Thermal circuits 1. A 3-m internal diameter spherical tank made of 2-cm-thick stainless steel (k = 15 W/m-C) is used to store iced water at T-1 = 0 C. The tank is located in a room whose temperature is T2 = 22 C. The walls of the room are also at 22C. The outer surface of the tank is black and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The radiation heat transfer coefficient is given by hrad = 5.34 W/m-C and the convection heat transfer coefficients at the inner and outer surfaces of the tank are h = 80 W/m-C and h= 10 W/m-C, respectively. Determine (a) the rate of heat transfer to the iced water in the tank (b) the amount of ice at 0 C that melts during a 24-h period. The latent heat of melting ice is = 334 J/g