If an object is heated, the temperature of the body will increase. The energy (Q) associated...
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If an object is heated, the temperature of the body will increase. The energy (Q) associated with a change in temperature (AT) is a function of the mass of the object (m) and the specific heat (Cp). 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: AT = Q mCp Heat applied (Q) [J] Temp change (AT) [K] Script 1 %% Variables to be used 2 % Inputs 3% Q heat applied 4 % DT 12 1.50 (a) Create a proper plot of the experimental temperature change (AT, ordinate) versus the heat applied (Q, abscissa). (b) Use polyfit to determine a linear relationship for the data set and graph the resulting trendline along with the experimental data. (c) Create a proper plot of the theoretical model that represents the temperature change (AT, ordinate) versus the heat applied (Q, abscissa). Consider the mass (m) to be 5 kilograms and the specific heat (Cp) to be copper at 0.39 joules per gram kelvin. Include this plot on the figure with parts a and b. Note: To distingush between the two lines, include the equation of the line next to each and put a border around each equation that matches the color and line type of its line. temperature change 17 25 2.00 3.25 40 50 5.00 6.25 6 % Outputs 7% m - slope value from linear model 8% by-intercept value from linear model. 9 10 %% Program 11 % Start writing your program here 12 Q-[12,17,25,40,50,58]; 13 DT-[1.5,2.0,3.25,5.0, 6.25,7]; 58 7.00 Save C Reset MATLAB Document. If an object is heated, the temperature of the body will increase. The energy (Q) associated with a change in temperature (AT) is a function of the mass of the object (m) and the specific heat (Cp). 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: AT = Q mCp Heat applied (Q) [J] Temp change (AT) [K] Script 1 %% Variables to be used 2 % Inputs 3% Q heat applied 4 % DT 12 1.50 (a) Create a proper plot of the experimental temperature change (AT, ordinate) versus the heat applied (Q, abscissa). (b) Use polyfit to determine a linear relationship for the data set and graph the resulting trendline along with the experimental data. (c) Create a proper plot of the theoretical model that represents the temperature change (AT, ordinate) versus the heat applied (Q, abscissa). Consider the mass (m) to be 5 kilograms and the specific heat (Cp) to be copper at 0.39 joules per gram kelvin. Include this plot on the figure with parts a and b. Note: To distingush between the two lines, include the equation of the line next to each and put a border around each equation that matches the color and line type of its line. temperature change 17 25 2.00 3.25 40 50 5.00 6.25 6 % Outputs 7% m - slope value from linear model 8% by-intercept value from linear model. 9 10 %% Program 11 % Start writing your program here 12 Q-[12,17,25,40,50,58]; 13 DT-[1.5,2.0,3.25,5.0, 6.25,7]; 58 7.00 Save C Reset MATLAB Document.
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