Input interpretation
![soda ash | molar mass](../image_source/9ac138fdade8a9d498ae90d6f7b1250b.png)
soda ash | molar mass
Result
![Find the molar mass, M, for soda ash: 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_2CO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 Na (sodium) | 2 O (oxygen) | 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) C (carbon) | 1 | 12.011 Na (sodium) | 2 | 22.98976928 O (oxygen) | 3 | 15.999 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 Na (sodium) | 2 | 22.98976928 | 2 × 22.98976928 = 45.97953856 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 12.011 g/mol + 45.97953856 g/mol + 47.997 g/mol = 105.988 g/mol](../image_source/d4da29cdaf9767729f032bf90d9c8634.png)
Find the molar mass, M, for soda ash: 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_2CO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 Na (sodium) | 2 O (oxygen) | 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) C (carbon) | 1 | 12.011 Na (sodium) | 2 | 22.98976928 O (oxygen) | 3 | 15.999 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 Na (sodium) | 2 | 22.98976928 | 2 × 22.98976928 = 45.97953856 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 12.011 g/mol + 45.97953856 g/mol + 47.997 g/mol = 105.988 g/mol
Unit conversion
![0.10599 kg/mol (kilograms per mole)](../image_source/e56edf922e65a82e69d21436075cb43d.png)
0.10599 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.15 ≈ 1/7 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/a8c3250f794f3ff420643cd5d525b959.png)
≈ ( 0.15 ≈ 1/7 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.55 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/4c899a19255b6da3701bb6f40de32ee4.png)
≈ 0.55 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.8 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/4101b483cdcdc44dce37e9e79241fd7a.png)
≈ 1.8 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.8×10^-22 grams | 1.8×10^-25 kg (kilograms) | 106 u (unified atomic mass units) | 106 Da (daltons)](../image_source/3d085f12d9cf961e96ff8fb0d1099a50.png)
Mass of a molecule m from m = M/N_A: | 1.8×10^-22 grams | 1.8×10^-25 kg (kilograms) | 106 u (unified atomic mass units) | 106 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 106](../image_source/292e20542efa8fa908b8f22732a3c643.png)
Relative molecular mass M_r from M_r = M_u/M: | 106