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- 1.63 Liquid oxygen (LOX) for the space shuttle is stored at 90 K prior to launch in a spherical container 4 m in diameter. To reduce the loss of oxygen, the sphere is insulated with superinsulation developed at the U.S. National Institute of Standards and Technology's Cryogenic Division; the superinsulation has an effective thermal conductivity of 0.00012 W/m K. If the outside temperature is on the average and the LOX has a heat of vaporization of 213 J/g, calculate the thickness of insulation required to keep the LOX evaporation rate below 200 g/h.Question 5: A copper bar 35 cm long, with square cross-section 2 cm x 2 cm is fitted with a resistive heater at one end, and a large heat sink at the other. The bar itself is ideally thermally lagged. (i) (ii) Sketch how you think the two thermometers would behave when the heater is switched on; (ii) Calculate the thermal conductivity if in the steady-state, T1=64.7 deg C and T2=40.0 deg C. Hint: rate of flow of heat = k*A*AT/X V=6 V, I=2.5A heater T1 25 cm T2 Heat sink4. The section of a vertical wall is made up of fiberglass insulation slabs separated by wooden studs. The thermal conductivity of fiberglass and wood are 0.04 W/m-K and 0.18 W/m-K, respectively. The thickness of the wall is 160 mm. The temperatures of the inner and outer surfaces of the wall section are 22 °C and 4 °C, respectively. The ratio of the insulation area to the total wall area is 0.8. Calculate the total heat flow rate (in W/m2) through the wall per unit area. Wooden Stud Fiberglass Insulation Follow-up question to Question 4, calculate the rate of heat flow (in W/m2) through unit area of studs.
- A wall with an area of 10 m2 is made of a 2cm thickness of white pine (k=0.113 W/m-deg C) followed by 10 cm of brick (k=0.649 W/m-deg C). The pine is on the inside where the temperature is 30 deg C while the outside temperature is 10 deg C. Assuming equilibrium conditions exist, what is the temperature at the interface between the two metals? Select the correct response: 15.65 deg C 19.31 deg C 17.64 deg C 18.21 deg Cquantity. Example 1/ The roof of an electrically heated home is 6 m long, 8 m wide, and 0.25 m thick, and is made of a flat layer of concrete whose thermal conductivity is k 0.8 W/m.°C (Figure. 1-3). The temperatures of the inner and the outer surfaces of the roof one night are measured to be 15°C and 4°C, respectively, for a period of 10 hours. Determine the rate of heat loss through the roof at night. Concrete roof - 0.25 m 8 m 6 m 4°C 15°C Figure 1-3 Schematic for Example 1Exercise 2.3:Assume that the thermal conductivity of copper is four times that of brass. Two metalrods made of copper and brass are each 20 cm long and 2.0 cm in diameter. The rods are placed end to end. The free end of the copper rod is maintained at 1000C and the free end of the brass rod is maintained at 00C. (i) What is the equilibrium temperature at the copper-brass junction? |(ii)If the thermal conductivity of copper is 390 J/m0C, at what rate, in watts, does heat flow through the rods
- plz answer this ASAP,thx One surface of a copper plate that is 3 cm thick has a constant temperature of 400 ° C while the temperature of the other surface is kept constant at 100 ° C. Describe the temperature profile and how much heat is transferred across the plate ?, k copper = 380 watts/m.k with a cross -sectional area of 4 cm².A copper rod has an initial length 5.0 cm and a thermal expansion coefficient of 16 x 106 /K. It is heated from room temperature (22 °C) to a final temperature T, and its final length is 5.0064 cm. What is the final temperature in °C? In your answer, use the relation (L final – Linitial)/Linitial a(Tfinal – Tinitial) where Linitial is the initial length, L final is the final length, Tinitial is the initial temperature, Tfinal is the final temperature, and a is the thermal expansion coefficient. (This question has only one correct answer) a. 133 b. 102 c. 107 d. 1418. The temperatures on the inner and outer sides of a furnace wall are 650°C and 250° C respectively. It is exposed to ambient air at 50°C. To reduce the heat loss from the furnace, its wall thickness is increased to double. Determine the %age decrease in heat loss due to change in wall thickness assuming no change in surface and ambient temperatures.
- A metal rod 30 cm long expands by 0.075 cm when its temperature is raised from 0°C to 100°C. A rod of different metal and of same length expands by 0.045 cm for the same rise in temperature. A third rod also 30 cm long, is made up of pieces of each of the above metals placed end to end and expands 0.065 cm between 0°C and 100°C. Find the length of each portion of the composite bar.For a 3-cm thick slab that can be taken to be infinite in the x- and y-directions, the steady temperatures at z = 0 and == 3 cm are 97°C and 27°C, respectively. a) Compute the heat flux vector through the slab for k= 2.1 W/(m K). b) Compute the heat flux vector through the slab for k= [2.1 +0.05(T-300 K)/K] W/(m K). c) Compute the heat flux vector through the slab for k = [2.1 +0.05(T-62°C)/K] W/(m K).A copper bar (2.00 cm by 2.00 cm and 10.0 cm long) is welded end to end to a brass bar of the same dimensions. The free end of the copper bar is placed in a steam bath and the free end of the brass bar is placed in an ice bath. If the system is at steady state condition and that both bars are properly insulated. (Given the thermal conductivity of copper is 390 W m-1 °C-1 and he thermal conductivity for brass is 110 W 1°C1) a.) What is the temperature T at the interface of the copper-brass bar? b.) How much thermal energy flows through the bar per minute?