Two cylindrical rods have the same mass. One is made of silver (density = 10 500 kg/m³), and one is made of iron (density = 7860kg/m³). Both rods conduct the same amount of heat per second when the same temperature difference is maintained across their ends.What is the ratio (silver-to-iron) of (a) the lengths and (b) the radii of these rods? Give your answers as numbers with no units.(a) Number i(b) NumberUnitsUnits

Fourier's Law and Heat Conduction in a CylinderFourier's Law describes heat conduction within a…

Answered: Two cylindrical rods have the same…

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter11: Energy In Thermal Processes

Section: Chapter Questions

Problem 54AP: The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is...

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Beryllium has roughly one-half the specific heat of water (H2O). Rank the quantities of energy input required to produce the following changes from the largest to the smallest. In your ranking, note any cases of equality, (a) raising the temperature of 1 kg of H2O from 20C to 26C (b) raising the temperature of 2 kg of H2O from 20C to 23C (c) raising the temperature of 2 kg of H2O from 1C to 4C (d) raising the temperature of 2 kg of beryllium from 1C to 2C (e) raising the temperature of 2 kg of H2O from -1C to 2C
The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is located in a dark room with a temperature of 20.0C, and the emissivity of the skin is e = 0.95. (a) At what rate is energy radiated by the body? (b) What is the significance of the sign of your answer?
A 900 g copper rod at 20 degrees celcius has a length of 1.0000 m. The thermal expansion coefficient of copper is 17 x 10^-6 degrees celcius -1. The specific heat capacity is 0.385 kJ/kg degrees celcius. Question A: The copper is heated to 400 degrees celcius. What is the new length? Give the answer in meters and with 4 digits of precision after the decimal. Question B: The hot copper is then quenched by dunking the entire rod in a bucket with 10 kg of water at 20 degrees celcius. The specific heat capaciy of water is 4.18 kJ/kg degrees celcius. If none of the water turns to steam what is the equilibrium temp of the copper rod and water? Please give the answer in degrees celcius Question C: You measure the equilbrium temp and find that it is 24 degrees celcius. If the latent heat of vaporization of water is 2,260 kJ/kg, what mass of water turned to steam? Answer in grams
What is the rate of heat transfer in J/s through the body's skin and the fat layer just beneath its surface? Treat the skin and fat as a single layer that is 1.20 cm thick. Assume the temperature of the inner surface of the layer corresponds to internal body temperature, or 36.7 °C, and the temperature of the outer surface of the layer corresponds to skin temperature, or 34.0 °C. Take the total surface area of the layer to be 1.50 m² and use a value of 0.413 W/(m-C°) for the average thermal conductivity of the layer. Number Units
Approximately how long should it take 8.8 kg of ice at 0°C to melt when it is placed in a carefully sealed Styrofoam ice chest of dimensions 25 cm x 35 cm x 55 cm whose walls are 1.4 cm thick? Assume that the conductivity of Styrofoam is double that of air and that the outside temperature is 34 °C. Express your answer to two significant figures and include the appropriate units. t = μА Value Units ?
A 158 cm long aluminum rod (thermal conductivity = 205 W/m-K) has a cross-section area of 1 cm2. If one end is kept in a steam bath and the other end in an ice-water mixture, what is the quantity of heat (in Joules) conducted by the rod in 4 days? Input only the numerical value of the answer.
Luis and Salman are trying to increase the temperature of a substance by heating it. . What is the quantity of heat in kilojoules required to raise the temperature of 1.2 kg of the substance from3°C to 110 °C at a pressure of 1.0 atm? Please keep three significant figures. Useful information: Melting point = 293 K heat of fusion = 3.90 x 104 J/kg. boiling point is 423 K heat of vaporization 7.80 x 104 J/kg (at a pressure of 1.0 atm). The specific heats for the solid phase is 600 J/(kg K) The specific heats for the liquid phase is 1000 J/(kg K) The specific heats for the gaseous phase is 400 J/(kg K)
A closed box is filled with dry ice at a temperature of -86.0 °C, while the outside temperature is 21.0 °C. The box is cubical, measuring 0.394 m on a side, and the thickness of the walls is 4.49 × 102 m. In one day, 3.76 × 106 J of heat is conducted through the six walls. Find the thermal conductivity of the material from which the box is made. Number Units
A pot of water is boiling under one atmosphere of pressure. Assume that heat enters the pot only through its bottom, which is copper and rests on a heating element. In two minutes, the mass of water boiled away is m = 2.5 kg. The radius of the pot bottom is R = 8.0 cm and the thickness is L = 1.0 mm. What is the temperature of the heating element in contact with the pot? TE = Number i Units
You take an aluminum cylinder with a mass m = (315± 2) g out of a furnace at temperature T = (250 ± 5)C °and place it in a large bath of cool water. The final 1 temperature of the cylinder and water is T2 = (29 ±1) C° . How much heat flows from the cylinder to the water, and what are the absolute and relative errors in the heat transfer out of the cylinder? The heat transfer is given by Q = mc T ∆where ∆T is the change in temperature and c = (0.215± 0.005)cal/g C is ⋅t°he specific heat of aluminum.
Two cylindrical steel rods A and B have radii of 0.02 m and 0.04 m, respectively. The two steel rods conduct the same amount of heat per unit time for the same temperature differences between their two ends. What is the ratio of the lengths of the rods, LA/LB? answer is 0.25
Problem 2: A metal bar in a low temperature physics experiment with mass m = 59 kg had its temperature raised from T1 = 29 K to T2 = 48 K. The metal bar has a specific heat that is a function of temperature: c(T) = A + αT,where A = 350 J/(kg⋅K) and α = 8.2 J/(kg⋅K2). Note the metal bar does not change in volume as it is heated. Part (a) Calculate the amount of heat Q in joules required to raise the temperature on the metal bar as stated. Part (b) Calculate heat released by the metal bar when cooling from T2 to T1 without any change in volume. Part (c) Write an approximation of the c(T) for the metal rod for very high temperatures (say T >> 1000 K).

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