Input interpretation
![gold(III) bromide | molar mass](../image_source/c368641f9ebfabc2919d8ef9b4eaf2f9.png)
gold(III) bromide | molar mass
Result
![Find the molar mass, M, for gold(III) bromide: 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: AuBr_3·xH_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Au (gold) | 1 Br (bromine) | 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) Au (gold) | 1 | 196.966569 Br (bromine) | 3 | 79.904 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) Au (gold) | 1 | 196.966569 | 1 × 196.966569 = 196.966569 Br (bromine) | 3 | 79.904 | 3 × 79.904 = 239.712 M = 196.966569 g/mol + 239.712 g/mol = 436.679 g/mol](../image_source/bde5807f8ef8444a91a9ffcdb90aa215.png)
Find the molar mass, M, for gold(III) bromide: 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: AuBr_3·xH_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Au (gold) | 1 Br (bromine) | 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) Au (gold) | 1 | 196.966569 Br (bromine) | 3 | 79.904 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) Au (gold) | 1 | 196.966569 | 1 × 196.966569 = 196.966569 Br (bromine) | 3 | 79.904 | 3 × 79.904 = 239.712 M = 196.966569 g/mol + 239.712 g/mol = 436.679 g/mol
Unit conversion
![0.43668 kg/mol (kilograms per mole)](../image_source/31b2d785f93d9e1e364f6233970d789d.png)
0.43668 kg/mol (kilograms per mole)
Comparisons
![≈ 0.61 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/f8948dfba259abe42b8f4ef9857408e1.png)
≈ 0.61 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 2.2 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/d40dd08c87615c1c526296752a7e2681.png)
≈ 2.2 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 7.5 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/f6e0db6ffd0659a3acdb99e9346c8c4a.png)
≈ 7.5 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 7.3×10^-22 grams | 7.3×10^-25 kg (kilograms) | 437 u (unified atomic mass units) | 437 Da (daltons)](../image_source/9e5f0993e44c2a34626a95fc3b6630d0.png)
Mass of a molecule m from m = M/N_A: | 7.3×10^-22 grams | 7.3×10^-25 kg (kilograms) | 437 u (unified atomic mass units) | 437 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 437](../image_source/22fa879ae9ab58731e690919c9df479e.png)
Relative molecular mass M_r from M_r = M_u/M: | 437