Considering the Boyle's law, the volume of the balloon at the higher altitude is 7.5 L.
The gas laws are a set of chemical and physical laws that allow determining the behavior of gases in a closed system. The parameters evaluated in these laws are pressure, volume, temperature and moles.
Boyle's law is one of the gas laws that states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant. In other words, if the pressure increases, the volume decreases; while if the pressure decreases, the volume increases.
Boyle's law is expressed mathematically as:
P× V = k
In this law then two variables are related: pressure and volume, so it is assumed that the temperature of the gas and the number of molecules of the gas are constant.
Studying an initial state 1 and a final state 2 is fulfilled:
P1× V1= P2× V2
In this case, you know:
Replacing:
1 atm× 6 L= 0.80 atm× V2
Solving:
[tex]V2=\frac{1 atm x 6 L}{0.80 atm}[/tex]
V2= 7.5 L
Finally, the volume of the balloon at the higher altitude is 7.5 L.
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