John was told that for his first design project, he was to examine the uniform water flow (68 degree fareneheit) through a 6ft wide rectangular channel (n=0.015). the total distance of the open channel is expected to be 5000 ft with an elevation drop of 15 ft. for the gtiven perameters what would be the following characteristics of the open channel if the water depth is 2.5 ft, find channel slope, and hydraulic radius?

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.