Input interpretation
![chromium(III) perchlorate | molar mass](../image_source/9182c1fe81027fef165e9d4c2ae4ff83.png)
chromium(III) perchlorate | molar mass
Result
![Find the molar mass, M, for chromium(III) perchlorate: 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: Cr(ClO_4)_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 3 Cr (chromium) | 1 O (oxygen) | 12 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 Cr (chromium) | 1 | 51.9961 O (oxygen) | 12 | 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 Cr (chromium) | 1 | 51.9961 | 1 × 51.9961 = 51.9961 O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 M = 106.35 g/mol + 51.9961 g/mol + 191.988 g/mol = 350.33 g/mol](../image_source/1ee26d769d8ffe48d7c3b021edde1fc2.png)
Find the molar mass, M, for chromium(III) perchlorate: 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: Cr(ClO_4)_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Cl (chlorine) | 3 Cr (chromium) | 1 O (oxygen) | 12 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 Cr (chromium) | 1 | 51.9961 O (oxygen) | 12 | 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 Cr (chromium) | 1 | 51.9961 | 1 × 51.9961 = 51.9961 O (oxygen) | 12 | 15.999 | 12 × 15.999 = 191.988 M = 106.35 g/mol + 51.9961 g/mol + 191.988 g/mol = 350.33 g/mol
Unit conversion
![0.3503 kg/mol (kilograms per mole)](../image_source/ba737c23424a590c612c6d6612cb3a98.png)
0.3503 kg/mol (kilograms per mole)
Comparisons
![≈ 0.49 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/e0e9f7c18a26e2ba344945550fd1ece9.png)
≈ 0.49 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 1.8 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/7ce0bc81800b425137acb377abfdf4cb.png)
≈ 1.8 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 6 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/448979ff910459c4f3bafe5ad1306ddf.png)
≈ 6 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 5.8×10^-22 grams | 5.8×10^-25 kg (kilograms) | 350 u (unified atomic mass units) | 350 Da (daltons)](../image_source/0c8ed168d00ce1c5edfbbb72e2973746.png)
Mass of a molecule m from m = M/N_A: | 5.8×10^-22 grams | 5.8×10^-25 kg (kilograms) | 350 u (unified atomic mass units) | 350 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 350](../image_source/3812b9f364329ed97a9f259395184d64.png)
Relative molecular mass M_r from M_r = M_u/M: | 350