An inflated weather balloon has a volume of 0.55 l at sea level (1.0 atm) and is released by the meteorologist to a height of 6.5 km, where the pressure is about 0.40 atm. what is the final volume of the balloon assuming that the temperature constant?
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Answer:
use the ideal gas law. PV=nRT where n is the moles which are constant, r is the ideal gas constant, t is temp, p is pressure, and v is volume. Basically if you do some math you can get PV/(nRT)=1 now you can label a few things and also add a second equation:
P_1*V_1/nRT = 1
P_2*V_2/nRT = 1
Since both equations equal the same thing you can also set them equal to eachother:
P_1*V_1/(nRT) = P_2*V_2/(nRT)
after the constanta cancel out we get the following statement
P_1*V_1=P_2*V_2
Now all that is needed is to solve for V_2 and plug in your numbers, but this will be left to the reader.