Input interpretation
![silicon nitride | molar mass](../image_source/178275146ad55831ceb74ba6e3086642.png)
silicon nitride | molar mass
Result
![Find the molar mass, M, for silicon nitride: 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: Si_3N_4 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i N (nitrogen) | 4 Si (silicon) | 3 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) N (nitrogen) | 4 | 14.007 Si (silicon) | 3 | 28.085 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) N (nitrogen) | 4 | 14.007 | 4 × 14.007 = 56.028 Si (silicon) | 3 | 28.085 | 3 × 28.085 = 84.255 M = 56.028 g/mol + 84.255 g/mol = 140.283 g/mol](../image_source/10164b02f6768650199f4cc5ac869c06.png)
Find the molar mass, M, for silicon nitride: 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: Si_3N_4 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i N (nitrogen) | 4 Si (silicon) | 3 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) N (nitrogen) | 4 | 14.007 Si (silicon) | 3 | 28.085 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) N (nitrogen) | 4 | 14.007 | 4 × 14.007 = 56.028 Si (silicon) | 3 | 28.085 | 3 × 28.085 = 84.255 M = 56.028 g/mol + 84.255 g/mol = 140.283 g/mol
Unit conversion
![0.14028 kg/mol (kilograms per mole)](../image_source/2bd5d441c5809ea8ef39f9ead8383b13.png)
0.14028 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.19 ≈ 1/5 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/2d7c097f4909c24607e1a3a0d66a5c54.png)
≈ ( 0.19 ≈ 1/5 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.72 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/9746276c2b8809c33af3116bfdf43134.png)
≈ 0.72 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.4 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/6aa844482bd4756d0b9efbc41b8aaf71.png)
≈ 2.4 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2.3×10^-22 grams | 2.3×10^-25 kg (kilograms) | 140 u (unified atomic mass units) | 140 Da (daltons)](../image_source/7480710455210bebe19840da502063da.png)
Mass of a molecule m from m = M/N_A: | 2.3×10^-22 grams | 2.3×10^-25 kg (kilograms) | 140 u (unified atomic mass units) | 140 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 140](../image_source/dda7e01c43a1d6d0fae8c903ae9a8c87.png)
Relative molecular mass M_r from M_r = M_u/M: | 140