2.7
The periodic table gives the average atomic mass of each atom. However, macroscopic samples contain extremely large numbers of atoms. Therefore, it is essential to use a counting unit called Avogadro's number.
Avogadro’s number, expressed as the symbol NA, is usually rounded to 6.022 × 1023. Its value is equal to the number of atoms in exactly 12 grams of pure carbon-12 isotope.
The term mole, abbreviated mol, is used to describe Avogadro's number, just as the familiar term, dozen, is used to describe an amount of 12.
Nonetheless, a dozen of different items can weigh differently despite having the same number of items. Similarly, moles of different elements have different masses but always contain the same number of atoms.
The mass in grams of one mole of an element is called the molar mass, expressed in grams per mole. Its value is numerically equivalent to the element’s atomic mass. Hence, the definition of the mole lets us count particles by weighing them. The molar mass and Avogadro's number can be used as conversion factors.
This can be used to calculate the number of atoms in a 5 gram bar of gold. The average molar mass of gold is 196.96 g/mol. So, to convert the mass into moles, divide the mass of the bar by the average molar mass. Then, multiply the number of moles by Avogadro's number to get the number of total atoms in the sample. So, this bar of gold contains 1.529 × 1022 atoms.
The identity of a substance is defined not only by the types of atoms or ions it contains but by the quantity of each type of atom or ion. For example…
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