The more you work on a
project the more questions you have. In
trying to better anticipate (in other words: predict) possible problems and
successes we have had to address questions like:
How much helium will we
need? What size balloon do we
need? How high can it go? What will happen to it, as it gets high up? What can we use for a fill tube? How can we hold on to the balloon while it
is filling?
All questions lead to other
questions and most of these brought up the question of: What is the pressure
inside the balloon and how does it change with the size?
As you know from blowing up
party balloons, you have to blow really hard at first and then it gets easy
until just before it bursts. This would suggest that the pressure inside
changes dramatically depending on the size of the balloon. Is this the same as for our huge
meteorological balloons? How much of a
pressure difference is this anyway?
This is the kind of
fundamental question that we can directly measure.
We try to keep this
simple. We have instruments that can
measure pressure and after trying it out we can stretch the neck of a balloon
enough to get a barometric sensor inside.
We need a source of
gas. No it doesn't have to be
helium. What about air? OK but it has to be under some pressure and
capable of very large volume. My
lung-power is out. The lab has a spigot
marked "air".
The barometer will record
the pressure inside the balloon twice a second and we can fill at a constant
flow rate. However, we want to relate
this to the size of the balloon.
It is very hard to measure
diameter. However, we know that both
diameter and volume are easily calculated from circumference. We try a tape measure and it is too stiff to
go around a balloon. We take a string
and mark it off in feet instead.
We recruit extra people and
clear an area for space to work and to remove any sharp edges. One person holds the balloon, one holds the
circumference string, & one has a stopwatch and a data table. The stopwatch and barometer are started and
the room air pressure data is collected for a few seconds before we start the
air flowing into the balloon. When the
balloon first gets rounded out we record the time and circumference. As the balloon's circumference increases to
each additional footmark, we record the time.
It is getting longer and
longer between each new foot of circumference.
This makes sense because the volume is going up as the cube of the
diameter. How long do we continue
this? Not much appears to be happening
but we are nowhere near the bursting point.
We decide to inflate well past the largest size we expect to need on the
ground and then extrapolate for the expected size gain as the balloon rises to
our 1000 ft standard height. The last
foot seems to take forever. We mark the
time, shutoff the air, open the balloon neck, and it seems to take forever to
deflate also.
However, when we examine the
data it looks good. There is definitely
a relationship between the pressure and time (inflation). But what does it mean?
Time |
circumference
in ft. |
radius in
ft. |
diameter
in ft. |
volume in
ft3 |
0 |
- |
- |
- |
- |
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|
37 |
5.25 |
0.84 |
1.67 |
2.44 |
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59 |
6 |
0.95 |
1.91 |
3.65 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
90 |
7 |
1.11 |
2.23 |
5.79 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
|
130 |
8 |
1.27 |
2.55 |
8.65 |
|
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|
0.00 |
|
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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|
|
0.00 |
|
186 |
9 |
1.43 |
2.86 |
12.31 |
|
|
|
0.00 |
|
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|
|
0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
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|
0.00 |
|
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0.00 |
|
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0.00 |
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|
0.00 |
|
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
240 |
10 |
1.59 |
3.18 |
16.89 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
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0.00 |
|
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0.00 |
|
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0.00 |
|
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0.00 |
|
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0.00 |
|
|
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|
0.00 |
|
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|
0.00 |
|
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0.00 |
|
|
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|
0.00 |
|
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|
0.00 |
|
|
|
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0.00 |
|
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|
0.00 |
|
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|
0.00 |
|
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0.00 |
|
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0.00 |
|
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
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0.00 |
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|
0.00 |
|
|
|
|
0.00 |
|
307 |
11 |
1.75 |
3.50 |
22.48 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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|
0.00 |
|
|
|
|
0.00 |
|
405 |
12 |
1.91 |
3.82 |
29.18 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
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|
0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
|
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|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
519 |
13 |
2.07 |
4.14 |
37.10 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
644 |
14 |
2.23 |
4.46 |
46.34 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
839 |
15 |
2.39 |
4.77 |
56.99 |
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
|
|
|
0.00 |
|
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|
|
0.00 |
|
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|
|
0.00 |
|
|
|
|
0.00 |
|
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|
|
0.00 |
|
|
|
|
0.00 |
|
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|
|
0.00 |
|
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|
|
0.00 |
|
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|
|
0.00 |
|
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|
|
0.00 |
|
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|
0.00 |
|
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|
0.00 |
|
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|
0.00 |
|
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|
0.00 |
|
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|
0.00 |
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|
0.00 |
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|
0.00 |
|
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|
0.00 |
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|
0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
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|
|
0.00 |
|
921 |
15.5 |
2.47 |
4.93 |
62.88 |
|
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0.00 |
|
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
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0.00 |
|
990 |
16 |
2.55 |
5.09 |
69.17 |
Looking at the graph, note
that the horizontal scale is in seconds.
1000 seconds is about 17 minutes.
Note the vertical scale. It starts
at 0.976 atm instead of zero. This
means that the vertical changes are exaggerated. The graph starts off fairly constant at just above 0.977
atm. This must be the room pressure in
the lab about 98% of average standard air pressure.
The pressure rapidly goes up
to a high of 0.982 before it drops back down slowly to a low of 0.979 from
which it slowly starts to rise again.
The first high pressure
corresponds with the point at which the balloon first became round and
turgid. The lowest pressure occurred
when the balloon was about 4 feet in diameter.
The pressure is never more than 0.005 atm greater than ambient
pressure. At our normal working size (5
ft diameter), the pressure difference is at its least of 0.002 atm or 0.2% of
ambient.
Answer 1: We can assume that the pressure inside the
balloon is EQUAL to the outside with only a 0.2% error.
Answer 2: Since the pressure
at 5 ft is still well below the maximum, we can feel confident that we are
operating a long way from the pop point.