Table 1. Distances of apparatus and initial temperature readings of the water.
Table 1 shows the ambient temperature readings collected before the experiment was carried out. It also shows the positions of the heating coil and thermometers from the base of the of the beaker.
Results
The time was kept in minutes to measure the intervals at which readings were taken. The temperature of the water was measured with thermometers in degreed Celsius and recalculated in degrees Kelvin and the positions of the heating coil and thermometers were also measured in meters.
Table 2: Free convection
Table 3: Forced convection (stirrer and motor)
Table 4: Forced convection (motor only)
Fig 2: Free convection
Fig 3: Forced convection (stirrer and motor)
Fig 4: Forced convection (motor only)
The readings and results derived from the experiment are being used to calculate an estimate amount of energy input and compare it with the theoretical value.
Q represents energy input
represents the power input
t represents the duration for which the water was heated
at 220v = 300w, but since 240v was used corrected value of = 300 240220 = 358 w
= 16 minutes60 = 960s
= 327.3960 = 314208J = 314.2 KJ
Experiment 1. Free convection
Assuming density of water to be 1000kg/m3
Cp = 4.18KJ/kgK
= 24 – 24 = 0
= 54 – 24 = 30
= 56 – 24 = 32
= 4/34.18(0 +30 +32)
= 345.55KJ
Experiment 2. Forced convection (stirrer and motor)
= 42 – 20 =22
= 42 – 20 =22
= 42 – 20 =22
= 4/34.18(22 +22 +22)
= 367.84KJ
Experiment 3. Forced convection (motor only)
= 22 – 20 = 2
= 51 – 20 = 31
= 54 – 20 = 34
= 4/34.18(2 +31 +34)
= 373.41KJ
Estimates of errors involved in this experiment are a follows:-
Time = 1 second in 60 seconds
Length = 0.01 meters of 0.1 meters
Temperature = 1 °C
Discussion
In the experiment that involved forced convection from both the motor and stirrer the heat distribution was better and more accurate. This can be confirmed by the comparison of the energy input calculated based on experimental values with the energy input calculated based on the theoretical values. Readings to support this is shown in Table 3 and fig 3. A poor distribution of heat occurred in the first experiment where the water was heated freely. This is represented in Table 2 and figure 2 and by comparison of the experimental and theoretical values of the energy inputs. In experiment 3 where only the motor was used the graph 3 and figure 4 shows a better distribution of heat compared to experiment 1.
Conclusion
In a freely heated body of water, higher temperatures are taken from closer to the surface and lower temperatures towards the bottom. With introduction of kinetic energy from the stirrer and motor, the velocity of fluid flow increased thereby increasing the rate of heat transfer and the even distribution of heat through the water. This shows that water is a poor conductor of heat energy if heated with free convection.