Input interpretation
![diazane | molar mass](../image_source/9b7369246dbfae310e89f3e28b3130be.png)
diazane | molar mass
Result
![Find the molar mass, M, for diazane: 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: NH_2NH_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i H (hydrogen) | 4 N (nitrogen) | 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) H (hydrogen) | 4 | 1.008 N (nitrogen) | 2 | 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) H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 N (nitrogen) | 2 | 14.007 | 2 × 14.007 = 28.014 M = 4.032 g/mol + 28.014 g/mol = 32.046 g/mol](../image_source/ac57d57a24649984a82ae1c8a4a7522c.png)
Find the molar mass, M, for diazane: 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: NH_2NH_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i H (hydrogen) | 4 N (nitrogen) | 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) H (hydrogen) | 4 | 1.008 N (nitrogen) | 2 | 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) H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 N (nitrogen) | 2 | 14.007 | 2 × 14.007 = 28.014 M = 4.032 g/mol + 28.014 g/mol = 32.046 g/mol
Unit conversion
![0.032046 kg/mol (kilograms per mole)](../image_source/116748ea0e76bf1806f6333312073d1d.png)
0.032046 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.17 ≈ 1/6 ) × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/c84a7529ac0a799843e9b8c3aa71c28b.png)
≈ ( 0.17 ≈ 1/6 ) × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 0.55 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/4e2505d5512db507f43dabca6563a266.png)
≈ 0.55 × molar mass of sodium chloride ( ≈ 58 g/mol )
![≈ 1.8 × molar mass of water ( ≈ 18 g/mol )](../image_source/3b7a9179a8070abbb9ddba13cc6475c1.png)
≈ 1.8 × molar mass of water ( ≈ 18 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 5.3×10^-23 grams | 5.3×10^-26 kg (kilograms) | 32 u (unified atomic mass units) | 32 Da (daltons)](../image_source/34578fd7ed3aba172cf73ff537257d3d.png)
Mass of a molecule m from m = M/N_A: | 5.3×10^-23 grams | 5.3×10^-26 kg (kilograms) | 32 u (unified atomic mass units) | 32 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 32](../image_source/fa8faa7715ce5807be4e56b5dccaf5eb.png)
Relative molecular mass M_r from M_r = M_u/M: | 32