Exposure to high concentrations of gaseous ammonia can cause lung damage. To prevent gaseous ammonia from leaking out, ammonia is transported in its liquid state through a pipe (k = 15 W/m ∙ K, D_i,_pipe = 5 cm, D_o,_pipe = 6 cm, and L = 10 m). The liquid ammonia enters the pipe at 230°C with a flow rate of 0.15 kg/s. Determine the insulation thickness for the pipe using a material with k = 0.95 W/m ∙ K to keep the liquid ammonia’s exit temperature at 220°C, while maintaining the insulated pipe outer surface temperature at 20°C.