Input interpretation
![magnesium chloride hexahydrate | molar mass](../image_source/37e8922004a75135d194ce1d1efd6c2d.png)
magnesium chloride hexahydrate | molar mass
Result
![Find the molar mass, M, for magnesium chloride 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: MgCl_2·6H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 2 H (hydrogen) | 12 Mg (magnesium) | 1 O (oxygen) | 6 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) | 2 | 35.45 H (hydrogen) | 12 | 1.008 Mg (magnesium) | 1 | 24.305 O (oxygen) | 6 | 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) | 2 | 35.45 | 2 × 35.45 = 70.90 H (hydrogen) | 12 | 1.008 | 12 × 1.008 = 12.096 Mg (magnesium) | 1 | 24.305 | 1 × 24.305 = 24.305 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 M = 70.90 g/mol + 12.096 g/mol + 24.305 g/mol + 95.994 g/mol = 203.30 g/mol](../image_source/8453ac1d14738b4fade23e91faebf8dd.png)
Find the molar mass, M, for magnesium chloride 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: MgCl_2·6H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 2 H (hydrogen) | 12 Mg (magnesium) | 1 O (oxygen) | 6 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) | 2 | 35.45 H (hydrogen) | 12 | 1.008 Mg (magnesium) | 1 | 24.305 O (oxygen) | 6 | 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) | 2 | 35.45 | 2 × 35.45 = 70.90 H (hydrogen) | 12 | 1.008 | 12 × 1.008 = 12.096 Mg (magnesium) | 1 | 24.305 | 1 × 24.305 = 24.305 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 M = 70.90 g/mol + 12.096 g/mol + 24.305 g/mol + 95.994 g/mol = 203.30 g/mol
Unit conversion
![0.2033 kg/mol (kilograms per mole)](../image_source/76aa9a5f89e6a324f9ee6dc5734b1120.png)
0.2033 kg/mol (kilograms per mole)
Comparisons
![≈ 0.28 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/936a204e8123ed96e8debd4430501e0e.png)
≈ 0.28 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ molar mass of caffeine ( ≈ 194 g/mol )](../image_source/21448966d9aaabf3ea76e98b9493bfc3.png)
≈ molar mass of caffeine ( ≈ 194 g/mol )
![≈ 3.5 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/54288f157f34f0fba86855d9acc8f536.png)
≈ 3.5 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 3.4×10^-22 grams | 3.4×10^-25 kg (kilograms) | 203 u (unified atomic mass units) | 203 Da (daltons)](../image_source/07ff2ebfa5f21af155012693b1b7641f.png)
Mass of a molecule m from m = M/N_A: | 3.4×10^-22 grams | 3.4×10^-25 kg (kilograms) | 203 u (unified atomic mass units) | 203 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 203](../image_source/09e27dea42c6d9dfa06f54cf60b299ff.png)
Relative molecular mass M_r from M_r = M_u/M: | 203