Silver Steam Ice chamber water Copper
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Two metal rods, one silver and the other copper, are both attached to a steam chamber as shown in the figure, with a temperature of 100°C, at one end, and an ice water bath, with a temperature of 0°C, at the other. The rods are 19.0 cm long and have a square cross-section, 2.0 cm on a side. When steady state has been reached, how much heat flows through the two rods in 1.0 min? The thermal conductivity of silver is 417 W/(m ∙ K), and that of copper is 395 W/(m ∙ K). No heat is exchanged between the rods and the surroundings, except at their ends.
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- A hollow cylinder has length L, inner radius R, and thickness d, and the temperatures at the inner and outer surfaces are Tn and Ti, respectively. The thermal conductivity of the material of which the cylinder is made is k. Derive an equation for the rate of heat transfer P through the walls of the cylinder. Simplify this equation assuming that the thickness of the cylinder d is much smaller than the its inner radius R.Two metal rods, one silver and the other copper, are both attached to a steam chamber as shown in the figure, with a temperature of 100°C, at one end, and an ice water bath, with a temperature of 0°C, at the other. The rods are 5.0 cm long and have a square cross-section, 2.0 cm on a side. When steady state has been reached, how much heat flows through the two rods in 1.0 min? The thermal conductivity of silver is 417 W/(m · K), and that of copper is 395 W/(mK). No heat is exchanged between the rods and the surroundings, except at their ends. Steam chamber A) 20 kJ B) 39 kJ C) 47 kJ D) 49 kJ E) 11 kJ Silver Copper Ice waterAn engineer is investigating energy loss through windows. The windowpane of interest is 0.450 cm thick, has dimensions of 0.82 m x 1.95 m, and has a thermal conductivity of 0.8 W/(m °C). On a given cold day, the outside temperature is 0°C and the temperature of the interior surface of the glass is 26.0°C. (a) Determine the rate (in W) at which heat energy is transferred through the window. W (b) Determine the amount of energy (in J) transferred through the window in one day, assuming the temperature on the surfaces remains constant.
- 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)Consider a 3-m-high, 6-m-wide, and 0.3-m-thick brick wall whose thermal conductivity is k = 0.8 W/m K. On a certain day, the temperatures of the inner and the outer surfaces of the wall are measured to be 14°C and 2°C, respectively. Determine the rate of heat loss through the wall on that day.A large cylindrical coffee pot in a coffee shop filled with 10.0 kg of hot coffee at temperature T = 95.0 ° C rests on a wooden table. The steel pot has radius r = 8.00 cm and height h = 50.0 cm and an emissivity e = 0.600. See figure. Assume that all heat loss is radiative through the side and top of the pot, given that wood is a relatively poor thermal conductor. The coffee shop ambient temperature T = 20.0 ° C. a) Find the rate at which the coffee losses heat. b) Assuming constant heat loss rate, what is the coffee temperature after 10.0 minutes have elapsed? Cw = 4.19 x 103 J/kg °C, ρw = 1.00 x 103 kg/m3, σ = 5.67 x 10 -8 W/m2 K4
- Two bars are placed between plates whose tempera- tures are Thot and Testa (see the drawing). The thermal conductivity of bar 1 is six times that of bar 2 (k, = 6kg). but bar I has only one-third the cross-sectional area (A,A). Ignore any heat loss through the sides of the bars. What can you conclude about the amounts of heat Q, and Q₂, respectively, that bar 1 and bar 2 conduct in a given amount of time? (a) Q₁ = 0; (b) Q₁ Q₂ (c) Q₁ = 20; (d) Q₁ = 40₂ (e) Q₁ = Q: That Bar 1 Bar 2 5- If an object is not in thermal equilibrium with surroundings (they have different temperatures). a) the net heat and net power emitted by the object is zero. b) the net heat emitted by the object is zero but the net power emitted is not zero. c) the net power emitted by the object is zero but the net heat emitted is not zero. d) the net heat and net power emitted by the object is not zero.Two pots are identical except that the flat bottom of one is aluminum, whereas that of the other is copper. Water in these pots is boiling away at 100.0 °C at the same rate. The temperature of the heating element on which the aluminum bottom is sitting is 150 °C. Assume that heat enters the water only through the bottoms of the pots and find the temperature of the heating element on which the copper bottom rests. Tcu i = <Objects A and B in the figure are made from copper, but the mass of object B is three times that of object A. Object C is made from glass and has the same mass as object B. The same amount of heat Q is supplied to each one: Q = 13.4 J. Determine the rise in temperature of (a) block A, (b) block B, and (c) block C. Assume specific heat capacities c = 387 J/(kg-C°) for copper and c₂ = 840 J/(kg-Co) for glass. Copper B Glass C A mA =1.60g mB 4.80g mc4.80g
- The drawing shows a solid cylindrical rod made from a center cylinder of lead and an outer concentric jacket of copper. Except for its ends, the rod is insulated (not shown), so that the loss of heat from the curved surface is negligible. When a temperature difference is maintained between its ends, this rod conducts 1/9 the amount of heat that it would conduct if it were solid copper. Determine the ratio of the radii r₁/r₂. Number i Units Copper LeadA glass windowpane in a home is 0.62 cm thick and has dimensions of 1.4 m x 2.3m. On a certain day, the indoor temperature is 21°C and the outdoor temperature is 0ºC. (a) What is the rate at which energy is transferred by heat through the glass? (b) How much energy is lost through the window in one day, assuming the temperatures inside and outside remain constant? Need Help? Readi Submit AnswerQuestion 3. (a) Double-pane glass window is an example of using multi-layers of thermally conducting material. Derive an expression for the heat flow P per unit area at steady state through three sheets of material, two of which are of the same material (conductivity k1, thickness L₁). The third sheet (with conductivity k2, thickness L₂) is sandwiched between the other two, in terms of the termperatures T₁ and T4 on the outer surfaces. (b) Determine the current in each resistor and the voltage difference between points X and Y in the circuit. 12 13 V Y 3 Ω, 6 V 13 8 V (+ h 10 Ω X