where P is the
pressure, V is the volume, and the subscripts 1 and 2 refer to the
initial state before and the final state after the pressure-volume
change, respectively. Eq. 2 shows more clearly that there is an
inverse relationship between pressure and volume. Since volume is
in the denominator, as it increases, the pressure decreases.
Conversely, as the voloume decreases, the pressure increases.
A
plot of pressure vs. volume was made, and a power regression line
fitted to the data. The equation for the trendline is provided in
the upper, right-hand corner of the graph.
volume |
pressure |
48 |
29.125 |
46 |
30.5625 |
44 |
31.9375 |
42 |
33.5 |
40 |
35.3125 |
38 |
37 |
36 |
39.3125 |
34 |
41.625 |
32 |
44.1875 |
30 |
47.0625 |
28 |
50.3125 |
26 |
54.3125 |
24 |
58.8125 |
23 |
61.3125 |
22 |
64.0625 |
21 |
67.0625 |
20 |
70.6875 |
19 |
74.125 |
18 |
77.875 |
17 |
82.75 |
16 |
87.875 |
15 |
93.0625 |
14 |
100.438 |
13 |
107.813 |
12 |
117.563 |
|
|
The equation for the
trendline, with some rounding and simplification, can
be shown to verify Boyle's law, in the form of (eq. 2).
y = 1400 x -0.99 =~1400 x-1
= 1400/x
where y is the pressure and x is the volume.
Alternatively, to further verify Boyle's law,
a linear graph was produced by graphing the pressure, P, as a function
of the inverse of volume, (1/V). This result clearly shows that
pressure and volume are inversely related to each other: