A wall made of stainless steel divides a room in a food factory in half. This wall is 100 mm thick and has an area of 70.59 m². On one side of the room, the temperature is maintained at 100 °C, whilst the other side is maintained at 75 °C. Assuming that the conditions are steady-state, if heat moves across this wall at 300 kW, what is the thermal conductivity of the stainless steel wall? W/(m. K)
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- A glass window pane, 196 cm high, 58 cm wide and 0.4 cm thick, has thermal resistance of 6.41x10-3 m2 °C w-1. Calculate the rate of heat transfer through the window if the temperature of outer and inner surfaces is 26.3 °C and 21.3 °C, respectively. Select one: 3293 W 911 W 887 W O 5325 WAn aluminum bar has a cross-section that is 5.07 cm by 6.38 cm and is 1.53 m long. Aluminum has a thermal conductivity of 205 W/m K. If the aluminum bar is used to bridge between ice at 0 °C and boiling water at 100 °C, what is the rate of heat transfer (in W) along the bar?Bob has a spherical tank with a 1 m internal diameter made of 6 cm thick stainless steel sitting in his garden workshop, which is used to hold clean water for the pond. The thermal conductivity coefficient and emissivity of the stainless steel are k = 20 W m-1° C-1 and ɛ = 1.0, respectively. Derive the following equation for the steady-state rate of heat transfer via conduction across a hollow spherical vessel where r; and r. are the inner and outer radius of the sphere, respectively, and k is the conductivity coefficient of the steel. 4tkr¡ro Qcond (TH – TL) (ro – ri)
- Ice of mass 12.8 kg at 0°C is placed in an ice chest. The ice chest has 2.7 cm thick walls of thermal conductivity 0.07 W/m·K and a surface area of 1.29 m2. Express your answers with appropriate mks units. (a) How much heat must be absorbed by the ice during the melting process? (b) If the outer surface of the ice chest is at 39° C, how long will it take for the ice to melt?An aluminum cup with mass 0.34 kg holds 0.36 kg of water. Both the cup and the water have a temperature of 12.°C. If a 0.13-kg piece of copper at 62.°C is added to the cup, what is the final equilibrium temperature in °C? You may assume that the cup, water, and copper are well insulated from anything else.A plane wall has a thickness of 55 cm and is made of a material with a thermal conductivity of 45 W/m K. The inside and outside surfaces of the wall are maintained at 40°C and 80°C, respectively. What is the temperature inside the wall at a distance of 19 cm measured from the inside surface of the wall? Express your answer in °C.
- Monochromatic light (λ = 500 nm) is incident on a soap bubble (n = 1.40). What is the wavelength of the light (in nm) in the bubble film? Select one: O a. 255 O b. 700 O c. 357 O d. 422 O e. 500The thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m · K and 0.020 W/m · K respectively, while other tissues inside the body have conductivities of about 0.50 W/m · K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. Rskin m2 · K/W Rfat m2 · K/W Rtissue m2 · K/W R m2 · K/W (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2. WThe thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m · K and 0.020 W/m · K respectively, while other tissues inside the body have conductivities of about 0.50 W/m · K. Assume that between the core region of the body and the skin surface lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. Rskin m2 · K/W Rfat m2 · K/W Rtissue m2 · K/W R m2 · K/W (b) Find the rate of energy loss when the core temperature is 37°C and the exterior temperature is 0°C. Assume that both a protective layer of clothing and an insulating layer of unmoving air are absent, and a body area of 2.0 m2. W
- A closed box is filled with dry ice at a temperature of -81.3 oC, while the outside temperature is 21.5 oC. The box is cubical, measuring 0.392 m on a side, and the thickness of the walls is 4.40 × 10-2 m. In one day, 3.93 × 106 J of heat is conducted through the six walls. Find the thermal conductivity of the material from which the box is made.Suppose a house's walls are 13.5 cm thick and and have an average thermal conductivity twice that of glass wool. Given: Thermal Conductivity of glass wool= 0.042k Calculate the rate of heat conduction, in watts, through the house's walls. Assume there are no windows or doors. The surface area of the walls is 120 m2 and their inside surface is at 16°C, while their outside surface is at 5.15°C .