Input interpretation
![copper(II) niobate | relative molecular mass](../image_source/251c92f81e4d03a3e5b5105ff93bad65.png)
copper(II) niobate | relative molecular mass
Result
![Find the relative molecular mass, M_r, for copper(II) niobate: M_r = sum _iN_im_i/m_u 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: Cu(NbO_3)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cu (copper) | 1 Nb (niobium) | 2 O (oxygen) | 6 Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table. Since m_i is divided by the atomic mass constant, m_u, the result is a unitless relative atomic mass: | N_i | m_i/m_u Cu (copper) | 1 | 63.546 Nb (niobium) | 2 | 92.90637 O (oxygen) | 6 | 15.999 Multiply N_i by m_i/m_u to compute the relative mass for each element. Then sum those values to compute the relative molecular mass, M_r: Answer: | | | N_i | m_i/m_u | relative mass Cu (copper) | 1 | 63.546 | 1 × 63.546 = 63.546 Nb (niobium) | 2 | 92.90637 | 2 × 92.90637 = 185.81274 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 M_r = 63.546 + 185.81274 + 95.994 = 345.353](../image_source/cdcb324edad7d2600e5876c3695bd960.png)
Find the relative molecular mass, M_r, for copper(II) niobate: M_r = sum _iN_im_i/m_u 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: Cu(NbO_3)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cu (copper) | 1 Nb (niobium) | 2 O (oxygen) | 6 Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table. Since m_i is divided by the atomic mass constant, m_u, the result is a unitless relative atomic mass: | N_i | m_i/m_u Cu (copper) | 1 | 63.546 Nb (niobium) | 2 | 92.90637 O (oxygen) | 6 | 15.999 Multiply N_i by m_i/m_u to compute the relative mass for each element. Then sum those values to compute the relative molecular mass, M_r: Answer: | | | N_i | m_i/m_u | relative mass Cu (copper) | 1 | 63.546 | 1 × 63.546 = 63.546 Nb (niobium) | 2 | 92.90637 | 2 × 92.90637 = 185.81274 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 M_r = 63.546 + 185.81274 + 95.994 = 345.353
Comparisons
![≈ 0.48 × relative molecular mass of fullerene ( ≈ 721 )](../image_source/c2c6d22e86975a6dbdd264d4974d1903.png)
≈ 0.48 × relative molecular mass of fullerene ( ≈ 721 )
![≈ 1.8 × relative molecular mass of caffeine ( ≈ 194 )](../image_source/7ab751c439366ceb6090c90e33edd64a.png)
≈ 1.8 × relative molecular mass of caffeine ( ≈ 194 )
![≈ 5.9 × relative molecular mass of sodium chloride ( ≈ 58 )](../image_source/a1ef0305e1fa4403681373a76045e355.png)
≈ 5.9 × relative molecular mass of sodium chloride ( ≈ 58 )
Corresponding quantities
![Molar mass M from M = M_uM_r: | 345 g/mol (grams per mole)](../image_source/7a87ca5075df9ce36b627d0b648810ec.png)
Molar mass M from M = M_uM_r: | 345 g/mol (grams per mole)
![Molecular mass m from m = M_rM_u/N_A: | 5.7×10^-22 grams | 5.7×10^-25 kg (kilograms)](../image_source/cc52a9b40a33e2aea443a124b93d707f.png)
Molecular mass m from m = M_rM_u/N_A: | 5.7×10^-22 grams | 5.7×10^-25 kg (kilograms)