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You are watching: If the atomic mass of an element is x, what is the mass in grams of 6.02×1023 atoms of the element?

As we have actually oboffered, atoms are extremely small--too little to be weighed or counted individually. However, we regularly should understand exactly how many atoms (or molecules, or electrons, and so on) a sample contains. To fix this dilemma, we usage a counting unit dubbed Avogadro"s number, called after the Italian scientist Amedeo Avogadro (1776-1856):

Avogadro"s number = 6.02 X 1023

Just as an amount of 12 is explained by the term dozen, Avogadro"s number is explained by the term mole. A dozen eggs is 12 eggs; a mole of atoms is 6.02 X 1023 atoms. Avogadro"s number have the right to be supplied to count anypoint. You could have actually a mole of apples or a mole of Ping-Pong balls. You deserve to acquire some idea of the magnitude of Avogadro"s number by because a mole of Ping-Pong balls would certainly cover the surface of the Earth through a layer around 60 miles thick. Avogadro"s number is shown here to 3 substantial numbers, which is the degree of accuracy commonly forced in calculations. Actually, the number of items in a mole has actually been identified to six or even more considerable figures, the specific number depending on the strategy whereby the number was identified. One mole of any type of substance has 6.02 X 1023 units of that substance. Equally essential is the fact that one mole of a substance has actually a mass in grams numerically equal to the formula weight of that substance. Thus, one mole of an aspect has a mass in grams equal to the atomic weight of that facet and also includes 6.02 X 1023 atoms of the element. For those elements that execute not happen as single atoms - that is, the diatomic gases, sulhair, and also phosphorus - it is necessary to be certain that you specify what you are talking about. One mole of atoms of oxygen has a mass of 16 g, as 16 is the atomic weight of oxygen, and also includes 6.02 X 1023 atoms of oxygen. One mole of oxygen gas, which has actually the formula O2, has a mass of 32 g and contains 6.02 X 1023 molecules of oxygen however 12.04 X 1023 (2 X 6.02 X 1023) atoms, because each molecule of oxygen consists of two oxygen atoms. These meanings permit a brand-new meaning of atomic weight: The atomic weight of an element is the mass in grams of one mole of normally developing atoms of that facet.

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Using these relationships, we deserve to calculate the number of atoms in a offered mass of an facet or the mass of a offered number of atoms.
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