An expression for the value of cp for carbon dioxide as a

Chapter 11, Problem 11.13

(choose chapter or problem)

An expression for the value of \(c_p\) for carbon dioxide as a function of temperature is

               \(c_{p}=286-\frac{1.15 \times 10^{5}}{T}+\frac{2.49 \times 10^{6}}{T^{2}}\)

where \(c_p\) is in \(\mathrm{(ft \cdot lb)/(lbm \cdot ~^\circ R)}\) and T is in \(\mathrm{^\circ R}\). Compare the change in enthalpy of carbon dioxide using the constant value of \(c_p\) (see Table 1.7) with the change in enthalpy of carbon dioxide using the expression above, for \(T_2 - T_1\) equal to (a) \(\mathrm{10~^\circ R}\), (b) \(\mathrm{1000~^\circ R}\), (c) \(\mathrm{3000~^\circ R}\). Set \(T_1= \mathrm{540~^\circ R}\).