Respuesta :
Answer:
30.05 mol
Explanation:
solving the proportion
V1 / n1 = V2 / n2
5.120 L 18.10 L
–––––––– = ––––––
8.500 mol x
x = 30.05 mol
The final number of moles in the container is required.
The final amount of moles is 30.05 moles.
[tex]V_1[/tex] = Initial volume = 5.12 L
[tex]n_1[/tex] = Initial moles = 8.5 mol
[tex]V_2[/tex] = Final volume = 18.1 L
[tex]n_2[/tex] = Final moles
It is given that pressure and temperature are constant so from the ideal gas law we get
[tex]V\propto n[/tex]
So,
[tex]\dfrac{V_2}{V_1}=\dfrac{n_2}{n_1}\\\Rightarrow n_2=\dfrac{V_2}{V_1}\times n_1\\\Rightarrow n_2=\dfrac{18.1}{5.12}\times 8.5\\\Rightarrow n_2=30.05\ \text{moles}[/tex]
The final amount of moles is 30.05 moles.
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