NEWTON’S LAW OF
COOLING
By
Timmyly Latona
Chemistry 217
[Teacher’s Name]
INTRODUCTION
The purpose of this lab is to investigate Newton’s Law of Cooling. This experiment will determine
how well Newton’s law of cooling fit real data compared to theoretical data, and to investigate the
effect of changing the volume on cooling water.
PROCEDURE
Three beakers of water were used for this experiment. The first held 100 ml of water, the second
300 ml, and the third 800 ml. All three beakers originally held water at boiling point. Each beaker
had its own thermometer and the thermometers were kept in the beakers between measurements so
there would be no temperature lag. The temperature is measured every minute for 35 minutes and
then every 5 minutes for the remainder of one hour. The ambient temperature for this investigation
was 22.4°C.
DATA/ CALCULATIONS AND RESULTS
The table below shows the data obtained from the procedure. From this data a scatter plot graph is
created to compare the results. This graph shows that the water in the smaller beaker cooled more
quickly
Newtons Law of Cooling
TEMERATURE °C
120,0
100,0
80,0
60,0
40,0
20,0
0,0
0
1
10
20
30
40
TIME (MIN)
100 ml
300 ml
800 ml
50
60
70
100 ml
Time(min) Temperature (°C)
0.00
96.0
0.01
84.4
0.02
79.1
0.03
74.1
0.04
70.1
0.05
67.0
0.06
64.1
0.07
62.1
0.08
59.8
0.09
57.4
0.10
55.5
0.11
53.7
0.12
52.1
0.13
50.8
0.14
49.5
0.15
48.4
0.16
47.4
0.17
46.4
0.18
45.6
0.19
44.9
0.20
44.1
0.21
43.2
0.22
42.3
0.23
41.5
0.24
40.7
0.25
40.1
0.26
39.4
0.27
38.8
0.28
38.2
0.29
37.7
0.30
37.2
0.31
36.7
0.32
36.3
0.33
35.8
0.34
35.5
0.35
35.0
0.40
33.2
0.45
32.2
0.50
31.1
0.55
30.1
0.60
29.0
2
300 ml
800 ml
Temperature (°C)
96.4
87.1
83.0
79.4
76.5
73.9
71.4
69.3
67.5
65.8
64.2
62.7
61.5
60.1
58.7
57.3
56.2
55.0
54.0
53.0
52.1
51.3
50.5
47.7
49.0
48.4
47.8
47.2
46.6
46.0
45.6
45.2
44.7
44.2
43.5
43.0
40.6
38.6
37.0
35.6
34.4
Temperature (°C)
96.0
94.4
91.6
89.2
86.9
84.8
82.9
81.1
79.4
77.8
76.4
75.0
73.7
72.5
71.4
70.2
69.2
68.3
67.3
66.4
65.5
64.7
63.9
63.1
62.3
61.5
61.1
60.4
59.6
58.1
57.3
56.7
56.0
55.3
54.8
52.1
49.9
47.5
46.2
44.8
Now using the integrated equation and 4 times for each beaker, a theoretical value is obtained and
compared to the experimental data.
Time
K for 100 ml
K for 300 ml
K for 800 ml
5
-0.100182233
-0.071412644
-0.02639596
10
-0.079911174
-0.056574869
-0.028406543
20
-0.061066638
-0.045374899
-0.02572277
30
-0.053467261
-0.038483092
-0.024116478
Average k
-0.073656827
-0.052961376
-0.026160438
100 ml
300 ml
120,0
120,0
100,0
100,0
80,0
80,0
60,0
60,0
40,0
40,0
20,0
20,0
0,0
0,0
0
10
20
30
40
Experiment Data
50
60
70
0
Theoretical Values
10
20
30
Experiment Data
40
Theoretical Values
800 ml
120,0
100,0
80,0
60,0
40,0
20,0
0,0
0
10
20
30
Experiment Data
3
40
50
Theoretical Values
60
50
70
60
70
CONCLUTION
From this data, it can be observed that the water in the smaller beakers cooled more quickly than the
water in the larger beakers. In all the beakers, the experimental temperature fell more quickly at the
beginning of the experiment than the theoretical value. In the 100 ml and 300 ml beakers, the
experimental data temperature fell more slowly than predicted toward the end. The 300 ml followed
the Newton’s Law of Cooling model more closely than the smaller and larger beaker did. Overall the
data obtained showed Newton’s law of cooling fit real data very well. It also showed that volume
makes a big difference in cooling time.
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