A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.15 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?

A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.15 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 11OQ

See similar textbooks

Similar questions

A copper rod and an aluminum rod of equal diameter are joined end to end in good thermal contact. The temperature of the free end of the copper rod is held constant at 100°C, and that of the far end of the aluminum rod is held at 0°C. If the copper rod is 0.50 m long, what must be the length of the aluminum rod so that the temperature at the junction is 50°C?
A copper bar is welded end to end to a bar of an unknown metal. The two bars have the same lengths and cross-sectional areas. The free end of the copper bar is maintained at a temperature TH that can be varied. The free end of the unknown metal is kept at 0.0∘C. To measure the thermal conductivity of the unknown metal, you measure the temperature T at the junction between the two bars for several values of TH. You plot your data as T versus TH both in kelvins, and find that your data are well fit by a straight line that has slope 0.460. What do your measurements give for the value of the thermal conductivity of the unknown metal? Use kCu = 385 W/(m⋅K) .
A plane wall has a thickness of 55 cm and is made of a material with a thermal conductivity of 45 W/m K. The inside and outside surfaces of the wall are maintained at 40°C and 80°C, respectively. What is the temperature inside the wall at a distance of 19 cm measured from the inside surface of the wall? Express your answer in °C.
A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The coefficients of thermal expansion for glass and aluminum are 9.0 x 10-6 1/K and 24.0 x 10-6 1/K, respectively. At what temperature will the aluminum ring be able to slip over the glass rod? Between 225 and 250 degrees celsius Between 175 and 200 degrees celsius Between 100 and 125 degrees celsius Higher than 300 degrees celsius Between 250 and 275 degrees celsius Between 125 and 150 degrees celsius Between 275 and 300 degrees celsius Between 150 and 200 degrees celsius O Between 200 and 225 degrees celsius
A walrus transfers energy by conduction through its blubber at the rate of 150 W when immersed in −1.00 °C water. The walrus’s internal core temperature is 37.0 °C , and it has a surface area of 2.00 m2 . What is the average thickness of its blubber, which has the conductivity of fatty tissues without blood?
You drop an ice cube into an insulated flask full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 90.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 890 g and an initial temperature of 24.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the flask, or to the environment.) °C
A metal rod 50 cm long will expand by 0.075 cm if its temperature is from 0°C to 100°C. while metal rod B will expand by 0.045 cm if it is set at the same temperature and length. If you connect metal rods a and b where the total length of the two connections is 50 cm, it will expand by 0.065 cm. if shocked from 0 °C to 100 °C. calculate the length of each piece of metal that makes up this combined rod.
You drop an ice cube into an insulated flask full of water and wait for the ice cube to completely melt. The ice cube initially has a mass of 65.0 g and a temperature of 0°C. The water (before the ice cube is added) has a mass of 670 g and an initial temperature of 28.0°C. What is the final temperature (in °C) of the mixture? (Assume no energy is lost to the walls of the flask, or to the environment.)
A copper sheet of area A is bonded to an unknown metal sheet of area A. The thickness of the unknown metal is half that of the copper. The outside surface of the copper sheet is held at a temperature of 80°C and the unknown metal sheet at 40°C. If the temperature of the copper-unknown metal interface is 60°C, what is the thermal conductivity of the unknown metal in (W/mK)? (Kcu = 386 W/m.K). Select one: O a. 193 b. 772 c. 258 O d. 386 O e. 220 O
A copper rod with a mass of 2.45 kg and length 45.0 cm is initially at a temperature of 35.0° C. It is placed in a 5.82 kg water bath at an initial temperature of 15.0° C. What is the change in length of the rod?
At 24°C, a brass cube has an edge length of 28 cm. What is the increase in the cube's surface area when it is heated from 24°C to 76°C? The linear expansion coefficient of brass is 19 × 10-6 /C°.