Input interpretation
![cadmium chloride monohydrate | molar mass](../image_source/e6ec95808ec1de11bc482e391f2aee97.png)
cadmium chloride monohydrate | molar mass
Result
![Find the molar mass, M, for cadmium chloride monohydrate: 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: CdCl_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cd (cadmium) | 1 Cl (chlorine) | 2 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) Cd (cadmium) | 1 | 112.414 Cl (chlorine) | 2 | 35.45 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) Cd (cadmium) | 1 | 112.414 | 1 × 112.414 = 112.414 Cl (chlorine) | 2 | 35.45 | 2 × 35.45 = 70.90 M = 112.414 g/mol + 70.90 g/mol = 183.31 g/mol](../image_source/641241dad7b5ed4b4a9d164c0489c54c.png)
Find the molar mass, M, for cadmium chloride monohydrate: 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: CdCl_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cd (cadmium) | 1 Cl (chlorine) | 2 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) Cd (cadmium) | 1 | 112.414 Cl (chlorine) | 2 | 35.45 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) Cd (cadmium) | 1 | 112.414 | 1 × 112.414 = 112.414 Cl (chlorine) | 2 | 35.45 | 2 × 35.45 = 70.90 M = 112.414 g/mol + 70.90 g/mol = 183.31 g/mol
Unit conversion
![0.1833 kg/mol (kilograms per mole)](../image_source/c6029cb9cc77e72aff3e2e3dfac55054.png)
0.1833 kg/mol (kilograms per mole)
Comparisons
![≈ 0.25 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/c23b27c1ab2242efab2adc14ee2836ea.png)
≈ 0.25 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.94 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/c5923dca131639fafef451931acb1457.png)
≈ 0.94 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 3.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/63d4135856833831dddba2434a77e001.png)
≈ 3.1 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 3×10^-22 grams | 3×10^-25 kg (kilograms) | 183 u (unified atomic mass units) | 183 Da (daltons)](../image_source/aaea87f3dcda2905453b696e85122d92.png)
Mass of a molecule m from m = M/N_A: | 3×10^-22 grams | 3×10^-25 kg (kilograms) | 183 u (unified atomic mass units) | 183 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 183](../image_source/a5de57e94b3a66167509d8606325d26e.png)
Relative molecular mass M_r from M_r = M_u/M: | 183