Input interpretation
![pyrophosphoric acid | molar mass](../image_source/ab7eee6f1364d939b2a045570319d2aa.png)
pyrophosphoric acid | molar mass
Result
![Find the molar mass, M, for pyrophosphoric 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: (HO)_2P(O)OP(O)(OH)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i H (hydrogen) | 4 O (oxygen) | 7 P (phosphorus) | 2 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) H (hydrogen) | 4 | 1.008 O (oxygen) | 7 | 15.999 P (phosphorus) | 2 | 30.973761998 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) H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 O (oxygen) | 7 | 15.999 | 7 × 15.999 = 111.993 P (phosphorus) | 2 | 30.973761998 | 2 × 30.973761998 = 61.947523996 M = 4.032 g/mol + 111.993 g/mol + 61.947523996 g/mol = 177.973 g/mol](../image_source/5ed5accc3e24a14117ef60758992d051.png)
Find the molar mass, M, for pyrophosphoric 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: (HO)_2P(O)OP(O)(OH)_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i H (hydrogen) | 4 O (oxygen) | 7 P (phosphorus) | 2 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) H (hydrogen) | 4 | 1.008 O (oxygen) | 7 | 15.999 P (phosphorus) | 2 | 30.973761998 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) H (hydrogen) | 4 | 1.008 | 4 × 1.008 = 4.032 O (oxygen) | 7 | 15.999 | 7 × 15.999 = 111.993 P (phosphorus) | 2 | 30.973761998 | 2 × 30.973761998 = 61.947523996 M = 4.032 g/mol + 111.993 g/mol + 61.947523996 g/mol = 177.973 g/mol
Unit conversion
![0.17797 kg/mol (kilograms per mole)](../image_source/34071f07861cc1087be768764b279aa7.png)
0.17797 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.25 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/6eefbc3f15a6e02629c7c7639f0b1da8.png)
≈ ( 0.25 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.92 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/d8b94c3a21034434502a35b4d8ccd0d7.png)
≈ 0.92 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 3 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/8579696b900e00610eb13e103a9760a9.png)
≈ 3 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 3×10^-22 grams | 3×10^-25 kg (kilograms) | 178 u (unified atomic mass units) | 178 Da (daltons)](../image_source/efeeabbff26e7146dc7a4a8f84651698.png)
Mass of a molecule m from m = M/N_A: | 3×10^-22 grams | 3×10^-25 kg (kilograms) | 178 u (unified atomic mass units) | 178 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 178](../image_source/389b8445416ea5fbe4f8bb3ccf60171c.png)
Relative molecular mass M_r from M_r = M_u/M: | 178