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

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The figure shows the cross section of a wall made of three layers. The thicknesses of the layers are L1, L2 =0.650 L1, and L3 = 0.350 L1. The thermal conductivities are k1, k2 = 0.900 k1, and kg = 0.600 k1. The temperatures at the left and right sides of the wall are TH = 30 °C and Tc= -20 °C, respectively. Thermal conduction is steady. (a) What is the temperature difference AT2 across layer 2 (between the left and right sides of the layer)? If k2 were, instead, equal to 1.180 kg, (b) would the rate at which energy is conducted through the wall be greater than, less than, or the same as previously, and (c) what would be the value of AT2? k1 ko k3 TH TC L1 L2 L3 (a) AT2 = i (b) (c) AT2 = i
You drop an ice cube into an insulated container full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 60.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 850 g and an initial temperature of 30.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the container, or to the environment.)
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.
A 0.0725 kg ice cube at −30.0°C is placed in 0.557 kg of 35.0°C water in a very well insulated container. What is the final temperature? The latent heat of fusion of water is 79.8 kcal/kg, the specific heat of ice is 0.50 kcal/(kg · °C), and the specific heat of water is 1.00 kcal/(kg · °C).
A 2-meter-long steel rod has a diameter equal to 2.54 cm. By how much does the rod’s length change in meters if it’s heated from 318 degrees Kelvin to 460 degrees Kelvin? _________ m . You should get a really small answer, feel free to use exponential notation to express it.
In a physics lab, students are conducting an experiment to learn about the heat capacity of different materials. The first group is instructed to add a number of 1.50 g pellets made of lead, at a temperature of 92.0°C, to 305 g of water at 16.0°C. A second group is given the same number of 1.50 g pellets as the first group, but these are now aluminum pellets. Assume that no heat is lost to or gained from the surroundings for either group. (a) If the final equilibrium temperature of the lead pellets and water is 25.0°C, how many whole pellets did the first group use in the experiment? The specific heat of lead is 0.0305 kcal/(kg · °C). pellets (b) Will the final equilibrium temperature for the second group be higher, lower, or the same as for the first group? The specific heat of aluminum is 0.215 kcal/(kg · °C). O higher O lower O the same (c) What is the equilibrium temperature of the aluminum and water mixture for the second group? °C
0.0035 mol of gas undergoes the process shown in . (B) What is the initial temperature? (C) What is the final temperature?
The amount of heat per second conducted from the blood capillaries beneath the skin to the surface is 210 J/s. The energy is transferred a distance of 1.7 x 10-3 m through a body whose surface area is 1.6 m². Assuming that the thermal conductivity is that of body fat, determine the temperature difference between the capillaries and the surface of the skin. Number i Units
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
Water is placed into an iron container along with an ice cube. They are thermally isolated.The iron container has a mass of 790. g and is initially at 72.0 degrees Celsius. The water has a mass of 220. g and is initially at 17.0 degrees Celsius. The ice cube has a mass of 80.0 g and is initially at -15.0 degrees Celsius.What is the heat required to raise the temperature of the ice to 0 degrees Celsius?

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