Input interpretation
![dimethylamine hydrochloride | molar mass](../image_source/3d7ee820694ca7e4136b669538043655.png)
dimethylamine hydrochloride | molar mass
Result
![Find the molar mass, M, for dimethylamine hydrochloride: 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: (CH_3)_2NH·HCl Use the chemical formula, (CH_3)_2NH·HCl, to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 Cl (chlorine) | 1 H (hydrogen) | 8 N (nitrogen) | 1 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) | 2 | 12.011 Cl (chlorine) | 1 | 35.45 H (hydrogen) | 8 | 1.008 N (nitrogen) | 1 | 14.007 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) | 2 | 12.011 | 2 × 12.011 = 24.022 Cl (chlorine) | 1 | 35.45 | 1 × 35.45 = 35.45 H (hydrogen) | 8 | 1.008 | 8 × 1.008 = 8.064 N (nitrogen) | 1 | 14.007 | 1 × 14.007 = 14.007 M = 24.022 g/mol + 35.45 g/mol + 8.064 g/mol + 14.007 g/mol = 81.54 g/mol](../image_source/7258cac297d33bbe1ec9eb6f7361c324.png)
Find the molar mass, M, for dimethylamine hydrochloride: 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: (CH_3)_2NH·HCl Use the chemical formula, (CH_3)_2NH·HCl, to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 Cl (chlorine) | 1 H (hydrogen) | 8 N (nitrogen) | 1 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) | 2 | 12.011 Cl (chlorine) | 1 | 35.45 H (hydrogen) | 8 | 1.008 N (nitrogen) | 1 | 14.007 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) | 2 | 12.011 | 2 × 12.011 = 24.022 Cl (chlorine) | 1 | 35.45 | 1 × 35.45 = 35.45 H (hydrogen) | 8 | 1.008 | 8 × 1.008 = 8.064 N (nitrogen) | 1 | 14.007 | 1 × 14.007 = 14.007 M = 24.022 g/mol + 35.45 g/mol + 8.064 g/mol + 14.007 g/mol = 81.54 g/mol
Unit conversion
![0.08154 kg/mol (kilograms per mole)](../image_source/f1043d228c67da09c4bf242f48bcca96.png)
0.08154 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/0f527e47b8dfd2ca8787ab329a98d58e.png)
≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.42 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/987cc708613b4f01b9d0e16a745dfc4a.png)
≈ 0.42 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.4 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/b07f6680de3916efc2d2f93eb4b4d9cc.png)
≈ 1.4 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.4×10^-22 grams | 1.4×10^-25 kg (kilograms) | 82 u (unified atomic mass units) | 82 Da (daltons)](../image_source/46b22c887d66900e0d149003a3567cea.png)
Mass of a molecule m from m = M/N_A: | 1.4×10^-22 grams | 1.4×10^-25 kg (kilograms) | 82 u (unified atomic mass units) | 82 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 82](../image_source/a3ecd0eaeb7ea1158ad9dbd0dc019448.png)
Relative molecular mass M_r from M_r = M_u/M: | 82