Respuesta :

Taking into account the Avogadro's Law, 0.600 moles occupies 1.200 L.

Avogadro's Law

Avogadro's Law is a gas law that relates the volume and amount of gas at constant pressure and temperature.

Avogadro's law states that volume is directly proportional to the amount of gas: increasing the amount of gas will increase the volume, while decreasing the amount of gas will decrease the volume.

Mathematically, this law states that the ratio between the volume and the amount of gas is constant:

[tex]\frac{V}{n} =k[/tex]

Assuming that there is a certain amount of gas n1 that occupies a volume V1 at the beginning of the experiment, by varying the amount of gas to a new value n2, then the volume will change to V2, and the following is true:

[tex]\frac{V1}{n1} =\frac{V2}{n2}[/tex]

Amount of moles in this case

In this case, you know:

  • V1=0.800 L
  • n1= 0.400 moles
  • V2= 1.200 L
  • n2= ?

Replacing in Avogadro's Law:

[tex]\frac{0.800 L}{0.400 moles} =\frac{1.200 L}{n2}[/tex]

Solving:

[tex]n2x\frac{0.800 L}{0.400 moles} =1.200 L[/tex]

[tex]n2=\frac{1.200 L}{\frac{0.800 L}{0.400 moles} }[/tex]

n2= 0.600 moles

Finally, 0.600 moles occupies 1.200 L.

Learn more about Avogadro's Law:

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