Input interpretation
![sodium bicarbonate | molar mass](../image_source/73e8bbbb2dc1828d87cf17032aab85b4.png)
sodium bicarbonate | molar mass
Result
![Find the molar mass, M, for sodium bicarbonate: 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: NaHCO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 H (hydrogen) | 1 Na (sodium) | 1 O (oxygen) | 3 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) | 1 | 12.011 H (hydrogen) | 1 | 1.008 Na (sodium) | 1 | 22.98976928 O (oxygen) | 3 | 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) | 1 | 12.011 | 1 × 12.011 = 12.011 H (hydrogen) | 1 | 1.008 | 1 × 1.008 = 1.008 Na (sodium) | 1 | 22.98976928 | 1 × 22.98976928 = 22.98976928 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 12.011 g/mol + 1.008 g/mol + 22.98976928 g/mol + 47.997 g/mol = 84.006 g/mol](../image_source/ceef42607116845719f5713097af3976.png)
Find the molar mass, M, for sodium bicarbonate: 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: NaHCO_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 1 H (hydrogen) | 1 Na (sodium) | 1 O (oxygen) | 3 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) | 1 | 12.011 H (hydrogen) | 1 | 1.008 Na (sodium) | 1 | 22.98976928 O (oxygen) | 3 | 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) | 1 | 12.011 | 1 × 12.011 = 12.011 H (hydrogen) | 1 | 1.008 | 1 × 1.008 = 1.008 Na (sodium) | 1 | 22.98976928 | 1 × 22.98976928 = 22.98976928 O (oxygen) | 3 | 15.999 | 3 × 15.999 = 47.997 M = 12.011 g/mol + 1.008 g/mol + 22.98976928 g/mol + 47.997 g/mol = 84.006 g/mol
Unit conversion
![0.084006 kg/mol (kilograms per mole)](../image_source/163c4979d2cf535739b8588f88f19d5d.png)
0.084006 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.12 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/1f1493fc45600b6b1c5a1c35db6c0aad.png)
≈ ( 0.12 ≈ 1/9 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.43 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/751312859d9ae51537051b7ccc7576b6.png)
≈ 0.43 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 1.4 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/3a02be92335fee041b955e9f2997383f.png)
≈ 1.4 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 1.4×10^-22 grams | 1.4×10^-25 kg (kilograms) | 84 u (unified atomic mass units) | 84 Da (daltons)](../image_source/e0800f2d08cc5a47ebf3ad5a59f1fea3.png)
Mass of a molecule m from m = M/N_A: | 1.4×10^-22 grams | 1.4×10^-25 kg (kilograms) | 84 u (unified atomic mass units) | 84 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 84](../image_source/772c93fde358d67715a401c0950b66d2.png)
Relative molecular mass M_r from M_r = M_u/M: | 84