Input interpretation
![barium sodium niobium oxide | molar mass](../image_source/7d106fc9e70a8134a78f2b72583e57fa.png)
barium sodium niobium oxide | molar mass
Result
![Find the molar mass, M, for barium sodium niobium oxide: 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: Ba_2NaNb_5O_15 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ba (barium) | 2 Na (sodium) | 1 Nb (niobium) | 5 O (oxygen) | 15 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) Ba (barium) | 2 | 137.327 Na (sodium) | 1 | 22.98976928 Nb (niobium) | 5 | 92.90637 O (oxygen) | 15 | 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) Ba (barium) | 2 | 137.327 | 2 × 137.327 = 274.654 Na (sodium) | 1 | 22.98976928 | 1 × 22.98976928 = 22.98976928 Nb (niobium) | 5 | 92.90637 | 5 × 92.90637 = 464.53185 O (oxygen) | 15 | 15.999 | 15 × 15.999 = 239.985 M = 274.654 g/mol + 22.98976928 g/mol + 464.53185 g/mol + 239.985 g/mol = 1002.161 g/mol](../image_source/ee0fc4e17585763c3fd2e8c29050135e.png)
Find the molar mass, M, for barium sodium niobium oxide: 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: Ba_2NaNb_5O_15 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ba (barium) | 2 Na (sodium) | 1 Nb (niobium) | 5 O (oxygen) | 15 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) Ba (barium) | 2 | 137.327 Na (sodium) | 1 | 22.98976928 Nb (niobium) | 5 | 92.90637 O (oxygen) | 15 | 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) Ba (barium) | 2 | 137.327 | 2 × 137.327 = 274.654 Na (sodium) | 1 | 22.98976928 | 1 × 22.98976928 = 22.98976928 Nb (niobium) | 5 | 92.90637 | 5 × 92.90637 = 464.53185 O (oxygen) | 15 | 15.999 | 15 × 15.999 = 239.985 M = 274.654 g/mol + 22.98976928 g/mol + 464.53185 g/mol + 239.985 g/mol = 1002.161 g/mol
Unit conversion
![1.00216 kg/mol (kilograms per mole)](../image_source/92c0b46fe96d6c04113c3e27e18de257.png)
1.00216 kg/mol (kilograms per mole)
Comparisons
![≈ 1.4 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/64d0ff9122bac82888f691c090a331a5.png)
≈ 1.4 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 5.2 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/d10b2c8f9307b0815f8195de7afb244b.png)
≈ 5.2 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 17 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/6ee98b5fbd413c20604e07ddca81fd24.png)
≈ 17 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.7×10^-21 grams | 1.7×10^-24 kg (kilograms) | 1002 u (unified atomic mass units) | 1 kDa (kilodalton)](../image_source/597036f6b2937b185fde9ed3fb307bfb.png)
Mass of a molecule m from m = M/N_A: | 1.7×10^-21 grams | 1.7×10^-24 kg (kilograms) | 1002 u (unified atomic mass units) | 1 kDa (kilodalton)
![Relative molecular mass M_r from M_r = M_u/M: | 1002](../image_source/0a4b49abd0f89e560fc47f2ccea0d2fc.png)
Relative molecular mass M_r from M_r = M_u/M: | 1002