Question 4.1: The parameters listed in Table C.1 of Appendix C require use...
The parameters listed in Table C.1 of Appendix C require use of Kelvin temperatures in Eq. (4.5).
\frac{C^{ig}_{P} }{R}=A + BT + CT^{2} + CT^{-2} (4.5)
Equations of the same form may also be developed for use with temperatures in °C, but the parameter values are different. The molar heat capacity of methane in the ideal-gas state is given as a function of temperature inkelvins by:
\frac{C^{ig}_{P} }{R}=1.702 + 9.081 \times 10^{-3} T − 2.164 \times 10^{-6} T^{2}
where the parameter values are from Table C.1. Develop an equation for C^{ig}_{P}/R for use with temperatures in °C.
The relation between the two temperature scales is: T K = tº C + 273.15 .
Therefore, as a function of t,
\frac{C^{ig}_{P} }{R}=1.702 + 9.081 \times 10^{-3} (t + 273.15) − 2.164 \times 10^{-6} (t + 273.15)^{2}
or \frac{C^{ig}_{P} }{R}=4.021 + 7.899 \times 10^{-3} t − 2.164 \times 10^{-6}t^{2}