The number of balloons that can be filled is required.
The required number of balloons is 955.4.
Gas laws
[tex]V_1[/tex] = Volume in tank = 14.68 L
[tex]P_1[/tex] = Pressure in tank = 169.3 atm
[tex]V_2[/tex] = Volume of one balloon = 2.429 L
[tex]P_2[/tex] = Pressure in balloon = 1.071 atm
In order to exhaust the gas in the tank the product of the pressure and volume will be equal to the pressure and volume of all the balloons combined.
Let number of balloons that can be inflated be x.
Here, amount of substance and temperature are constant, so
[tex]P_1V_1=xP_2V_2\\\Rightarrow x=\dfrac{P_1V_1}{P_2V_2}\\\Rightarrow x=\dfrac{169.3\times 14.68}{1.071\times 2.429}\\\Rightarrow x=955.357\approx 955.4\ \text{balloons}[/tex]
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