how many atoms are in 2.19 moles of lithium

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25-01-2025

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This article will guide you through calculating the number of atoms in 2.19 moles of lithium. We'll break down the process step-by-step, making it easy to understand even if you're new to chemistry.

Understanding Moles and Avogadro's Number

The mole (mol) is a fundamental unit in chemistry. It represents a specific number of particles, whether those are atoms, molecules, ions, or anything else. That number is Avogadro's number, approximately 6.022 x 10²³. One mole of any substance contains Avogadro's number of particles.

Therefore, 1 mole of lithium (Li) contains 6.022 x 10²³ lithium atoms.

Calculating the Number of Lithium Atoms

To find the number of atoms in 2.19 moles of lithium, we'll use a simple proportion:

1 mole Li = 6.022 x 10²³ atoms

2.19 moles Li = x atoms

To solve for 'x', we multiply the number of moles by Avogadro's number:

x = 2.19 moles Li × (6.022 x 10²³ atoms/mole)

Calculating this gives us:

x ≈ 1.32 x 10²⁴ atoms

Therefore, there are approximately 1.32 x 10²⁴ atoms in 2.19 moles of lithium.

Practice Problems

Try these practice problems to solidify your understanding:

1. How many atoms are in 0.5 moles of carbon?
2. How many moles are present in 1.204 x 10²⁴ atoms of oxygen?
3. How many atoms are in 3.7 moles of gold?

(Remember to use Avogadro's number in your calculations!)

Further Exploration: Molar Mass and Lithium

The molar mass of an element is the mass of one mole of that element in grams. For lithium, the molar mass is approximately 6.94 g/mol. This means that 6.94 grams of lithium contains 6.022 x 10²³ atoms.

This concept allows you to connect the number of moles to the mass of a substance, adding another dimension to your understanding of moles and atoms.

Conclusion

Calculating the number of atoms in a given number of moles is a fundamental skill in chemistry. By understanding Avogadro's number and applying simple proportions, you can easily solve problems involving moles and atoms, just as we did for the 2.19 moles of lithium example. Remember that this is an approximation, as Avogadro's number itself is an approximation. The number of atoms in 2.19 moles of lithium is approximately 1.32 x 10²⁴ atoms.