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Nt1310 Unit 2 Lab Report

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When comparing equation 2 to the original data, the equation visually appears identical, however, it crosses the y-axis at a slightly lower value than the original value. Furthermore, the graph seems to be an exponential decay, thus, the asymptote remains the same for both the equation and original data. A list of values produced by the equation is compared to the values of the original data from the experiment, in order to provide a better comparison and accuracy of the model. Table 2: A data table showing the comparison of recorded data from equation 2 and the original data from the experiment.

Comparison of recorded data from Equation 2 and the original data from the experiment. t (min)
Recorded temperature from the experiment …show more content…
Since, the line of best fit was used to determine equation 2, it is not yet certain that by using the line of best fit, it has increased or decreased the accuracy of equation 2 by taking into consideration the small fluctuation produced by real-world factors. Nevertheless, the accuracy of the data that is fitted to equation 2 increased, resulting in the R-squared to be 0.9964. Additionally, a theoretical pathway can be taken to produce a more accurate equation using Newton’s Law of Cooling.

Throughout the duration of the research trying to solve Newton’s Law of Cooling is a law founded by Sir Isaac Newton, who states that the “rate of changedTdt, of the temperature of an object, is proportional to the difference between its own temperature (T) and the ambient temperature (Ta).”

The tea is hotter than the ambient temperature, hence, the tea is cooling down. Therefore, with decreasing temperature, it indicates that there is a negative instantaneous change, so the derivativedTdtwill be negative. The equation, which will be later produced must follow the following sign pattern. dTdt=-k (T- Ta) k is a positive

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