Input interpretation
![lutetium(III) trifluoromethanesulfonate | molecular mass](../image_source/1f37874299ccfb12f1b0c666081ed773.png)
lutetium(III) trifluoromethanesulfonate | molecular mass
Result
![Find the molecular mass, m, for lutetium(III) trifluoromethanesulfonate: 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: Lu(CF_3SO_3)_3 Use the chemical formula, Lu(CF_3SO_3)_3, to count the number of atoms, N_i, for each element: | N_i C (carbon) | 3 F (fluorine) | 9 Lu (lutetium) | 1 O (oxygen) | 9 S (sulfur) | 3 Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | N_i | m_i/u C (carbon) | 3 | 12.011 F (fluorine) | 9 | 18.998403163 Lu (lutetium) | 1 | 174.9668 O (oxygen) | 9 | 15.999 S (sulfur) | 3 | 32.06 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: Answer: | | | N_i | m_i/u | mass/u C (carbon) | 3 | 12.011 | 3 × 12.011 = 36.033 F (fluorine) | 9 | 18.998403163 | 9 × 18.998403163 = 170.985628467 Lu (lutetium) | 1 | 174.9668 | 1 × 174.9668 = 174.9668 O (oxygen) | 9 | 15.999 | 9 × 15.999 = 143.991 S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 m = 36.033 u + 170.985628467 u + 174.9668 u + 143.991 u + 96.18 u = 622.16 u](../image_source/99d792f69153fdea1e896ff458254eb3.png)
Find the molecular mass, m, for lutetium(III) trifluoromethanesulfonate: 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: Lu(CF_3SO_3)_3 Use the chemical formula, Lu(CF_3SO_3)_3, to count the number of atoms, N_i, for each element: | N_i C (carbon) | 3 F (fluorine) | 9 Lu (lutetium) | 1 O (oxygen) | 9 S (sulfur) | 3 Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | N_i | m_i/u C (carbon) | 3 | 12.011 F (fluorine) | 9 | 18.998403163 Lu (lutetium) | 1 | 174.9668 O (oxygen) | 9 | 15.999 S (sulfur) | 3 | 32.06 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: Answer: | | | N_i | m_i/u | mass/u C (carbon) | 3 | 12.011 | 3 × 12.011 = 36.033 F (fluorine) | 9 | 18.998403163 | 9 × 18.998403163 = 170.985628467 Lu (lutetium) | 1 | 174.9668 | 1 × 174.9668 = 174.9668 O (oxygen) | 9 | 15.999 | 9 × 15.999 = 143.991 S (sulfur) | 3 | 32.06 | 3 × 32.06 = 96.18 m = 36.033 u + 170.985628467 u + 174.9668 u + 143.991 u + 96.18 u = 622.16 u
Unit conversions
![622.2 Da (daltons)](../image_source/4d8c9542e70bf85f8b8d522144db7141.png)
622.2 Da (daltons)
![0.6222 kDa (kilodaltons)](../image_source/0d4a5af9efe6b5ec1e31cd8ee55afa35.png)
0.6222 kDa (kilodaltons)
![1.0331×10^-21 grams](../image_source/15fca0b30da829b5d12c50d956a7f8a6.png)
1.0331×10^-21 grams
![1.0331×10^-24 kg (kilograms)](../image_source/fa2545846135e71b5dff5fc5fdd10f0e.png)
1.0331×10^-24 kg (kilograms)
![622.2 chemical atomic mass units (unit officially deprecated)](../image_source/8c3218e6db695608ae010ae7226e2e6f.png)
622.2 chemical atomic mass units (unit officially deprecated)
![622.4 physical atomic mass units (unit officially deprecated)](../image_source/292e17017fb089a139c773f7ec85cbc2.png)
622.4 physical atomic mass units (unit officially deprecated)
Comparisons as mass of molecule
![≈ 0.86 × molecular mass of fullerene ( ≈ 721 u )](../image_source/69e05646b2e14f604c8d7e60b2fd3598.png)
≈ 0.86 × molecular mass of fullerene ( ≈ 721 u )
![≈ 3.2 × molecular mass of caffeine ( ≈ 194 u )](../image_source/c5accc42ab2f74a01d534234383d0d44.png)
≈ 3.2 × molecular mass of caffeine ( ≈ 194 u )
![≈ 11 × molecular mass of sodium chloride ( ≈ 58 u )](../image_source/9ba74734512c6428b3dfb7ff15c99f81.png)
≈ 11 × molecular mass of sodium chloride ( ≈ 58 u )
Corresponding quantities
![Relative atomic mass A_r from A_r = m_aN_A/M_u: | 622](../image_source/eed5aed351335ee57ec18cb4192ea663.png)
Relative atomic mass A_r from A_r = m_aN_A/M_u: | 622
![Molar mass M from M = m_aN_A: | 622 g/mol (grams per mole)](../image_source/09d91b3817bc006a6a07ca2c845e4118.png)
Molar mass M from M = m_aN_A: | 622 g/mol (grams per mole)
![Relative molecular mass M_r from M_r = m_mN_A/M_u: | 622](../image_source/a10d581913b3371d84ef9b884c4c6d2a.png)
Relative molecular mass M_r from M_r = m_mN_A/M_u: | 622
![Molar mass M from M = m_mN_A: | 622 g/mol (grams per mole)](../image_source/37bd2b6c06c841f98ddf7bc1da3ce905.png)
Molar mass M from M = m_mN_A: | 622 g/mol (grams per mole)