Input interpretation
![benzene | molar mass](../image_source/bb7e33b0b6273e0d942f0ae241dbfefa.png)
benzene | molar mass
Result
![Find the molar mass, M, for benzene: 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: C_6H_6 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 6 H (hydrogen) | 6 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) | 6 | 1.008 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) | 6 | 1.008 | 6 × 1.008 = 6.048 M = 72.066 g/mol + 6.048 g/mol = 78.114 g/mol](../image_source/c6ac58963c806f294ebabf4d1f89d60d.png)
Find the molar mass, M, for benzene: 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: C_6H_6 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 6 H (hydrogen) | 6 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) | 6 | 1.008 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) | 6 | 1.008 | 6 × 1.008 = 6.048 M = 72.066 g/mol + 6.048 g/mol = 78.114 g/mol
Unit conversion
![0.07811 kg/mol (kilograms per mole)](../image_source/3ddc6b61a2fc646736cf67def505a602.png)
0.07811 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/02b6430f3153f3354453b29f26cf9715.png)
≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.4 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/b35fe9b4bf98bc6cd6de19ae94c0ed7c.png)
≈ 0.4 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.3 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/e99bc24846d6cac4b9792630244b3397.png)
≈ 1.3 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.3×10^-22 grams | 1.3×10^-25 kg (kilograms) | 78 u (unified atomic mass units) | 78 Da (daltons)](../image_source/5814618cc3b11cd61c16dfb00289d87b.png)
Mass of a molecule m from m = M/N_A: | 1.3×10^-22 grams | 1.3×10^-25 kg (kilograms) | 78 u (unified atomic mass units) | 78 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 78](../image_source/d2d3254f325c633be6e9c451aa00aab8.png)
Relative molecular mass M_r from M_r = M_u/M: | 78