Answer:
6.7 x 10²⁶molecules
Explanation:
Given parameters
Mass of CO₂ = 4.9kg = 4900g
Unknown:
Number of molecules = ?
Solution:
To find the number of molecules, we need to find the number of moles first.
Number of moles = [tex]\frac{mass}{molar mass}[/tex]
Molar mass of CO₂ = 12 + 2(16) = 44g/mol
Number of moles = [tex]\frac{4900}{44}[/tex] = 111.36mole
A mole of substance is the quantity of substance that contains the avogadro's number of particles.
1 mole = 6.02 x 10²³molecules
111.36 moles = 111.36 x 6.02 x 10²³molecules = 6.7 x 10²⁶molecules
Considering the definition of avogadro's number, 6.707×10²⁵ molecules of CO₂ would be produced.
Avogadro's Number is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole.
Avogadro's number applies to any substance.
First, you must know the number of moles that contain 4.9 kg= 4900 g (being 1 kg=1000 g) of CO₂. For that, you must know that the molar mass of CO2, that is, the mass that contains one mole of the compound, is 44 g/mole.
Then, the number of moles of CO₂ can be calculated as:
[tex]4900 gx\frac{1 mole}{44 g} = 111.36 moles[/tex]
So, you can apply the following rule of three: if by definition of Avogadro's Number 6.023×10²³ molecules are contained in 1 mole of CO₂, then how many molecules of CO₂ are composed of 111.36 moles?
amount of molecules of CO₂= (6.023×10²³ molecules × 111.36 moles)÷ 1 mole
amount of molecules of CO₂= 6.707×10²⁵ molecules
Finally, 6.707×10²⁵ molecules of CO₂ would be produced.
Learn more about Avogadro's Number:
