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

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