The amount of energy necessary to warm a gas 1C (called the heat capacity of the gas) depends not only on the gas, but on its temperature as well This relationship is commonly modeled with polynomials.

 

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CURVE FITTING OF HEAT CAPACITY OF GAS 1. By using a data given in Table 1, create the data in excel file. 2. Then Create a MATLAB® script to compute a best-fit 1st order, 2nd order, 3rd order and 4th order for the data and evaluate the fitted data using a new temperature given as follow :- new_temp = 250 T to 1500 T with increment of 10 T. 3. Plot them on the same graph. 4. Based on your observation, which model best represents the data? (1st order, 2nd order , 3rd order or 4th order). Then display your polynomial equation. 5. Then, create a short report to present your findings. Please include all the codes, graphs and screenshot of excel files in your report. Make a virtual presentation via pre-recorded video less than 15 minutes for each group. Every member of the group must present his or her part in the video. You and the slide must be in the video. 6. 7. Submit the video and short report to my email yusofnor@fke.utm.my "Hint: formatting display should be as follow :- 810.2d Table 1: Heat capacity of Carbon Dioxide Temperature, T, in K Heat Capacity, C, in kJ/(kg K) 250 0,791 300 0.846 350 0.895 400 0.939 450 0.978 500 1.014 550 1.046 600 1.075 650 1.102 700 1.126 750 1.148 800 1.169 900 1.204 1,000 1.234 1,500 1.328 Source: Tables of Thermal Properties of Gases, NBS Circular 564, 1955. CURVE FITTING OF HEAT CAPACITY OF GAS 1. By using a data given in Table 1, create the data in excel file. 2. Then Create a MATLAB® script to compute a best-fit 1st order, 2nd order, 3rd order and 4th order for the data and evaluate the fitted data using a new temperature given as follow :- new_temp = 250 T to 1500 T with increment of 10 T. 3. Plot them on the same graph. 4. Based on your observation, which model best represents the data? (1st order, 2nd order , 3rd order or 4th order). Then display your polynomial equation. 5. Then, create a short report to present your findings. Please include all the codes, graphs and screenshot of excel files in your report. Make a virtual presentation via pre-recorded video less than 15 minutes for each group. Every member of the group must present his or her part in the video. You and the slide must be in the video. 6. 7. Submit the video and short report to my email yusofnor@fke.utm.my "Hint: formatting display should be as follow :- 810.2d Table 1: Heat capacity of Carbon Dioxide Temperature, T, in K Heat Capacity, C, in kJ/(kg K) 250 0,791 300 0.846 350 0.895 400 0.939 450 0.978 500 1.014 550 1.046 600 1.075 650 1.102 700 1.126 750 1.148 800 1.169 900 1.204 1,000 1.234 1,500 1.328 Source: Tables of Thermal Properties of Gases, NBS Circular 564, 1955.

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SOLUTION CODE Polyfit command has been used in matlab to fit data polynomial of order 3 ... View the full answer