Heat Transfer Question:

Heat Transfer Question: A brass rod, 1 cm in diameter and 15 cm long, with a tip subject to a breeze with a convection coefficient of 68 W/m^2*K in a room where the ambient air temperature is 23 degree C. The base is 79 degree C and the tip is designed to maintain a constant temperature of 29 degree C. The manufacturer finds that the thermal conductivity, in units of W/m*K, to be k(T) = 43*ln(T) - 128, where T is in units of Kelvin. Plot the temperature profile for the entire length of the rod.