A liquid food (density = 1,010 kg/m³, k = 0.5 W/m°C, Cp = 3,000 J/kg°C) is being heated from an initial temperature of 12°C to a final center temperature. The heating occurs in a cylindrical container (D = 0.07 m, L = 0.10 m) and the heating conditions are: heating temperature of 121°C and convective heat transfer coefficient of 1 W/m²°C.
a) Calculate the final product temperature at the center after heating for 30 minutes (1800 s).
b) Is the heating time sufficient to reach the target center temperature of 65°C?