The number of moles of gas in the expanded container would be 0.5 moles.
Number of moles of gases
According to Avogadro's law, an equal volume of gases at the same temperature and pressure will contain the same number of molecules.
Avogadro's law can be mathematically expressed as:
[tex]v_1/n_1 = v_2/n_2[/tex]
Where [tex]v_1[/tex] = initial volume, [tex]v_2[/tex] = final volume, [tex]n_1[/tex] = the initial number of moles, and [tex]n_2[/tex] = the final number of moles.
In this case, [tex]n_1[/tex] = 1.25 moles, [tex]v_1[/tex] = 25.0 L, [tex]v_2[/tex] = 10.0 L
Thus, we are to make [tex]n_2[/tex] the subject of the formula:
[tex]n_2 = v_2n_1/v_1[/tex]
= 10 x 1.25/25
= 0.5 moles
In other words, the number of moles of gas in the expanded container is 0.5 moles.
More on Avogadro's law can be found here: https://brainly.com/question/4133756
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