Input interpretation
![chromium carbide | molar mass](../image_source/f4041d33b2acc638430ca8c9a500a65e.png)
chromium carbide | molar mass
Result
![Find the molar mass, M, for chromium carbide: 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: Cr_3C_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 Cr (chromium) | 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) | 2 | 12.011 Cr (chromium) | 3 | 51.9961 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 Cr (chromium) | 3 | 51.9961 | 3 × 51.9961 = 155.9883 M = 24.022 g/mol + 155.9883 g/mol = 180.010 g/mol](../image_source/7bf45828b02d6a06aab45b96c82cbe0d.png)
Find the molar mass, M, for chromium carbide: 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: Cr_3C_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i C (carbon) | 2 Cr (chromium) | 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) | 2 | 12.011 Cr (chromium) | 3 | 51.9961 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 Cr (chromium) | 3 | 51.9961 | 3 × 51.9961 = 155.9883 M = 24.022 g/mol + 155.9883 g/mol = 180.010 g/mol
Unit conversion
![0.18001 kg/mol (kilograms per mole)](../image_source/6995a0643086857144d40c7252871cfa.png)
0.18001 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.25 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/caf33c4b27e519a65cc00f49bc6a8cca.png)
≈ ( 0.25 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.93 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/117d82681ef57e1a857bcc9e6d66465f.png)
≈ 0.93 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 3.1 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/8262e8ef53f2587e079833b1a1c273e9.png)
≈ 3.1 × 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) | 180 u (unified atomic mass units) | 180 Da (daltons)](../image_source/454e00ee9865322301e8ca411a4cbade.png)
Mass of a molecule m from m = M/N_A: | 3×10^-22 grams | 3×10^-25 kg (kilograms) | 180 u (unified atomic mass units) | 180 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 180](../image_source/c025cd8f2cd56356b04c7d561b4dba05.png)
Relative molecular mass M_r from M_r = M_u/M: | 180