A long iron rod (r = 7870 kg/m3, cp = 447 J/kg·K,k = 80.2 W/m·K, and a = 23.1 * 10–6 m2/s) with diameter of25 mm is initially heated to a uniform temperature of 700°C.The iron rod is then quenched in a large water bath that is maintained at constant temperature of 50°C and convection heat transfer coefficient of 128 W/m2·K. Determine the time required for the iron rod surface temperature to cool to 200°C. Solve this problem using analytical one-term approximation method (not the Heisler charts).

Q: hat is the rate of heat flow through a pane of glass that is 25.0 cm by 100.0 cm with a thickness of…

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Q: A glass window is 3.7 mm thick, is 2.29 m tall by 1.04 m wide, and has a thermal conductivity of 1.0…

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Q: A 7 kg of glass bowl (c = 840 J/kg·K) contains 16 kg of water (c =4186 J/kg·K) at 25°C. 2.5 kg of…

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Q: The world's most active volcanoes, such as the Kilauea volcano in Hawaii, can disgorge about 5 ✕ 105…

A: Given: The volume of the lava is 5×105 m3. The initial temperature of the lava is 1025 °C. The final…

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Q: A pipe with a 1.5 cm in diameter and 10 min length is gaining 800 W/m2 constant heat from its outer…

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Q: A 900 g copper rod at 20oC has a length of 1.0000 m. The thermal expansion coefficient of copper is…

A: A  copper rod at  has a length of . The thermal expansion coefficient of copper is , and its…

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Q: Steam in a heating system flows through tubes whose outer diameter is 3 cm and whose walls are…

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Q: Carbon steel balls (r = 7833 kg/m3, k = 54 W/m·K, cp = 0.465 kJ/kg·°C, and a = 1.474 * 1026 m2/s) 8…

A: Calculate the characteristic length of the balls.

Q: A 0,244 m thick furnace wall is made of material with a thermal conductivity of 1.30 W / m.K. In…

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Q: Steel rods (r = 7832 kg/m3, cp = 434 J/kg·K, and k = 63.9 W/m·K) are heated in a furnace to 850°C…

A: It is given that,

Q: A cylindrical metal rod with a thermal conductivity of 449.1 W / (m K) has one end at 64.6°C and the…

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Q: Metal plates (k = 180 W/m·K, r = 2800 kg/m3, and cp = 880 J/kg?K) with a thickness of 1 cm are being…

A: The Biot number for the plates,

Q: A 900 g copper rod at 20oC has a length of 1.0000 m. The thermal expansion coefficient of copper is…

A: A  copper rod at  has a length of . The thermal expansion coefficient of copper is , and its…

Q: A 50 mm × 45 mm × 20 mm cell phone charger has a surface temperature of Ts = 33°C when plugged into…

A: Given that: Surface area of the charger  Surface temperature of the charger  Emissivity of the…

Q: While swimming, conduction can play a big role in heat loss from the body. The body of one swimmer…

A: Given data: Thickness thickness (b) = 1.6 mm Thermal conductivity of the skin (k)=0.37 W/m.K Water…

Q: The 10 m long pipe has an inner radius of 70 mm, an outer radius of 80 mm, and is made of stainless…

A: Given: The length of the pipe is L=10 m. The inner radius is R=70 mm. The outer radius is R'=80 mm.…

Q: To defog the rear window of an automobile, a very thin transparent heating element is attached to…

A: Given data The uniform heat flux is: Q = 1300 W/m2 The thickness of the rear window is: t = 5 mm =…

Q: A 2 m2 window has a surface temperature of 15°C and the outside wind is blowing air at 2°C across it…

A: Q = h A ΔT = 125 W/m2K × 2 m2 × (15 – 2) K = 3250 W

Q: An aluminum bar has a cross-section that is 5.1 cm by 6.93 cm and is 1.91 m long. Aluminum has a…

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Q: Large steel plates 1.0-cm in thickness are quenched from 600°C to 100°C by submerging them in an oil…

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Q: A liquid food (density = 1,010 kg/m3, k =.5W/m°C, Cp = 3,000J/kg°C) is being heatedfrom an initial…

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Q: A 5-mm-thick stainless steel strip (k = 21 W/m·K, r = 8000 kg/m3, and cp = 570 J/kg·K) is being heat…

A: Given Data:   The thickness of the plate is, L=5 mm=0.005 m The thermal conductivity is, k=21 W/m-K…

Q: An aluminum bar has a cross-section that is 5.07 cm by 6.38 cm and is 1.53 m long. Aluminum has a…

A: Given, crossection of the aluminium bar, 5.07 cm ×6.38 cmlength of the aluminium bar, L = 1.53…

Q: An aluminum bar has a cross-section that is 4.37 cm by 6.87 cm and is 2.3 m long. Aluminum has a…

A: Because of temperature drop across the aluminum bar, heat transfer shall occur through aluminum bar.…

Q: The concrete slab of a basement is 11m long, 8 m wide and 0.2 m thick. During the winter,…

A: The length of the basement = 11 mwidth =8 mThickness = 0.2 mThe area of the basement Thermal…

Q: An aluminum bar has a cross-section that is 4.31 cm by 7.32 cm and is 2.38 m long. Aluminum has a…

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Q: A solid concrete wall has dimensions 4.0 m × 2.4 m and is 30 cm thick. The thermal conductivity of…

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Q: A copper bar of thermal conductivity 401 W/(m·K) has one end at 114°C and the other end at 24.0°C.…

A: given,T1=114°CT2=24°CA1=A2=1×10-6 m2k2=k1=401 wmk

Q: A thermal window, with an area of 6.0m ^ 2, is constructed of two layers of glass, each 4.0mm thick,…

A: Given, Area of window, A=6 m2 Th. conductivity of window glass & air, k1=0.8 W/m.C∘ &…

Q: A short brass cylinder (r = 8530 kg/m3, cp =0.389 kJ/kg·K, k = 110 W/m·K, and a 5 *.39 3 1025 m2/s)…

A: Given terms:

Q: The world's most active volcanoes, such as the Kilauea volcano in Hawaii, can disgorge about 5 ✕ 105…

A: The volume of the lava, V is 5×105 m3. The change in the temperature, ∆T is 1025 °C-32 °C=993 °C.…