Linearization
You are provided with the
following data and asked to analyze
the information to determine the
relationship between Pressure and
Volume. Do this activity on a
computer spreadsheet if possible.
Pressure (atm)
1.0
1.5
2.5
3.0
5.0
6.5
7.2
8.8
9.4
10.0
Volume (cm3)
500
333
200
167
100
77
69
57
53
50
Step 1: Graph your data.
Step 2: Look at the shape of the curve and select the best estimate of the function shape.
𝑦 = 𝑘𝑥 2
𝑦=
𝑘
𝑥
𝑦=𝑘 𝑥
Step 3: Re-graph y and a function of x based on your graph shape selection.
Step 4: If your new graph comes out linear, write the equation. If not, pick another
function and re-graph.
The next page is an example of how this was done using Excel.
Phy. 121: Linearization
Linearization
Pressure (atm)
Volume
(cm^3)
1.0
1.5
2.5
3.0
5.0
6.5
7.2
8.8
9.4
10.0
508
335
205
172
110
76
70
57
53
49
1/pressure
1.00
0.67
0.40
0.33
0.20
0.15
0.14
0.11
0.11
0.10
Volume
(cm^3)
508
335
205
172
110
76
70
57
53
49
Phy. 121: Linearization