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Taking into account the Boyle's law, the new pressure in the balloon is 120 000 Pa.
Boyle's law establishes the relationship between the pressure and the volume of a gas when the temperature is constant.
Boyle's law 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: if the pressure increases, the volume decreases, while if the pressure decreases, the volume increases.
Mathematically, this law says that if the amount of gas and the temperature remain constant, the product of pressure times volume always has the same value:
P×V= k
Now it is possible to assume that you have a certain volume of gas V1 which is at a pressure P1 at the beginning of the experiment. If you vary the volume of gas to a new value V2, then the pressure will change to P2, and the following is true:
P1×V1=P2×V2
In this case, you know:
Replacing in the Boyle's law:
100 000 Pa×0.030 m² =P2×0.025 m²
Solving:
(100 000 Pa×0.030 m²) ÷0.025 m²= P2
120 000 Pa= P2
Finally, the new pressure in the balloon is 120 000 Pa.
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