Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 18, Problem 103P
The area A of a rectangular plate is ab = 1.4 m2. Its coefficient of linear expansion is α = 32 × 10–6/C°. After a temperature rise ΔT = 89°C, side a is longer by Δa and side b is longer by Δb (Fig. 18-61). Neglecting the small quantity (Δa Δb)/ab, find ΔA.
Figure 18-61 Problem 103.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
At 25oC, the length of the glass is 50 cm. After heated, the final length of the glass is 50.9 cm. The coefficient of linear expansion is α = 9 x 10-6 C-1. Determine the final temperature of the glass?
The area A of a rectangular plate is ab = 1.4 m². Its coefficient of linear expansion is a = 22 x 10°/C°. After a temperature rise AT =
17°C, side a is longer by Aa and side b is longer by Ab (see the figure). Neglecting the small quantity (AaAb)/ab, find AA.
a
Δα
Aa · Ab
Ab
Number
i
Units
m^2
A steel beam is used in the construction of a skyscraper. By what fraction ΔL/L0 does the length of the beam increase when the temperature changes from that on a cold winter day 4.2°C to that on a summer day 25.7 °C? Assume the linear expansion coefficient is 12x10-6 (C)-1.
Chapter 18 Solutions
Fundamentals of Physics
Ch. 18 - The initial length L, change in temperature T, and...Ch. 18 - Figure 18-24 shows three linear temperature...Ch. 18 - Materials A, B, and C are solids that are at their...Ch. 18 - A sample A of liquid water and a sample B of ice,...Ch. 18 - Question 4 continued: Graphs b through f of Fig....Ch. 18 - Figure 18-26 shows three different arrangements of...Ch. 18 - Figure 18-27 shows two closed cycles on p-V...Ch. 18 - For which cycle in Fig. 18-27, traversed...Ch. 18 - Three different materials of identical mass are...Ch. 18 - A solid cube of edge length r, a solid sphere of...
Ch. 18 - A hot object is dropped into a thermally insulated...Ch. 18 - Suppose the temperature of a gas is 373.15 K when...Ch. 18 - Two constant-volume gas thermometers are...Ch. 18 - A gas thermometer is constructed of two...Ch. 18 - a In 1964, the temperature in the Siberian village...Ch. 18 - At what temperature is the Fahrenheit scale...Ch. 18 - On a linear X temperature scale, water freezes at...Ch. 18 - ILW Suppose that on a linear temperature scale X,...Ch. 18 - At 20C, a brass cube has edge length 30 cm. What...Ch. 18 - ILW A circular hole in an aluminum plate is 2.725...Ch. 18 - An aluminum flagpole is 33 m high. By how much...Ch. 18 - Prob. 11PCh. 18 - An aluminum-alloy rod has a length of 10.000 cm at...Ch. 18 - SSM Find the change in volume of an aluminum...Ch. 18 - When the temperature of a copper coin is raised by...Ch. 18 - ILW A steel rod is 3.000 cm in diameter at 25.00C....Ch. 18 - When the temperature of a metal cylinder is raised...Ch. 18 - SSM WWW An aluminum cup of 100 cm3 capacity is...Ch. 18 - At 20C, a rod is exactly 20.05 cm long on a steel...Ch. 18 - GO A vertical glass tube of length L = 1.280 000 m...Ch. 18 - GO In a certain experiment, a small radioactive...Ch. 18 - SSM ILW As a result of a temperature rise of 32 C,...Ch. 18 - One way to keep the contents of a garage from...Ch. 18 - SSM A small electric immersion healer is used to...Ch. 18 - A certain substance has a mass per mole of 50.0...Ch. 18 - Prob. 25PCh. 18 - What muss of butter, which has a usable energy...Ch. 18 - SSM Calculate the minimum amount of energy, in...Ch. 18 - How much water remains unfrozen after 50.2 kJ is...Ch. 18 - In a solar water heater, energy from the Sun is...Ch. 18 - A 0.400 kg simple is placed in a cooling apparatus...Ch. 18 - ILW What mass of steam at 100C must be mixed with...Ch. 18 - The specific heat of a substance varies with...Ch. 18 - Nonmetric version: a How long does a 2.0 105...Ch. 18 - GO Samples A and B are at different initial...Ch. 18 - An insulated Thermos contains l30 cm3 of hot...Ch. 18 - A 150 g copper bowl contains 220 g of water, both...Ch. 18 - A person makes a quantity of iced tea by mixing...Ch. 18 - A 0.530 kg sample of liquid water and a sample of...Ch. 18 - GO Ethyl alcohol has a boiling point of 78.0C, a...Ch. 18 - GO Calculate the specific heat of a metal from the...Ch. 18 - SSM WWW a Two 50 g ice cubes are dropped into 200...Ch. 18 - GO A 20.0 g copper ring at 0.000C has an inner...Ch. 18 - In Fig. 18-37, a gas sample expands from V0 to...Ch. 18 - GO A thermodynamic system is taken from stale A to...Ch. 18 - SSM ILW A gas within a closed chamber undergoes...Ch. 18 - Suppose 200 J of work is done on a system and 70.0...Ch. 18 - Prob. 47PCh. 18 - GO As a gas is held within a closed chamber, it...Ch. 18 - GO Figure 18-42 represents a closed cycle for a...Ch. 18 - GO A lab sample of gas is taken through cycle abca...Ch. 18 - A sphere of radius 0.500 m, temperature 27.0C, and...Ch. 18 - The ceiling of a single-family dwelling in a cold...Ch. 18 - SSM Consider the slab shown in Fig. 18-18. Suppose...Ch. 18 - If you were to walk briefly in space without a...Ch. 18 - ILW A cylindrical copper rod of length 1.2 m and...Ch. 18 - The giant hornet Vespa mandarinia japonica preys...Ch. 18 - Prob. 57PCh. 18 - A solid cylinder of radius r1 = 2.5 cm, length h1...Ch. 18 - Prob. 59PCh. 18 - GO Figure 18-46 shows the cross section of a wall...Ch. 18 - SSM A 5.0 cm slap has formed on an outdoor tank of...Ch. 18 - Leidenfrost effect. A water drop will last about 1...Ch. 18 - GO Figure 18-49 shows in cross section a wall...Ch. 18 - Prob. 64PCh. 18 - Ice has formed on a shallow pond, and a shady...Ch. 18 - GO Evaporative cooling of beverages. A cold...Ch. 18 - In the extrusion of cold chocolate from a tube,...Ch. 18 - Prob. 68PCh. 18 - Figure 18-51 displays a closed cycle for a gas....Ch. 18 - In a certain solar house, energy from the Sun is...Ch. 18 - A 0.300 kg sample is placed in a cooling apparatus...Ch. 18 - The average rate at which energy is conducted...Ch. 18 - What is the volume increase of an aluminum cube...Ch. 18 - In a series of experiment, block B is to be placed...Ch. 18 - Figure 18-54 displays a dosed cycle for a gas....Ch. 18 - Three equal-length straight rods, of aluminum,...Ch. 18 - SSM The temperature of a 0.700 kg cube of ice is...Ch. 18 - GO Icicles. Liquid water coats an active growing...Ch. 18 - SSM A sample of gas expands from an initial...Ch. 18 - Figure 18-56a shows a cylinder containing gas and...Ch. 18 - SSM A sample of gas undergoes a transition from an...Ch. 18 - Prob. 82PCh. 18 - SSM The temperature of a Pyrex disk is changed...Ch. 18 - a Calculate the rate at which body heat is...Ch. 18 - SSM A 2.50 kg Jump of aluminum is heated to 92.0C...Ch. 18 - A glass window pane is exactly 20 cm by 30 cm at...Ch. 18 - A recruit can join the semi-secret 300 F club at...Ch. 18 - A steel rod at 25.0C is bolted at both ends and...Ch. 18 - An athlete needs to lose weight and decides to do...Ch. 18 - Soon after Earth was formed, heat released by the...Ch. 18 - Prob. 91PCh. 18 - A rectangular plate of glass initially has the...Ch. 18 - Suppose that you intercept 5.0 103 of the energy...Ch. 18 - A thermometer of mass 0.0550 kg and of specific...Ch. 18 - A sample of gas expands from V1 = 1.0 m3 and p1 =...Ch. 18 - Figure 18-59 shows a composite bar of length L =...Ch. 18 - On finding your stove out of order, you decide to...Ch. 18 - The p-V diagram in the Fig. 18-60 shows two paths...Ch. 18 - A cube of edge length 6.0 106 m, emissivity 0.75,...Ch. 18 - A flow calorimeter is a device used to measure the...Ch. 18 - An object of mass 6.00 kg falls through a height...Ch. 18 - The Pyrex glass mirror in a telescope has a...Ch. 18 - The area A of a rectangular plate is ab = 1.4 m2....Ch. 18 - Consider the liquid in a barometer whose...Ch. 18 - A pendulum clock with a pendulum made of brass is...Ch. 18 - Prob. 106PCh. 18 - Prob. 107PCh. 18 - A 1700 kg Buick moving at 83 km/h brakes to a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Dr. Ara B. Dopsis and Dr. C. Ellie Gans are performing genetic crosses on daisy plants. They self-fertilize a b...
Genetic Analysis: An Integrated Approach (3rd Edition)
Your bore cells, muscle cells, and skin cells look different because a. different kinds of genes are present in...
Campbell Essential Biology (7th Edition)
The difference between a physical change and a chemical change must be explained. Concept introduction: In phys...
Living By Chemistry: First Edition Textbook
2. List the subdivisions of the thoracic and abdominopelvic cavities.
Human Anatomy & Physiology (2nd Edition)
Explain all answers clearly, with complete sentences and proper essay structure if needed. An asterisk(*) desig...
Cosmic Perspective Fundamentals
21.49 The atomic masses of hydrogen-2 (deuterium), helium-4, and lithium-6 are 2.014102 amu, 4.002602 amu, 6.01...
Chemistry: The Central Science (14th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- One of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?arrow_forward..60 GO Figure Figure 18-46 shows the cross section of a wall made of three layers. The layer thicknesses are L₁, L2=0.700L₁, and L3=0.350L₁. The thermal conductivities are k₁, k₂ = 0.900k₁, and k3= 0.800k₁. The temperatures at the left side and right side of the wall are TH = 30.0°C and Tc = -15.0°C, respectively. Ther- mal 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 1.1k₁, (b) would the rate at which energy is con- ducted through the wall be greater than, less than, or the same as pre- viously, and (c) what would be the value of AT₂? TH k₁ k₂ kg Tc L₁ L2 L3 Figure 18-46 Problem 60. Air Ice Waterarrow_forwardProblem 4: The height of the Washington Monument is measured to be 170 m on a day when the temperature is 35.0°C. Assume its thermal coefficient of linear expansion is 2.5 x 10-6/°C. What will its height be, in meters, on a day when the temperature falls to –10.0°C? h =arrow_forward
- A hollow aluminum cylinder 19.5 om deep has an internal capacity of 2.000 L at 21.0°C. It is completely filled with turpentine at 21.0°C. The turpentine and the aluminum cylinder are the slowly warmed together to 79.0°C. (The average linear expansion coefficient for aluminum is 24 x 10-c, and the average volume expansion coefficient for turpentine is 9.0 103) (a) How much turpentine overflows? cm³ (b) What is the volume of turpentine remaining in the cylinder at 79 0°C? (Give your answer to at least four significant figures) (c) If the combination with this amount of turpentine is then cooled back to 21.0°C, how far below the cylinder's rim does the turpentine's surface recede? omarrow_forwardWhen builders were constructing a sidewalk they forgot to include an expansion joint between two of the segments, L = 2.5 m at To = 20° C. Assume the opposite ends of each segment are fixed and the linear expansion coefficient is α = 11.9 × 10-6 °C-1. a) As the day heats to Tb the segments press against each other and begin to raise the junction a distance h forming a triangle. What is the height (in meters) at Tb=110° F? b) What should the gap have been to prevent them from touching in meters?arrow_forwardGiven R= 8.31 J mol·' K-' mol-', k= 1.38 x10-23 J K', NA = 6.23 x 1023 mol·1 2. A balloon of diameter 20.0 cm is filled with helium gas at 30°C at 1.00 atm. a) How many atoms of helium gas fill a balloon having a diameter of 20.0 cm at 30 °C at 1.00 atm? [ans: 1.02 x 1021 helium's atoms] b) Calculate the average kinetic energy of the helium atoms [ans: 6.27x10-21 J]arrow_forward
- Railroad tracks are made from segments L = 65 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width l between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is α = 12 × 10-6 °C-1 and engineers design the tracks to withstand temperatures of Tc = 39.5 degrees. A) Enter an expression, in terms of given variables, for the minimum gap distance l the engineers must leave for a track rated at temperature Tc. l= B)What is the minimum gap distance in meters? C) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at Tc?arrow_forwardProblem 3: Railroad tracks are made from segments L = 76 m long at T = 20° C. When the tracks are laid, the engineers leave gaps of width I between adjacent segments to allow for thermal expansion. The coefficient of linear expansion is a = 12 × 10-6 °C-1 and engineers design the tracks to withstand temperatures of Te = 36 degrees. Part (a) Enter an expression, in terms of given variables, for the minimum gap distance I the engineers must leave for a track rated at temperature Tc 1= Part (b) What is the minimum gap distance in meters? Part (c) Suppose the engineers forgot to add the gaps at the beginning of 15 segments. How much longer, in meters, would the track be at T?arrow_forwardA steel rod is initially 1 meter long at a temperature of 20°C. Assuming that the expansion is uniform along the entire length of the rod , if the coefficient of linear expansion for steel is 11 x 10^-6 per degree Celsius, calculate: a) The change in length of the rod when its temperature is increased to 100°C. b) The final length of the rod at 100°C.arrow_forward
- The average coefficient of linear expansion of copper is 17 x 10-6 (°C)-1 . The Statue of Liberty is 93 in tall on a summer morning when the temperature is 25°C. 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 statue's increase in height? (a) 0.1 mm (b) 1 mm (c) 1 cm (d) 10 cm (e) 1 mlarrow_forward15. ssm When the temperature of a coin is raised by 75 C°, the coin's diameter increases by 2.3 × 10-5 m. If the original diameter of the coin is 1.8 X 10-2 m, find the coefficient of linear expansion.arrow_forwardThe linear expansion coefficient of a bronze plate at 0oC is α = 18 x 10-6 oC-1. The dimension of the bronze plate is 40 cm in length and 20 cm in width. If we heated the plate at 92.3oC, what will be the increase in the area of the plate.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Thermodynamics: Crash Course Physics #23; Author: Crash Course;https://www.youtube.com/watch?v=4i1MUWJoI0U;License: Standard YouTube License, CC-BY