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.