A weather balloon is filled with helium that occupies a volume of 500 L at 0.995 atm and 32.0 ℃. After it is released, it rises to a location where the pressure is 0.720 atm and the temperature is -12 ℃. What is the volume of the balloon at the new location?

Answer : The volume of the balloon at the new location is, 591.3 L

Explanation :

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

where,

= initial pressure of gas = 0.995 atm

= final pressure of gas = 0.720 atm

= initial volume of gas = 500 L

= final volume of gas = ?

= initial temperature of gas =

= final temperature of gas =

Now put all the given values in the above equation, we get:

Therefore, the volume of the balloon at the new location is, 591.3 L

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