Input interpretation
![calcium hydride | molar mass](../image_source/e5a859cf584309c73b093a3b439df899.png)
calcium hydride | molar mass
Result
![Find the molar mass, M, for calcium 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: CaH_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 H (hydrogen) | 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) Ca (calcium) | 1 | 40.078 H (hydrogen) | 2 | 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) Ca (calcium) | 1 | 40.078 | 1 × 40.078 = 40.078 H (hydrogen) | 2 | 1.008 | 2 × 1.008 = 2.016 M = 40.078 g/mol + 2.016 g/mol = 42.094 g/mol](../image_source/eb31cfdd50db893128b9834fc4560fe8.png)
Find the molar mass, M, for calcium 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: CaH_2 Use the chemical formula to count the number of atoms, N_i, for each element: | N_i Ca (calcium) | 1 H (hydrogen) | 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) Ca (calcium) | 1 | 40.078 H (hydrogen) | 2 | 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) Ca (calcium) | 1 | 40.078 | 1 × 40.078 = 40.078 H (hydrogen) | 2 | 1.008 | 2 × 1.008 = 2.016 M = 40.078 g/mol + 2.016 g/mol = 42.094 g/mol
Unit conversion
![0.042094 kg/mol (kilograms per mole)](../image_source/1efee6d33bea4da35c33f9a3cd443a1f.png)
0.042094 kg/mol (kilograms per mole)
Comparisons
![≈ ( 0.058 ≈ 1/17 ) × molar mass of fullerene ( ≈ 721 g/mol )](../image_source/0b71b031fd5b5d4114a1c923da23d9eb.png)
≈ ( 0.058 ≈ 1/17 ) × molar mass of fullerene ( ≈ 721 g/mol )
![≈ ( 0.22 ≈ 1/5 ) × molar mass of caffeine ( ≈ 194 g/mol )](../image_source/1da5f4c76a35abf241a57e61a6f2cf9c.png)
≈ ( 0.22 ≈ 1/5 ) × molar mass of caffeine ( ≈ 194 g/mol )
![≈ 0.72 × molar mass of sodium chloride ( ≈ 58 g/mol )](../image_source/bfff36e1a865eb5ff39ee07aa0860326.png)
≈ 0.72 × molar mass of sodium chloride ( ≈ 58 g/mol )
Corresponding quantities
![Mass of a molecule m from m = M/N_A: | 7×10^-23 grams | 7×10^-26 kg (kilograms) | 42 u (unified atomic mass units) | 42 Da (daltons)](../image_source/7a816a57c5da4fa9677b908111f8f69d.png)
Mass of a molecule m from m = M/N_A: | 7×10^-23 grams | 7×10^-26 kg (kilograms) | 42 u (unified atomic mass units) | 42 Da (daltons)
![Relative molecular mass M_r from M_r = M_u/M: | 42](../image_source/754a0c75a73271ae38b7ab9d4c419b22.png)
Relative molecular mass M_r from M_r = M_u/M: | 42