The final atmospheric pressure is [tex]5.19\cdot 10^4 Pa[/tex]
Explanation:
Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,
[tex]pV=const.[/tex]
where
p is the gas pressure
V is the volume
The equation can also be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
where in our problem we have:
[tex]p_1= 1.03\cdot 10^5 Pa[/tex] is the initial pressure (the atmospheric pressure at sea level)
[tex]V_1 = 90.0 L[/tex] is the initial volume
[tex]p_2[/tex] is the final pressure
[tex]V_2 = 175.0 L[/tex] is the final volume
Solving the equation for p2, we find the final pressure:
[tex]p_2 = \frac{p_1 V_1}{V_2}=\frac{(1.01\cdot 10^5)(90.0)}{175.0}=5.19\cdot 10^4 Pa[/tex]
Learn more about ideal gases:
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