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5 15,7.5,3.75,1.875 0.9375 cm2 5 8783.264 J
5
=
AbstractThe purpose of this experiment was to study
therelationship between surface area and heat transferrate. A
Calorimeter was used to control theexperiment to closed system.
Then, the
:
(The study of relationship between the surface areaand the heat
transfer rate)
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instantaneous quantities of heat between the hotwater and 5
Copper sheets that their surface areas
were 15,7.5,3.75,1.875 0.9375 cm2 wascalculated until heat
transferred was complete . It wasfound that when heat transferred
was completed , thequantities of flown heat were approximatly
equaled to8783.264 J. It could be explained by formula Q=mct.
The results were analyzed and shown that the heattransfer rate
was directly proportional to surface area.
This conformed to Newton's Law of Cooling which this
law was shown by equation as follows. q=hA
t when qwas heat flow in input or lost heat flow, h was
heattransfer coefficient, A was heat transfer surface areaand t was
difference in temperature between thesolid surface and surrounding
fluid area.
(Calorimeter)
(Heat transfer)
3
1
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(Heat Convection)
(Thermal equilibrium) ()
(Heat capacity :C) JK-1
(Specific heatcapacity:c) m
Q
(Newtons law ofcooling)
= , J/s =W
= , W/
(m2K)= , m2=
, K
1. 1000 cm3
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1 2. 1
2 3. 1
3
4. 15 cm26
4 5.
1
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5
6. 1
6 7. 1
7 8. 1
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8 9.
8
9
1.1.1
1.2 125 cm3
1.3 2 1
1.4
1.5 1.6 125 cm3
5
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1.7 1 g/cm3 4.184 J/g C
Q = Q + Q 2.2.1 125 cm3
C
2.2 15 cm2
2.3 5
2.4 2.1-2.3 7.5,3.75,1.875 0.9375 cm2
2.5 Q = Q +Q
3.3.1 Q 3.2
3.3
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0.69 g
150.18 g 125 cm3 259.20 g
125 cm3 109.02 g 34 C
34 C 99 C
61 C
J
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1
1 ( t -t ) 2
( t -t )
t -t (C) (s)
(cm2
)
(C)
(s)
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
46
1541
47 51 59 63 70 73 76 79 81 83 85 86 87 87 87 - - - - - - - -
7.542
49 54 58 61 63 66 69 71 76 78 80 82 83 84 84 85 8586.5
86.5
86.5
- - -
3.7542
45 49 53 56 61 66 69 72 74 77 80 82 83 84 85 85 86 86 87 87 87 -
-
1.875
42
45 48 51 54 59 63 66 69 71 74 76 79 81 82 83 84 85 85 8686.5
86.5
86.5
0.9375
41
43 45 46 49 51 55 55 59 63 65 66 69 70 72 75 79 83 83 85 86 87
87 87
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0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
46
15 0 6 10 18 22 29 32 35 38 40 42 44 45 46 46 46 - - - - - - -
-
7.5 0 7 12 16 19 21 24 27 29 34 36 38 40 41 42 42 43 4344.5
44.5
44.5 - - -
3.75 0 3 7 11 14 19 24 27 30 32 35 38 40 41 42 43 43 44 44 45 45
45 - -
1.875
0 3 6 9 12 17 21 24 27 29 32 34 37 39 40 41 42 43 43 4444.5
44.5
44.5
-
0.9375
0 2 4 5 8 10 14 14 18 22 24 25 28 29 31 34 38 42 42 44 45 46 46
46
1 2 Q = Q +Q = mct + Ct = (109.02+0.69)(t -t ) + ( )(t -t )= (t
-t )(109.02+0.69+ ) =(t -t )(194.32)
3
(J)
(s)
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44
46
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15 0 1165.92
1943.2
3497.76
4275.04
5635.28
6218.24
6801.2
7384.16
7772.8
8161.44
8550.08
8744.4
8938.72
8938.72
8938.72
- - - - - - - -
7.5 0 1360.242331.84
3109.12
3692.08
4080.72
4663.68
5246.64
5635.28
6606.88
6995.52
7384.16
7772.8
7967.12
8161.44
8161.44
8355.76
8355.76
8647.24
8647.24
8647.24
- - -
3.75 0 582.961360.24
2137.52
2720.48
3692.08
4663.68
5246.64
5829.6
6218.24
6801.2
7384.16
7772.8
7967.12
8161.44
8355.76
8355.76
8550.08
8550.08
8744.4
8744.4
8744.4
- -
1.875
0582.96
1165.92
1748.88
2331.84
3303.44
4080.72
4663.68
5246.64
5635.28
6218.24
6606.88
7189.84
7578.48
7772.8
7967.12
8161.44
8355.76
8355.76
8550.08
8647.24
8647.24
8647.24
0.9375
0388.64
777.28
971.6
1554.56
1943.2
2720.48
2720.48
3497.76
4275.04
4663.68
4858
5440.96
5635.28
6023.92
6606.88
7384.16
8161.44
8161.44
8550.08
8744.4
8938.72
8938.72
8938.72
1 2 3 15 7.5 3.75 1.875 0.9375 8938.72 8647.24 8744.408647.24
8938.72
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1
1 1.5 7.5,3.75,1.875 0.9375 1 2
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2 15,7.5,3.75,1.875 0.9375 26 36 38 40 42 y =
-1.0781x+42.667
15,7.5,3.75,1.875 0.9375 8938.72 8647.24 8744.40 8647.24 8938.72
5 0.69
15,7.5,3.75,1.875 0.9375 26 36 38 40 42 y = -1.0781x+42.667
= , J/s = W= , W/(m2K)= , m2=
, K
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