Input interpretation
![calcium sulfate dihydrate | molar mass](../image_source/5713fa8af5bc448bb667c71cd47a3e52.png)
calcium sulfate dihydrate | molar mass
Result
![Find the molar mass, M, for calcium sulfate dihydrate: 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: CaSO_4·2H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 H (hydrogen) | 4 O (oxygen) | 6 S (sulfur) | 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 H (hydrogen) | 4 | 1.008 O (oxygen) | 6 | 15.999 S (sulfur) | 1 | 32.06 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 H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 S (sulfur) | 1 | 32.06 | 1 × 32.06 = 32.06 M = 40.078 g/mol + 4.032 g/mol + 95.994 g/mol + 32.06 g/mol = 172.16 g/mol](../image_source/6ecd73ad3cd494804cc97f14dc8275e3.png)
Find the molar mass, M, for calcium sulfate dihydrate: 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: CaSO_4·2H_2O Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 H (hydrogen) | 4 O (oxygen) | 6 S (sulfur) | 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 H (hydrogen) | 4 | 1.008 O (oxygen) | 6 | 15.999 S (sulfur) | 1 | 32.06 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 H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 O (oxygen) | 6 | 15.999 | 6 × 15.999 = 95.994 S (sulfur) | 1 | 32.06 | 1 × 32.06 = 32.06 M = 40.078 g/mol + 4.032 g/mol + 95.994 g/mol + 32.06 g/mol = 172.16 g/mol
Unit conversion
![0.17216 kg/mol (kilograms per mole)](../image_source/f0e10915b4261c22cbc7d27ef0542517.png)
0.17216 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/5e8d2808b2c3e55a782db24e7723873d.png)
≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.89 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/dcfac7d34ad376af9b315714880b4f0b.png)
≈ 0.89 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/23bb012eb3a40525166f24cdcbfbf47e.png)
≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2.9×10^-22 grams | 2.9×10^-25 kg (kilograms) | 172 u (unified atomic mass units) | 172 Da (daltons)](../image_source/5b03ca391f9a697a131dfa4ebe3f49ed.png)
Mass of a molecule m from m = M/N_A: | 2.9×10^-22 grams | 2.9×10^-25 kg (kilograms) | 172 u (unified atomic mass units) | 172 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 172](../image_source/9284b1826e30594fcbd6ce127fc610fc.png)
Relative molecular mass M_r from M_r = M_u/M: | 172