Chapter 17, Problem 15RQ

If an object is heated, the temperature of the body will increase. The energy (Q) associated with a change in temperature (ΔT) is a function of the mass of the object (m) and the specific heat (C_p). In an experiment, heat is applied to the end of an object, and the temperature change at the other end of the object is recorded. This leads to the theoretical relationship shown. An unknown material is tested in the lab, yielding the following results:

     $\Delta \text{T=QmCp}$

1. a. Create a proper plot of the experimental temperature change (ΔT, ordinate) versus the heat applied (Q, abscissa).
2. b. Use polyfit to determine a linear relationship for the data set and graph the resulting trendline along with the experimental data.
3. c. Create a proper plot of the theoretical model that represents the temperature change (ΔT, ordinate) versus the heat applied (Q, abscissa). Consider the mass (m) to be 5 kilograms and the specific heat (C_p) to be copper at 0.39 joules per gram kelvin.