Input interpretation
![dimethyl sulfoxide | molar mass](../image_source/b5643053a414097d9425d59b74c0e585.png)
dimethyl sulfoxide | molar mass
Result
![Find the molar mass, M, for dimethyl sulfoxide: 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: (CH_3)_2SO Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 H (hydrogen) | 6 O (oxygen) | 1 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) C (carbon) | 2 | 12.011 H (hydrogen) | 6 | 1.008 O (oxygen) | 1 | 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) C (carbon) | 2 | 12.011 | 2 × 12.011 = 24.022 H (hydrogen) | 6 | 1.008 | 6 × 1.008 = 6.048 O (oxygen) | 1 | 15.999 | 1 × 15.999 = 15.999 S (sulfur) | 1 | 32.06 | 1 × 32.06 = 32.06 M = 24.022 g/mol + 6.048 g/mol + 15.999 g/mol + 32.06 g/mol = 78.13 g/mol](../image_source/5e58754639d7c6c703d15bcd7176b0a3.png)
Find the molar mass, M, for dimethyl sulfoxide: 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: (CH_3)_2SO Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 H (hydrogen) | 6 O (oxygen) | 1 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) C (carbon) | 2 | 12.011 H (hydrogen) | 6 | 1.008 O (oxygen) | 1 | 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) C (carbon) | 2 | 12.011 | 2 × 12.011 = 24.022 H (hydrogen) | 6 | 1.008 | 6 × 1.008 = 6.048 O (oxygen) | 1 | 15.999 | 1 × 15.999 = 15.999 S (sulfur) | 1 | 32.06 | 1 × 32.06 = 32.06 M = 24.022 g/mol + 6.048 g/mol + 15.999 g/mol + 32.06 g/mol = 78.13 g/mol
Unit conversion
![0.07813 kg/mol (kilograms per mole)](../image_source/1798abb6fefee2f020683d65c972e9ad.png)
0.07813 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/2eece806ec97b50cab98669ab8e672ad.png)
≈ ( 0.11 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.4 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/f5abe0ef01e25bb403d63902e5956863.png)
≈ 0.4 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.3 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/173fabc1a941f299870cc8f3115af2eb.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/65bcb65a41d154f5f13ec6f2d9b8967f.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/5845fd311f3a30c01611b626038b5f36.png)
Relative molecular mass M_r from M_r = M_u/M: | 78