The equation that can be used to find the final moles of gas in the balloon would be Avogadro's law.
Avogadro's law states that at constant pressure, the number of moles present in a gas is directly proportional to the volume of the gas. In other words, there is a direct relationship between the volume and the number of moles present in a gas.
The law is mathematically expressed as: [tex]v_1/n_1[/tex] = [tex]v_2/n_2[/tex]
Where [tex]v_1[/tex] is the initial volume of gas, [tex]v_2[/tex] is the final volume, [tex]n_1[/tex] is the initial number of moles, and [tex]n_2[/tex] is the final number of moles of gas.
In this case, [tex]n_1[/tex] = 0.40 mol, [tex]v_1[/tex] = 5.0 L, and [tex]v_2[/tex] = 1.0 L. What we are looking for is [tex]n_2[/tex].
[tex]n_2[/tex] = [tex]n_1v_2/v_1[/tex]
= 0.4x1/5
= 0.08 mol
Thus, the equation to be used to find the final number of moles of the gas would be the equation derived from Avogadro's law.
More on Avogadro's law can be found here: https://brainly.com/question/3491421
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