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Mole vs Number of Particles


1 mole of chemical substance = 6.02 x 1023 of particles

Avogadro constant = 6.02 x 1023
Example 1
Find the number of atoms in 2.5 mol of gold.

Answer:
Number of atoms
= Number of mole x Avogadro constant
= 2.5 x 6.02 x 1023 = 1.505 x 1024 

Example 2
How many moles of magnesium that contain 2.76 x 1023 of magnesium atom?

Answer:
Number of mole
= Number of atoms ÷ Avogadro constant
= 2.76 x 1023 ÷ 6.02 x 1023
= 0.46 mol





Example 3:
  1. How many hydrogen molecules can be made with 20 mol of hydrogen atoms?
  2. How many hydrogen atoms are there in 20 mol of hydrogen molecules?
Answer:
a. 
Each hydrogen molecules (H2) consist of 2 hydrogen atoms.
Therefore, 20 mol of hydrogen atoms can make 10 mole of hydrogen molecules.

b. Number of mole of hydrogen atoms in 20 mole of hydrogen molecules

= 2 x 20 mole = 40 mole.

Example 4:
  1. Find the number of carbon atom in 0.75 mol of carbon dioxide.
  2. Find the number of oxygen atom in 0.75 mol of carbon dioxide.
Answer:
a. 
Each carbon dioxide molecules (CO2) consist of 1 carbon atom and 2 oxygen molecules.
Therefore, 0.75 mole of carbon dioxide contain 0.75 mole carbon atoms.

b.

Number of mole of oxygen atoms in 0.75 mole of carbon dioxide
= 2 x 0.75 mole = 1.50 moles.
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