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Considering the Boyle's law, as the pressure decreases, volume increases and has a value of 2.246 mL.
Boyle's law
Boyle's law establishes the relationship between the pressure and the volume of a gas when the temperature is constant.
This law says that the volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure. This means that 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
If an initial state 1 and a final state 2 are analyzed, Boyle's law is expressed as:
P1×V1=P2×V2
Volume at the surface of the lake
In this case, you know:
- P1= 3.46 atm
- V1= 0.650 mL
- P2= 1 atm
- V2= ?
Replacing in Boyle's law:
3.46 atm× 0.650 mL= 1 atm×V2
Solving:
V2= (3.46 atm× 0.650 mL)÷ 1 atm
V2= 2.246 mL
Finally, as the pressure decreases, volume increases and has a value of 2.246 mL.
Learn more about Boyle's law:
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