Fahrenheit vs. Celsius
We started by examining the relationship between Fahrenheit and Celsius. Values at boiling and freezing temperatures were looked at and these values were used to find temperature in Kevin. With the numerous values, we were able to determine our uncertainty through standard deviation.
Equilibrium Temperature
Using the given values, our group was able to calculate the final temperature, or the temperature at which the system is at equilibrium. We used theoretical equations of heat and set up the equation to describe an environment where no heat escapes.
Finding Specific Heat of an Aluminum Can
Using the measured values, we calculated the specific heat capacity of an aluminum can using our heat equations and the theory of energy exchange. We found that our experimental values were off a bit and composed a list of possible reasons why our calculations were off, in red, on our board.
Uncertainty of Specific Heat of Can
Graph Representation of Heat Transfer
Once the cold can was placed in the cup of hot water, a transfer of heat occurs. This is a graphical representation of both objects reaching thermal equilibrium. Our graph shows that the cup of hot water dramatically dropped in temperature while the cold can barely rose in temperature.
Cooling Rate
As a group, we created a list of variables that may effect cooling.
Heat Through an Object
In red, we created a list of variables that could effect the rate at which heat transfers. An equation for the transfer of heat is displayed in the top right corner in blue.
Heat Flow Through Copper and Aluminum
Here, we calculated the change in temperature using heat flow through the copper and the aluminum. We determined the heat flow by determining the total resistance factor of the two metals.
Graphical Representation of Heat Transfer
Heat vs. Temperature in Celsius showed to have a linear slope.
Making Sense of Our Graph
We were able to find the specific heat capacity by examining the linear portion of our graph. This linear portion resembles one of our fundamental heat equations Q=mc∆T, where mc is our slope variable.
Thermal Equilibrium
In an example of thermal equilibrium, we found that two cups of water, at roughly the same mass but opposite temperatures, came to the equilibrium temperature at nearly the same rate.
Conclusion: We confirmed that the transfer of heat is dependent on temperature change, the masses that transfer heat, and the capacity at which they transfer heat. Using a similar principle, we were, also, able to determine the heat flow between two metals and found that the flow was proportional to the area at which it flows through and falls over the resistance of the flow due to the material. Various of other examples were done to confirm the theory of heat flow, such as inserting the can into the cup of water and examining the rate at which the system reaches thermal equilibrium. We found, in that example, that the aluminum between the two objects slows the rate at which heat transfers into the can, acting as an insulator or the water inside.
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