Ice slurry is being transported in a pipe (k = 15 W/m ∙ K, D_i = 2.5 cm, D_o = 3 cm, and L= 5 m) with an inner surface temperature of 0°C. The ambient condition surrounding the pipe has a temperature of 20°C, a convection heat transfer coefficient of 10 W/m² ∙ K, and a dew point of 10°C. If the outer surface temperature of the pipe drops below the dew point, condensation can occur on the surface. Since this pipe is located in a vicinity of high voltage devices, water droplets from the condensation can cause electrical hazard. To prevent such incident, the pipe surface needs to be insulated. Determine the insulation thickness for the pipe using a material with k = 0.95 W/m ∙ K to prevent the outer surface temperature from dropping below the dew point.