Fundamentals of Physics, Extended
12th Edition
ISBN: 9781119773474
Author: David Halliday; Robert Resnick; Jearl Walker
Publisher: Wiley Global Education US
expand_more
expand_more
format_list_bulleted
Question
Chapter 18, Problem 100P
(a)
To determine
To prove: The difference in the length of two rods remain constant at all temperature
(b)
To determine
The length of steel and brass rod such that their temperature difference at
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 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.
A brass ring of diameter 10.00 cm at 19.3°C is heated and slipped over an aluminum rod of diameter 10.01 cm at 19.3°C. Assume the average coefficients of linear expansion are constant.
(a) To what temperature must the combination be cooled to separate the two metals? (°C)
(b) What if the aluminum rod were 8.23 cm in diameter
A brass ring of diameter 10.00 cm at 20.00C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20.00C. Assuming the average coefficients of thermal expansion are constant for brass and aluminum, (a) to what temperature must this combination be cooled to separate them? Is this attainable? (b) What if the aluminum rod is 10.02 cm in diameter
Chapter 18 Solutions
Fundamentals of Physics, Extended
Ch. 18 - The initial length L, change in temperature T, and...Ch. 18 - Materials A, B, and C are solids that are at their...Ch. 18 - A solid cube of edge length r, a solid sphere of...Ch. 18 - Suppose the temperature of a gas is 373.15 K when...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 - 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 - 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 - 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 - 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 - 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 - Suppose 200 J of work is done on a system and 70.0...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 - 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 - Prob. 57PCh. 18 - A solid cylinder of radius r1 = 2.5 cm, length h1...Ch. 18 - GO Figure 18-46 shows the cross section of a wall...Ch. 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 - In a certain solar house, energy from the Sun is...Ch. 18 - The average rate at which energy is conducted...Ch. 18 - What is the volume increase of an aluminum cube...Ch. 18 - SSM The temperature of a 0.700 kg cube of ice is...Ch. 18 - SSM A sample of gas expands from an initial...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 - 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 - On finding your stove out of order, you decide to...Ch. 18 - Prob. 99PCh. 18 - Prob. 100PCh. 18 - Prob. 101PCh. 18 - Prob. 102PCh. 18 - Prob. 103PCh. 18 - Prob. 104PCh. 18 - Prob. 105PCh. 18 - Prob. 106PCh. 18 - Prob. 107PCh. 18 - Prob. 108PCh. 18 - Prob. 109P
Knowledge Booster
Similar questions
- An ideal gas initially at 300 K undergoes an isobaric expansion at 2.50 kPa. If the volume increases from 1.00 m3 to 3.00 m3 and 12.5 kJ is transferred to the gas by heat, what are (a) the change in its internal energy and (b) its final temperature?arrow_forwardThe 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.arrow_forwardAn aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)arrow_forward
- 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?arrow_forwardConsider 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?arrow_forwardOne 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
- For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?arrow_forwardTwo cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forwardThe measurement of the average coefficient of volume expansion for a liquid is complicated because the container also changes size with temperature. Figure P19.62 shows a simple means for measuring despite the expansion of the container. With this apparatus, one arm of a U-tube is maintained at 0C in a water-ice bath, and the other arm is maintained at a different temperature Tc in a constant-temperature bath. The connecting tube is horizontal. A difference in the length or diameter of the tube between the two arms of the U-tube has no effect on the pressure balance at the bottom of the tube because the pressure depends only on the depth of the liquid. Derive an expression for for the liquid in terms of h0, hi and Tc.arrow_forward
- 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)?arrow_forwardA popular brand of cola contains 6.50 g of carbon dioxide dissolved in 1.00 L of soft drink. If the evaporating carbon dioxide is trapped in a cylinder at 1.00 atm and 20.0C, what volume does the gas occupy?arrow_forwardA rubber balloon is filled with 1 L of air at 1 atm and 300 K and is then put into a cryogenic refrigerator at 100 K. The rubber remains flexible as it cools. (i) What happens to the volume of the balloon? (a) It decreases to 13L. (b) It decreases to 1/3L. (c) It is constant. (d) It increases to 3L. (e) It increases to 3 L. (ii) What happens to the pressure of the air in the balloon? (a) It decreases to 13atm. (b) It decreases to 1/3atm. (c) It is constant. (d) It increases to 3atm. (e) It increases to 3 atm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author: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, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning