Show that the steady-state rate of heat conduction through the wall of a hollow cylinder of inner radius, ri, outer radius, ro, and length, l, is given by the following expression: 2nkl 9 = in (r./r; ) (t; -t.) where k is the thermal conductivity of the sphere wall, and tiand to are temperatures of the inside and outside walls, respectively. [5 marks] (b) a pipe has an outside diameter of 25 cm, a wall thickness of 1.25 cm and a length of 10 m. its outside surface is maintained at a temperature of 100°c and exposed to a convection environment with h = 140 w/m2.k and to = 20°c. the thermal conductivity of the pipe material is 36 w/m. k. determine the rate of heat loss from the pipe, and the temperature of the inside wall. [8 marks] c) if the pipe is insulated with a 5 mm layer of fiberglass insulation (k = 0.025 w/m. k), calculate the outside temperature of the insulation. what reduction in heat loss results from installing the insulation?

(04.05 hc) analyze the given diagram of the carbon cycle below. an image of carbon cycle is shown. the sun, a cloud, two trees, one on the left and the other on the right, an animal, lake, and a factory are shown in the image. an arrow is shown from the sun towards the left tree marked a. the sun is marked b. there is an arrow from the air above the clouds, marked c, towards the left tree. an arrow from a location close to the ground marked d points towards dead organisms, which is a label under the animal. an arrow marked e points from the right tree straight up to the clouds. an arrow marked f points from the animal straight up to the clouds. an arrow marked g points from the factory towards the air above the clouds, c. there is an arrow pointing from the air to the lake labeled carbonates in water, an arrow pointing down from dead organisms to fossils and fossil fuels, and an arrow from fossils to the factory. part 1: which compound does c represent? part 2: name a process that could release this compound into the air. part 3: explain how the elements that form it are conserved during the carbon cycle. use complete sentences to explain your answer.