Input interpretation
![hydrogen cyanide | molar mass](../image_source/5b386499f3920b34b58dd5ad2eea36fa.png)
hydrogen cyanide | molar mass
Result
![Find the molar mass, M, for hydrogen cyanide: 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: HCN Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 H (hydrogen) | 1 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) | 1 | 12.011 H (hydrogen) | 1 | 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) | 1 | 12.011 | 1 × 12.011 = 12.011 H (hydrogen) | 1 | 1.008 | 1 × 1.008 = 1.008 N (nitrogen) | 1 | 14.007 | 1 × 14.007 = 14.007 M = 12.011 g/mol + 1.008 g/mol + 14.007 g/mol = 27.026 g/mol](../image_source/96a1cac91269cbb33bd8fd1ab4de7d1a.png)
Find the molar mass, M, for hydrogen cyanide: 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: HCN Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 H (hydrogen) | 1 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) | 1 | 12.011 H (hydrogen) | 1 | 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) | 1 | 12.011 | 1 × 12.011 = 12.011 H (hydrogen) | 1 | 1.008 | 1 × 1.008 = 1.008 N (nitrogen) | 1 | 14.007 | 1 × 14.007 = 14.007 M = 12.011 g/mol + 1.008 g/mol + 14.007 g/mol = 27.026 g/mol
Unit conversion
![0.027026 kg/mol (kilograms per mole)](../image_source/aaf942a46a865bde82898f6f323800e8.png)
0.027026 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.14 ≈ 1/7 ) × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/7e476313572d8199b3dd777450635d7b.png)
≈ ( 0.14 ≈ 1/7 ) × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 0.46 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/b5115bbc22aa4c2ecacb99507d4b9117.png)
≈ 0.46 × molar mass of sodium chloride ( ≈ 58 g/mol )
![≈ 1.5 × molar mass of water ( ≈ 18 g/mol )](../image_source/3c2099d7d9de8511aa9a14bf8989bc31.png)
≈ 1.5 × molar mass of water ( ≈ 18 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 4.5×10^-23 grams | 4.5×10^-26 kg (kilograms) | 27 u (unified atomic mass units) | 27 Da (daltons)](../image_source/1ac8469cbce539975b39d8ee1e6aeb96.png)
Mass of a molecule m from m = M/N_A: | 4.5×10^-23 grams | 4.5×10^-26 kg (kilograms) | 27 u (unified atomic mass units) | 27 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 27](../image_source/7acc400d97df9b3bd128dbe783eb05e2.png)
Relative molecular mass M_r from M_r = M_u/M: | 27