Answer:
16.06 L was the initial volume of the balloon.
Explanation:
Initial moles of freon in ballon = [tex]n_1=9.79 mol[/tex]
Initial volume of freon gas in ballon = [tex]V_1=?[/tex]
Moles of freon gas added in the balloon = n = 3.50 mole
Final moles of freon in ballon = [tex]n_2=n_1+n=9.79 mol+3.50 mol=13.29 mol[/tex]
Final volume of freon gas in ballon = [tex]V_2=21.8 L[/tex]
Using Avogadro's law:
[tex]\frac{V_1}{n_1}=\frac{V_2}{n_2}[/tex] ( at constant pressure and temperature)
[tex]V_1=\frac{V_2\times n_1}{n_2}=\frac{21.8 L\times 9.79 mol}{13.29 mol}=16.06L[/tex]
16.06 L was the initial volume of the balloon.
