A weather balloon carries instruments that
measure temperature, pressure, and humidity as
it rises through the atmosphere. Suppose such a
balloon has a volume of 1.2 m 3 at sea level where
the pressure is 1 atm and the temperature is
20 ° C. When the balloon is at an altitude of 11 km
(36,000 ft) the pressure is down to 0.5 atm and the
temperature is about − 55 ° C.
What is the volume of the balloon then?