Input interpretation
![sodium metasilicate | molar mass](../image_source/22a88eddfb2fbe6100678599752c4c9c.png)
sodium metasilicate | molar mass
Result
![Find the molar mass, M, for sodium metasilicate: 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: Na_2SiO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Na (sodium) | 2 O (oxygen) | 3 Si (silicon) | 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) Na (sodium) | 2 | 22.98976928 O (oxygen) | 3 | 15.999 Si (silicon) | 1 | 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) Na (sodium) | 2 | 22.98976928 | 2 × 22.98976928 = 45.97953856 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 Si (silicon) | 1 | 28.085 | 1 × 28.085 = 28.085 M = 45.97953856 g/mol + 47.997 g/mol + 28.085 g/mol = 122.062 g/mol](../image_source/421843fae4d58ea4097ca3ca629bbbeb.png)
Find the molar mass, M, for sodium metasilicate: 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: Na_2SiO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Na (sodium) | 2 O (oxygen) | 3 Si (silicon) | 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) Na (sodium) | 2 | 22.98976928 O (oxygen) | 3 | 15.999 Si (silicon) | 1 | 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) Na (sodium) | 2 | 22.98976928 | 2 × 22.98976928 = 45.97953856 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 Si (silicon) | 1 | 28.085 | 1 × 28.085 = 28.085 M = 45.97953856 g/mol + 47.997 g/mol + 28.085 g/mol = 122.062 g/mol
Unit conversion
![0.12206 kg/mol (kilograms per mole)](../image_source/c807094a7e366c7193ce0704f6c002dd.png)
0.12206 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.17 ≈ 1/6 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/3ec9659351294413a6704ec18c9a4ef6.png)
≈ ( 0.17 ≈ 1/6 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.63 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/1de313d9b33f44c5ec2cf63c8b936f45.png)
≈ 0.63 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/900a3d089a614c9af6270eca4794d1ea.png)
≈ 2.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2×10^-22 grams | 2×10^-25 kg (kilograms) | 122 u (unified atomic mass units) | 122 Da (daltons)](../image_source/0c4d5eba33cf143534d38987838fb389.png)
Mass of a molecule m from m = M/N_A: | 2×10^-22 grams | 2×10^-25 kg (kilograms) | 122 u (unified atomic mass units) | 122 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 122](../image_source/bd93b0a7d8b97b7482a240dca6b72dc0.png)
Relative molecular mass M_r from M_r = M_u/M: | 122