✏️AVOGADRO'S LAW
[tex]\tt{\huge{\green{Solution:}}}[/tex]
The problem asks to solve for the final volume of the floating device. First, we need to identify the quantities to be used. These are
V₁ = initial volume
V₂ = final volume
n₁ = initial amount of gas (in moles)
n₂ = final amount of gas (in moles)
Second, we need to identify the given values. These are
V₁ = 7.25 L
n₁ = 2.51 mol
n₂ = n₁ + 5.20 mol = 2.51 mol + 5.20 mol = 7.71 mol
[Note: 5.20 mol here is not the final amount. It is the amount added to the system. That is the reason why 5.20 moles is added to the initial amount (2.51 mol). Therefore, the final amount is 7.71 mol.]
Finally, we can now solve for the final volume. Therefore, the final volume is
[tex]V_{2} = \dfrac{V_{1}n_{2}}{n_{1}}[/tex]
[tex]V_{2} = \dfrac{(\text{7.25 L})(\text{7.71 mol})}{\text{2.51 mol}}[/tex]
[tex]\boxed{V_{2} = \text{22.3 L}}[/tex]
[tex]\\[/tex]
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