A cylinder containing 14.71 L of helium gas at a pressure of 169.1 atm is to be used to fill toy balloons to a pressure of 1.086 atm. Each inflated balloon has a volume of 2.414 L. What is the maximum number of balloons that can be inflated? Report your answer to 1 decimal place. (Remember that 14.71 L of helium at 1.086 atm will remain in the exhausted (empty) cylinder)

The number of balloons is 948.8.

Explanation:

The number of balloons can be calculated as follows:

Where:

: is the volume at 1.086 atm

: is the balloon volume = 2.414 L  

The volume at 1.086 atm can be found using Boyle's law:

Now, the number of balloons is:

Therefore, the number of balloons is 948.8.

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