Input interpretation
![calcium chloride hydrate | molar mass](../image_source/2e04af4c19694522ec58dfeb328c194b.png)
calcium chloride hydrate | molar mass
Result
![Find the molar mass, M, for calcium chloride hydrate: 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: CaCl_2·xH_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 Cl (chlorine) | 2 H (hydrogen) | 2 O (oxygen) | 1 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) Ca (calcium) | 1 | 40.078 Cl (chlorine) | 2 | 35.45 H (hydrogen) | 2 | 1.008 O (oxygen) | 1 | 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) Ca (calcium) | 1 | 40.078 | 1 × 40.078 = 40.078 Cl (chlorine) | 2 | 35.45 | 2 × 35.45 = 70.90 H (hydrogen) | 2 | 1.008 | 2 × 1.008 = 2.016 O (oxygen) | 1 | 15.999 | 1 × 15.999 = 15.999 M = 40.078 g/mol + 70.90 g/mol + 2.016 g/mol + 15.999 g/mol = 128.99 g/mol](../image_source/a380224ec966d6159a146186732d8acb.png)
Find the molar mass, M, for calcium chloride hydrate: 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: CaCl_2·xH_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 Cl (chlorine) | 2 H (hydrogen) | 2 O (oxygen) | 1 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) Ca (calcium) | 1 | 40.078 Cl (chlorine) | 2 | 35.45 H (hydrogen) | 2 | 1.008 O (oxygen) | 1 | 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) Ca (calcium) | 1 | 40.078 | 1 × 40.078 = 40.078 Cl (chlorine) | 2 | 35.45 | 2 × 35.45 = 70.90 H (hydrogen) | 2 | 1.008 | 2 × 1.008 = 2.016 O (oxygen) | 1 | 15.999 | 1 × 15.999 = 15.999 M = 40.078 g/mol + 70.90 g/mol + 2.016 g/mol + 15.999 g/mol = 128.99 g/mol
Unit conversion
![0.129 kg/mol (kilograms per mole)](../image_source/c0ea059983d2f9aee9f087003510026e.png)
0.129 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.18 ≈ 1/6 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/9d8f0dd42fde689af88f5b106328ffa4.png)
≈ ( 0.18 ≈ 1/6 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.66 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/31842ccdda823b57386b464bad682d89.png)
≈ 0.66 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.2 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/9d8cff42487258e86df07b72b222486a.png)
≈ 2.2 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2.1×10^-22 grams | 2.1×10^-25 kg (kilograms) | 129 u (unified atomic mass units) | 129 Da (daltons)](../image_source/1c96c104901fa64eea64b81e2b52c66f.png)
Mass of a molecule m from m = M/N_A: | 2.1×10^-22 grams | 2.1×10^-25 kg (kilograms) | 129 u (unified atomic mass units) | 129 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 129](../image_source/af291ed49d52d13ec92ee9e8a9312460.png)
Relative molecular mass M_r from M_r = M_u/M: | 129