Passenger BalloonsLong-distance balloon flights are

Chapter , Problem 15P

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Problem 15P

Passenger Balloons

Long-distance balloon flights are usually made using a hot-air balloon/ helium-balloon hybrid. The balloon has a sealed, flexible chamber of helium gas that expands or contracts to keep the helium pressure approximately equal to the air pressure outside. The helium chamber sits on top of an open (that is, air can enter or leave), constant-volume chamber of propane-heated air. Assume that the hot air and the helium are kept at a constant temperature by burning propane.

A balloon is launched at sea level, where the air pressure is 100 kPa. The helium has a volume of  at this altitude. What is the volume of the helium when the balloon has risen to a height where the atmospheric pressure is 33 kPa?