Respuesta :
Answer:
35.0 kPa
Explanation:
As pressure decreases, the volume of a gas increases at a given temperature., so since the balloon got bigger, the new pressure must be less than 103kPa
Assuming the temperature does not change, use Boyles Law
P1V1 = P2V2
(103kPa) (1750L) = P2 (5150L)
P2 = (103)(1750) / 5150
The pressure of the gas is inversely proportional to the volume of the gas. The pressure of the balloon at 5150 L is 35.0 kPa.
What is Boyle's Law?
Boyle's Law states the relationship between the initial pressure and volume to the final pressure and the volume. It is given as,
[tex]\rm P_{1}V_{1} = \rm P_{2}V_{2}[/tex]
Given,
The initial pressure of the weather balloon = 10.3 kPa
The initial volume of the weather balloon = 1750 L
The final pressure of the weather balloon =?
The final volume of the weather balloon = 5150 L
Substituting values in the above equation:
[tex]\begin{aligned} \rm P_{2} &= \rm \dfrac{P_{1}V_{1}}{V_{2}}\\\\&= \dfrac{103 \times 1750}{5150}\\\\&= 35 \;\rm kPa\end{aligned}[/tex]
Therefore, the final pressure decreases with an increase in volume.
Learn more about Boyle's Law here:
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