Two metal bars are kept at the same temperature and are aligned with their nearer ends separated by a distance of 1 mm., Their far ends are clamped in place. One bar is made out of steel with the coefficient of linear expansion being alpha a-10-5 c-1 The other is made out of iron with the coefficient of linear expansion being alpha a-1.2x 105 "C-1if the steel bar is initially 4m long and the iron bar is initially 5 m long how much must the temperature of the bars be changed (AT) to get them to touch? O 2000 "C O 100 °C O 200 "C O 10 °C O 1000 "C

Two metal bars are kept at the same temperature and are aligned with their nearer ends separated by a distance of 1 mm., Their far ends are clamped in place. One bar is made out of steel with the coefficient of linear expansion being alpha a-10-5 c-1 The other is made out of iron with the coefficient of linear expansion being alpha a-1.2x 105 "C-1if the steel bar is initially 4m long and the iron bar is initially 5 m long how much must the temperature of the bars be changed (AT) to get them to touch? O 2000 "C O 100 °C O 200 "C O 10 °C O 1000 "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 8P

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The rectangular plate shown in Figure P16.60 has an area Ai equal to w. If the temperature increases by T, each dimension increases according to Equation 16.4, where is the average coefficient of linear expansion. (a) Show that the increase in area is A = 2Ai T. (b) What approximation does this expression assume?
The height of the Washington Monument is measured to be 170.00 m on a day when the temperature is 35.0 . What will its height be on a day when the temperature falls to -10.0 ? Although the monument is made of limestone, assume that its coefficient of thermal expansion is the same as that of marble. Give your answer to five significant figures.
Two concrete spans that form a bridge of length L are placed end to end so that no room is allowed for expansion (Fig. P16.63a). If a temperature increase of T occurs, what is the height y to which the spans rise when they buckle (Fig. P16.63b)?
The average coefficient of linear expansion of copper is 17 106 (C)1. The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25C. Assume the copper plates covering the statue are mounted edge to edge without expansion joints and do not buckle or bind on the framework supporting them as the day grows hot. What is the order of magnitude of the statues increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 m
A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (Fig. P20.55). One end of the compound bar is maintained at 80.0C, and the opposite end is at 30.0C. When the energy transfer reaches steady state, what is the temperature at the junction?
At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?
Inside the wall of a house, an L-shaped section of hot-water pipe consists of three parts: a straight horizontal piece h = 28.0 cm long, an elbow, and a straight, vertical piece = 134 cm long (Fig. P10.51). A stud and a second- story floorboard hold the ends of this section of copper pipe stationary. Find the magnitude and direction of the displacement of the pipe elbow when the water flow is turned on, raising the temperature of the pipe from 18.0C to 46.5C. Figure P10.51
An underground gasoline tank can hold 1.00 103 gallons of gasoline at 52.0F. If the tank is being filled on a day when the outdoor temperature (and the gasoline in a tanker truck) is 95.0F, how many gallons from the truck can be poured into the tank? Assume the temperature of the gasoline quickly cools from 95.0F to 52.0F upon entering the tank.
Consider an object with any one of the shapes displayed in Table 10.2. What is the percentage increase in the moment of inertia of the object when it is warmed from 0C to 100C if it is composed of (a) copper or (b) aluminum? Assume the average linear expansion coefficients shown in Table 16.1 do not vary between 0C and 100C. (c) Why are the answers for parts (a) and (b) the same for all the shapes?