Shown below, we used the boiling point (212°F and 100°C) and the freezing point (32°F and 0°C) of water to construct a graph. Modeling an equation for a line, we developed an equation that shows the relationship between the Fahrenheit and Celsius temperature scale.
In groups, the class made predictions about the temperature in the room.
Each group's prediction was recorded and the average of all the predictions was then found.
Using the average prediction, we calculated the Standard deviation using the equation.
We calculated a standard deviation of 1.896°C ~ 2°C.
Our calculated prediction was 294.35 ± 2 °C.
After achieving a fairly accurate prediction for the temperature in the room, we measured the room temperature by placing a digital thermometer in a cup of water that was sitting in the room for a few minutes.
We also calculated the final temperature for two samples of water combined into one container if they each had different initial temperatures.
We then tested our calculation by using a thermometer and combing water that was about 10°C and water that was about 45°C.
Using logger pro allowed us to see the change graphically.
We performed another calculation to find the final temperature if 50g of water at 5°C is combined with 150g of water at 85°C. The resulting final temperature in our calculation was 75°C.
After predicting the final temperature, we tested the experiment by pouring two different samples water into a styrofoam cup and measuring there temperature over time.
The graph (below) we achieved from Logger Pro allowed us to see the rapid change in the temperature over time.
We then compared how the heat transfer would occur if the two samples of water were combined indirectly by pouring one sample into an aluminum can, and submerging the filled can into the other sample of water.
Shown through the graph, the transfer of heat was more gradual than the previous method.
We illustrated the physical process of combing two fluids at different temperatures.
We listed examples of some variables that would affect the rate of cooling.
We illustrated the process of heating by conduction how molecules of one fluid could affect another group of molecules without directly interacting with them.
The same balloon was heated with blow-torch and still did not pop.
This was due to the water inside the balloon and also due to the fact that the material that makes up the balloon is thin.
We were given a problem:
Two metal blocks are in contact with each other and are completely insulated aside from the ends. One block is made of Copper, has dimensions 5x5x26 cm. and is exposed to water at 100°C.
The other block is made of Aluminum, has dimensions 5x5x33 cm. and is exposed to water at 0°C.
We then demonstrated the relationship with an equation.
We solved the resulting temperature in the middle, where the two blocks contact (T_m).
We calculated the middle temperature to be 67 ± 5 °C.
We measured the power output of a particular heating device and found that it output 126.9Watts.
We analyzed the heat transfer of 200 ml of water in 20 seconds using the 126.9 W of power to heat the water.
We monitored the 20 second heating process using Logger Pro.
We set our y-axis as the Temperature (T) and the x-axis as Heat (Q)
After achieving a graph with the data, we applied a linear fit to the curve.
Temp = mQ+b
m (Slope): 0.0009853 °C/J
b (Y-Intercept): 29.74 °C
Using the data from the linear fit, we calculated the specific heat for water.
Using the equation for heat and the linear fit equation provided by the graph the specific heat calculated was 5070 J/kg°C.
For this calculation, the uncertainty is higher than expected due to the fact that 200g of water was not accurately measured. 200 ml of water was roughly measured in a beaker prior to the experiment.
uncertainty is about 20%
(0.20)(5070) = 1014
[measured] Specific Heat of water: 5070 ± 1000 J/kg°C
