈ 0.83 × molar mass of caffeine ( ≈ 194 g/mol )
≈ 2.8 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
Mass of a molecule m from m = M/N_A: | 2.7×10^-22 grams | 2.7×10^-25 kg (kilograms) | 162 u (unified atomic mass units) | 162 Da (daltons)
Relative molecular mass M_r from M_r = M_u/M: | 162