Considering the Avogadro's Law, 1.52 moles are left in the container.
Avogadro's Law
Avogadro's Law is a gas law that establishes the relationship between the amount of gas and its volume when temperature and pressure are held constant.
This law states that the volume is directly proportional to the amount of gas: if the amount of gas increases, the volume will increase; while if the amount of gas decreases, the volume decreases.
Mathematically the law can be expressed as:
[tex]\frac{V}{n}=k[/tex]
Assuming that you have a certain amount of gas n1 that occupies a volume V1 and the amount of gas varies until a new value n2, then the volume will change to V2, and the following will be true:
[tex]\frac{V1}{n1}=\frac{V2}{n2}[/tex]
Amount of moles left in this case
In this case, you know:
- V1= 65 L
- n1= 2 moles
- V2= 49.4 L
- n2= ?
Replacing in the Avogadro's Law:
[tex]\frac{65 L}{2 moles}=\frac{49.4 L}{n2}[/tex]
Solving:
[tex]n2x\frac{65 L}{2 moles}=49.4 L[/tex]
[tex]n2=\frac{49.4 L}{\frac{65 L}{2 moles}}[/tex]
n2= 1.52 moles
Finally, 1.52 moles are left in the container.
Learn more about Avogadro's Law:
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