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A balloon has a volume of 5.0 L at a pressure of 0.863 atm. What is the volume of the balloon in
liters if the atmospheric pressure is reduced to 0.321 atm?


Sagot :

Answer:

V₂ = 13.44 L

Explanation:

Given that,

Initial volume, V₁ = 5 L

Initial pressure, P₁ = 0.863 atm

Final pressure, P₂ = 0.321 atm

We need to find the final volume of the balloon. The relation between the volume and pressure is given by :

[tex]P_1V_1=P_2V_2[/tex]

Where

V₂ is the volume of the balloon

So,

[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{0.863 \times 5}{0.321 }\\\\V_2=13.44\ L[/tex]

So, the final volume of the balloon is equal to 13.44 L.