In the manufacture of can ice, cans having inside dimensions of 27.5 × 55 × 125 cm with 2.5 cm inside taper are filled with water and immersed in brine at a temperature of –12ºC. For the purpose of a preliminary analysis, the actual ice can be considered as an equivalent cylinder having the same cross-sectional area as the can, and end effects can be neglected. The overall conductance between the brine and the inner surface of the can is 225 W/m²K. Determine the time required to freeze the water, and compare it with the time necessary if the brine circulation rate is increased to reduce the thermal resistance of the surface to one-tenth of the value specified above. The latent heat of fusion of ice is 334 kJ/kg, its density is 912.5 kg/m³, and its thermal conductivity is 2.2 W/m K.