I. Write down the equation you obtained relating pressure to volume:
P=
Analyze the graph of this function to answer the following questions:
A. Find the pressure in the sytem when the volume is:
1. 8 ml:
2. 16 ml:
B. Determine the volume that will generate a pressure of:
1. 1.5 atm:
2. .75 atm:
C. Where do V and P have the same value:
D. As the volume increases, what happens to the pressure? What value
does P approach?
E. As the volume gets smaller, what happens to the pressure? Explain
why this conclusion is compatible with the physical model of the
experiment?
F. Is the pressure change greater as the volume changes from 5 ml to
10 ml or as the volume changes from 15 ml to 20 ml? Why?
G. Which hose diameter(1/2 inch or 1/4 inch) will produce a stream of
water with "more power"? Is this consistent with Boyle's law?
II. Set up a stat plot on your calculator that uses pressure as the x
list and volume as the y list. Now determine a regression formula for
V in terms of P:
V=
A. How does this equation compare to the original in I?
B. Solve the original equation for V. Does this support your
conclusion for A?
C. This funciton is rather unusual in that it is its own inverse.
Determine another function with this property:
III. Light Intensity. The intensity of a light source is inversely
proportional to the square of its distance from the detector. Suppose
a light has an intensity of 40 candelas at a distance of 1 meter.
A. Solve for the proportionality constant K:
B. Write an equation which expresses the light intensity as a
function of its distance:
C. Use this equation to fill in the following table:
|
D (in m) |
I (in cdl) |
|---|---|
|
.25 |
|
|
.5 |
|
|
1.5 |
|
|
2 |
|
|
3 |
|
|
|
1 |