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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.