(a) Calculate the change in air pressure you’ll experience if you climb a 1000 m mountain, assuming for simplicity that the temperature and air density do not change over this distance and that they were 22C and 1.2 kg/m3, respectively, at the bottom of the mountain. (Note: The result of Example 18.4 doesn’t apply, since the expression derived in that example accounts for the variation of air density with altitude and we are told to ignore that here.) (b) If you took a 0.50 L breath at the foot of the mountain and managed to hold it until you reached the top, what would be the volume of this breath when you exhaled it there?

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(a) Calculate
the change in air pressure you’ll experience if you climb a 1000 m
mountain, assuming for simplicity that the temperature and air density
do not change over this distance and that they were 22C and 1.2 kg/m3,
respectively, at the bottom of the mountain. (Note: The result of
Example 18.4 doesn’t apply, since the expression derived in that example
accounts for the variation of air density with altitude and we are
told to ignore that here.) (b) If you took a 0.50 L breath at the foot of the
mountain and managed to hold it until you reached the top, what would
be the volume of this breath when you exhaled it there?

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