Design a riprap-lined trapezoidal channel that has a capacity of 1000 cfs and slope of 0.0005 ft/ft. Crushed rock is to be used and the channel bottom with is not to exceed 15 ft. Determine the riprap size, the side slopes, and the design depth of flow.

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.