Respuesta :
Answer:[tex]4.98\times 10^{23}[/tex] molecules
Explanation:
According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number [tex]6.023\times 10^{23}[/tex] of particles.
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{76.3g}{92.02g/mol}=0.83 moles[/tex]
1 mole of [tex]N_2O_4[/tex] contains =[tex]6.023\times 10^{23}[/tex] molecules
0.83 moles of [tex]N_2O_4[/tex] contains =[tex]\frac{6.023\times 10^{23}}{1}\times 0.83=4.98\times 10^{23}[/tex] molecules
Thus total number of molecules in 76.3 g of [tex]N_2O_4[/tex] is [tex]4.98\times 10^{23}[/tex] molecules
Taking into account the definition of molar mass and Avogadro's number, 4.99×10²³ molecules are contained in 76.3 g of N₂O₄.
Avogadro's Number
Avogadro's Number or Avogadro's Constant 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.
Definition of molar mass
The molar mass of substance is a property defined as its mass per unit quantity of substance, in other words, molar mass is the amount of mass that a substance contains in one mole.
Moles that contain 76.3 g of N₂O₄
Being the molar mass of N₂O₄ is 92.02 g/mol, you can apply the following rule of three: If by definition of molar mass 92.02 grams of the compound are contained in 1 mole, 76.3 grams are contained in how many moles?
[tex]amount of moles=\frac{76.3 gramsx1 mole}{92.02 grams}[/tex]
amount of moles= 0.829 moles
Molecules contauned in 0.829 moles of N₂O₄
Then you can apply the following rule of three: If by definition of Avogadro's number, 1 mole of the compound contains 6.023×10²³ molecules, 0.829 moles contains how many molecules?
amount of molecules= (6.023×10²³ molecules× 0.829 moles)÷ 1 mole
amount of molecules= 4.99×10²³ molecules
Finally, 4.99×10²³ molecules are contained in 76.3 g of N₂O₄.
Learn more about
Avogadro's Number:
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molar mass:
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