Input interpretation
![citric acid | molar mass](../image_source/86bee513295c6bb134d2e0deef0e90f1.png)
citric acid | molar mass
Result
![Find the molar mass, M, for citric acid: 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: HOC(COOH)(CH_2COOH)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 6 H (hydrogen) | 8 O (oxygen) | 7 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) C (carbon) | 6 | 12.011 H (hydrogen) | 8 | 1.008 O (oxygen) | 7 | 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) C (carbon) | 6 | 12.011 | 6 × 12.011 = 72.066 H (hydrogen) | 8 | 1.008 | 8 × 1.008 = 8.064 O (oxygen) | 7 | 15.999 | 7 × 15.999 = 111.993 M = 72.066 g/mol + 8.064 g/mol + 111.993 g/mol = 192.123 g/mol](../image_source/f6714d1a773e35e223810dca2a951527.png)
Find the molar mass, M, for citric acid: 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: HOC(COOH)(CH_2COOH)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 6 H (hydrogen) | 8 O (oxygen) | 7 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) C (carbon) | 6 | 12.011 H (hydrogen) | 8 | 1.008 O (oxygen) | 7 | 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) C (carbon) | 6 | 12.011 | 6 × 12.011 = 72.066 H (hydrogen) | 8 | 1.008 | 8 × 1.008 = 8.064 O (oxygen) | 7 | 15.999 | 7 × 15.999 = 111.993 M = 72.066 g/mol + 8.064 g/mol + 111.993 g/mol = 192.123 g/mol
Unit conversion
![0.19212 kg/mol (kilograms per mole)](../image_source/87aba58fd1c1ea2fc0022c72bdfe74e2.png)
0.19212 kg/mol (kilograms per mole)
Comparisons
![≈ 0.27 × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/f2e93f5492d9a974b8619b0e8c9b2106.png)
≈ 0.27 × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.99 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/f2c6da03940d9d115d38b207aac7d8bf.png)
≈ 0.99 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 3.3 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/8c99d0ac577685241411e8d7ec8e3c7d.png)
≈ 3.3 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 3.2×10^-22 grams | 3.2×10^-25 kg (kilograms) | 192 u (unified atomic mass units) | 192 Da (daltons)](../image_source/6f71d5113c166780f24394d39c4d42a9.png)
Mass of a molecule m from m = M/N_A: | 3.2×10^-22 grams | 3.2×10^-25 kg (kilograms) | 192 u (unified atomic mass units) | 192 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 192](../image_source/495d0a9df914bd7168f7c41f9d8f4c28.png)
Relative molecular mass M_r from M_r = M_u/M: | 192