The amount of energy necessary to warm a gas 1C (called the heat capacity of the gas)
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Question:
The amount of energy necessary to warm a gas 1ºC (called the heat capacity of the gas) depends not only on the gas, but on its temperature as well. This relationship is a commonly modeled with polynomials. For example consider the following data in table 13.5.
Use MATLAB to model these data as a polynomial. Then compare the results with those obtained from the model published in B.G. Kyle, Chemical and Process Thermodynamics. Namely
Cp=(1.698x10 -10 )T 3 - (7.957x10 -7 )T 2 + (1.359x10 -3 )T + 5.059x10 -1
Create an empirical mathematical model that describes heat capacity as a function of temperature. Compare the results with those obtained from published models.
Table 13.5 Heat Capacity of Carbon Dioxide
Temp(T) in K | Heat Capacity(Cp) in KJ/(kg K) |
250 | 0.791 |
300 | 0.846 |
350 | 0.895 |
400 | 0.939 |
450 | 0.973 |
500 | 1.014 |
550 | 1.046 |
600 | 1.075 |
650 | 1.102 |
700 | 1.126 |
750 | 1.148 |
800 | 1.169 |
900 | 1.204 |
1000 | 1.234 |
1500 | 1.328 |
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