Input interpretation
![erbium hydride | molar mass](../image_source/b9fb6ed32abb5d9a1ff2be57bda5bca8.png)
erbium hydride | molar mass
Result
![Find the molar mass, M, for erbium hydride: 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: ErH_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Er (erbium) | 1 H (hydrogen) | 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) Er (erbium) | 1 | 167.259 H (hydrogen) | 3 | 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) Er (erbium) | 1 | 167.259 | 1 × 167.259 = 167.259 H (hydrogen) | 3 | 1.008 | 3 × 1.008 = 3.024 M = 167.259 g/mol + 3.024 g/mol = 170.283 g/mol](../image_source/951a0745294f61ddf5fb2adeaf2fa723.png)
Find the molar mass, M, for erbium hydride: 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: ErH_3 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Er (erbium) | 1 H (hydrogen) | 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) Er (erbium) | 1 | 167.259 H (hydrogen) | 3 | 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) Er (erbium) | 1 | 167.259 | 1 × 167.259 = 167.259 H (hydrogen) | 3 | 1.008 | 3 × 1.008 = 3.024 M = 167.259 g/mol + 3.024 g/mol = 170.283 g/mol
Unit conversion
![0.170283 kg/mol (kilograms per mole)](../image_source/95ef3a6bf27946336b2596c226e1b089.png)
0.170283 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/17558dbc79ae4d4605c5e8001d7b6089.png)
≈ ( 0.24 ≈ 1/4 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ 0.88 × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/045527408f7cd43b7e8b3d6ec3338ddc.png)
≈ 0.88 × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/3a5a09d110db7cbafb9dff5c4818f574.png)
≈ 2.9 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 2.8×10^-22 grams | 2.8×10^-25 kg (kilograms) | 170 u (unified atomic mass units) | 170 Da (daltons)](../image_source/4cd3bd98b9f33d5d42169e27f32957d9.png)
Mass of a molecule m from m = M/N_A: | 2.8×10^-22 grams | 2.8×10^-25 kg (kilograms) | 170 u (unified atomic mass units) | 170 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 170](../image_source/2cc7ee97680e2668d840c3a6899fb660.png)
Relative molecular mass M_r from M_r = M_u/M: | 170