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This picture was taken fromhttp://www.stmatthewsschool.com/deep/deep2001/06/enhcmnt.html

 

The formula for Boyle's Law is P1 * V1=P2 * V2. This formula relates to the volume and the pressure upon an object. As the pressure increases, the volume decreases, and as the pressure decreases, the volume increases. Therefore Boyle's formula is in the form of an inverse variation. Although our experiment's purpose was not to prove Boyle's law, our results did prove his theory and formula. To help convey to the reader the reason why volume increases as pressure decreases and decreases as pressure increases, we will substitute the following example pressures and volumes into Boyle's equation.

P1 * V1=P2 * V2
14.7psi * 20 cubic inches=29.4psi * V2

Note 1: As one can see, to make the right side of the equation proportionate to the left side, one must substitute a smaller volume than V1 into the right side of the equation.

14.7psi * 20 cubic inches=29.4psi * 10 cubic inches
294 psi per cubic inch=294 psi per cubic inch

From analyzing this formula, one can see that it will always work according to the fact that as pressure increases the volume decreases and vice versa, because the two sides of the equation must counter balance the other.

Our purpose in our experiment was not to compare the relationship between pressure and volume, but to compare the relationship between the interior pressure(inside a balloon) required to overcome the pressure exerted on it and burst the balloon. We found that the interior pressure required to burst a balloon increased at an extremely constant rate. Due to the fact the interior pressure needed to pop a balloon increased at a constant rate, we knew the relationship between the two variables would be linear. This conclusion that the relationship is linear helped us discover a formula for the interior pressure needed to pop a balloon. This is because we then knew that the formula would have to be a straight line equation. Another conclusion we made from our results that helped us to discover this formula, was that the growth in the required bursting interior pressure increased as exterior pressure increased. Therefore, we knew that the slope in our equation would be positive. To find the formula, all we had to do next was plug in our x and y coordinates into y=mx=b. Then we plugged in different positive slopes and y-intercepts into the equation, until we found the right combination that satisfied all of the coordinates in our results.
Boyle's Law is an extremely dependable law. However, it does not factor in temperature. Temperature infact, changes the air density of an object underwater. In warm waters such as in Hawaii, lungs have a greater volume than a lung in cold water(assuming the depth in the water is the same for both lungs). This is because air molecules spread out more and move more freely as they become more heated. The spreading of molecules in turn, expands the lung itself. When molecules are cooled on the other hand, they condense and move very little. Although the above does not mean that warm waters are more dangerous to scuba dive in, because the regulator adjusts to how much air is needed to sufficiently fill the lung. Therefore as one can see, in warmer waters the regulator distributes less air to the lungs. In colder waters however, the the regulator has to distribute more air to the lungs to make up for the volume lost, due to the are extreme fluctuations in the temperature in the water. This is because the regulator will not be able to adjust to the amount of air needed to satisfy the lungs, as one ascends to the surface. Therefore, a diver must ascend with utmost slowness and deliberacy inorder to give the regulator enough time to adjust to the circumstance.

We hope that in this informative essay, we have helped to describe how Boyle's Law and our experiment work, and how Boyles Law can be changed by different temperatures. Basically, the purpose of this essay is to give the reader some background information and an understanding of Boyle's Law.

 

This picture was taken from Birdie and Jordie's project at http://www.stmatthewsschool.com/deep/deep2001/14/bckgrnd.html

 

This picture was taken from Birdie and Jordie's project at http://www.stmatthewsschool.com/deep/deep2001/14/bckgrnd.html