1. For high temperature air, enthalpy h is a nonlinear function of temperature: h ( T) = b1 + R a1 T + azloge (T) + a3T ) Here, R = 287 J/ (kg.K), b1 = 200 x 103 J/kg, a1 - 2.21 x 104, a2 = -3.82 x 102 and a3 = 6.08. You are analyzing a combustor, and from the Ist Law of Thermodynamics you determine that after heat addition, the enthalpy of the air within it is h = 1.2 MJ/kg. You now need to determine the temperature. Rearrange the equation above into a root finding problem (e.g. f(T) = 0) and verify that the interval 800K