An experiment was conducted to verify that the behavior of air at low pressures and moderate temperatures can be approximated quite well by the ideal-gas equation of state. In this experiment, the pressures of 1 kg of air at various temperatures and volumes are measured.
The following table shows a portion of the measurements of the pressure P in kPa obtained from the experiment and the entire data set was saved in the file ‘[login to view URL]’. The file contains the values of the pressure when the volume Vwas varied from 0.3 m3 to 1.0 m3 and the temperature T was varied from 300 °K to 400 °K. The first row indicates the values of V and the first column indicates the values of T.
T\V 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
300 285.7 215.1 173.5 142.5 118.5 109.7 91.6 88.3
310 294.5 219.6 181.5 152.7 122.9 107.6 96.3 89.8
320 307.1 229.7 183.0 152.3 130.1 116.4 99.1 92.1
330 316.5 239.9 186.1 155.8 137.7 116.5 102.0 90.6
Write a MATLAB program that reads the above data from the file ‘[login to view URL]’ and write the following output to an output file ‘[login to view URL]’:
a) The reprint of the entire data from the measurements.
b) The theoretical values of the pressure according to the ideal-gas equation of state.
c) The error of each measurement compared to the theoretical value.
d) The number of positive errors and the number of negative errors
e) The maximum error, the minimum error, the average error, and the average of the absolute error of the measurements.
Write a brief report about this project and submit the MATLAB source code and the results printed from the output file. Your report should include Introduction, Problem definition, Problem Solving Approach (algorithm/flowchart), and Discussion and Conclusion.
The ideal-gas equation of state is given as PV=mRT.
wherem is the mass of the gas in kg and the specific gas constant R for air is 0.287 kJ/(kg.°K).
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