Now that we have presented the mole and practiced utilizing it as a conversion element, we ask the evident question: why is the mole that particular variety of things? Why is it 6.022 × 1023 and not 1 × 1023 or also 1 × 1020?

The number in a mole, Avogadro’s number, is regarded the loved one sizes of the atomic mass unit and gram mass units. Whereas one hydrogen atom has a mass of around 1 u, 1 mol of H atoms has a mass of approximately 1 gram. And whereas one sodium atom has actually an approximate mass of 23 u, 1 mol of Na atoms has actually an approximate mass of 23 grams.

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One mole of a substance has the very same mass in grams that one atom or molecule has in atomic mass units. The numbers in the regular table that we identified as the atomic masses of the atoms not just tell us the mass of one atom in u yet also tell us the mass of 1 mol of atoms in grams.

### Note

One mole of a substance has the very same mass in grams that one atom or molecule has in atomic mass systems.

### Example 3

What is the mass of each quantity?

1 mol of Al atoms 2 mol of U atoms

Solution

One mole of Al atoms has actually a mass in grams that is numerically tantamount to the atomic mass of aluminum. The periodic table reflects that the atomic mass (rounded to 2 decimal points) of Al is 26.98, so 1 mol of Al atoms has actually a mass of 26.98 g. According to the periodic table, 1 mol of U has a mass of 238.03 g, so the mass of 2 mol is twice that, or 476.06 g.

### Skill-Building Exercise

What is the mass of each quantity?

1 mol of Au atoms

5 mol of Br atoms

The mole concept can be extfinished to masses of formula devices and also molecules also. The mass of 1 mol of molecules (or formula units) in grams is numerically identical to the mass of one molecule (or formula unit) in atomic mass units. For example, a solitary molecule of O2 has a mass of 32.00 u, and also 1 mol of O2 molecules has actually a mass of 32.00 g. As with atomic mass unit–based masses, to acquire the mass of 1 mol of a substance, we sindicate amount the masses of the individual atoms in the formula of that substance. The mass of 1 mol of a substance is referred to as its molar massThe mass of 1 mol of atoms or molecules., whether the substance is an aspect, an ionic compound, or a covalent compound.

### Example 4

What is the mass of 1 mol of each substance?

NaCl bilirubin (C33H36N4O6), the primary pigment present in bile (a liver secretion)

Solution

Summing the molar masses of the atoms in the NaCl formula unit gives

The mass of 1 mol of NaCl is 58.45 g.

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Multiplying the molar mass of each atom by the variety of atoms of that kind in bilirubin’s formula and also including the outcomes, we get

 33 C molar mass: 33 × 12.01 g 396.33 g 36 H molar mass: 36 × 1.01 = 36.36 g 4 N molar mass: 4 × 14.00 = 56.00 g 6 O molar mass: 6 × 16.00 = 96.00 g Total: 584.69 g

Be mindful when counting atoms. In formulas with polyatomic ions in parentheses, the submanuscript external the parentheses is used to eextremely atom inside the parentheses. For instance, the molar mass of Ba(OH)2 needs the amount of 1 mass of Ba, 2 masses of O, and also 2 masses of H:

 1 Ba molar mass: 1 × 137.33 g = 137.33 g 2 O molar mass: 2 × 16.00 g = 32.00 g 2 H molar mass: 2 × 1.01 g = 2.02 g Total: 171.35 g

Due to the fact that molar mass is identified as the mass for 1 mol of a substance, we have the right to describe molar mass as grams per mole (g/mol). The division sign (/) indicates “per,” and “1” is implied in the denominator. Therefore, the molar mass of bilirubin have the right to be expressed as 584.05 g/mol, which is review as “five hundred eighty 4 suggest zero 5 grams per mole.”

Molar masses of the facets are the exact same numeric value as the masses of a solitary atom in atomic mass units yet in systems of grams rather.