Input interpretation
![gallium(III) perchlorate hexahydrate | molar mass](../image_source/3f5958a962fcd25874ee31e84e54b92e.png)
gallium(III) perchlorate hexahydrate | molar mass
Result
![Find the molar mass, M, for gallium(III) perchlorate hexahydrate: 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: Ga(ClO_4)_3·6H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 3 Ga (gallium) | 1 H (hydrogen) | 12 O (oxygen) | 18 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) Cl (chlorine) | 3 | 35.45 Ga (gallium) | 1 | 69.723 H (hydrogen) | 12 | 1.008 O (oxygen) | 18 | 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) Cl (chlorine) | 3 | 35.45 | 3 × 35.45 = 106.35 Ga (gallium) | 1 | 69.723 | 1 × 69.723 = 69.723 H (hydrogen) | 12 | 1.008 | 12 × 1.008 = 12.096 O (oxygen) | 18 | 15.999 | 18 × 15.999 = 287.982 M = 106.35 g/mol + 69.723 g/mol + 12.096 g/mol + 287.982 g/mol = 476.15 g/mol](../image_source/13af213fa317f57239c062ff84516bac.png)
Find the molar mass, M, for gallium(III) perchlorate hexahydrate: 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: Ga(ClO_4)_3·6H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 3 Ga (gallium) | 1 H (hydrogen) | 12 O (oxygen) | 18 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) Cl (chlorine) | 3 | 35.45 Ga (gallium) | 1 | 69.723 H (hydrogen) | 12 | 1.008 O (oxygen) | 18 | 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) Cl (chlorine) | 3 | 35.45 | 3 × 35.45 = 106.35 Ga (gallium) | 1 | 69.723 | 1 × 69.723 = 69.723 H (hydrogen) | 12 | 1.008 | 12 × 1.008 = 12.096 O (oxygen) | 18 | 15.999 | 18 × 15.999 = 287.982 M = 106.35 g/mol + 69.723 g/mol + 12.096 g/mol + 287.982 g/mol = 476.15 g/mol
Unit conversion
![0.4762 kg/mol (kilograms per mole)](../image_source/39468ab0834117fd3706c2230cbfecd1.png)
0.4762 kg/mol (kilograms per mole)
Comparisons
![≈ 0.66 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/76a568374c1f89e8ee7407f3348332c6.png)
≈ 0.66 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 2.5 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/353cd074d3ab95913378a85678401da6.png)
≈ 2.5 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 8.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/ecbe726ede4e2176cf924279e5d29ac8.png)
≈ 8.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 7.9×10^-22 grams | 7.9×10^-25 kg (kilograms) | 476 u (unified atomic mass units) | 476 Da (daltons)](../image_source/d7934455b84b5a9478c6d53465d9311c.png)
Mass of a molecule m from m = M/N_A: | 7.9×10^-22 grams | 7.9×10^-25 kg (kilograms) | 476 u (unified atomic mass units) | 476 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 476](../image_source/638bb0e3c34361b8370b4e6cfe0932a3.png)
Relative molecular mass M_r from M_r = M_u/M: | 476