Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length(1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-³ /°C and 2.7 × 10-6 /°C respectively.(a) What is their difference in length, in meters, at 24.5°C ?ALstick50% Part (b) Repeat the calculation for two 30.0-m-long surveyor's tapes.ALtape

Answered: Image /qna-images/answer/b1ec2ca8-a4eb-48d2-9fef-e4f24fc8a2c8.jpg

Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length (1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-5 /°C and 2.7 × 10-6 /°C respectively. (a) What is their difference in length, in meters, at 24.5°C ? ALstick D A 50% Part (b) Repeat the calculation for two 30.0-m-long surveyor's tapes. ALtane =

Suppose you have two meter sticks, one made of steel and one made of invar (an alloy of iron and nickel), which are the same length (1.00 m) at 0°C. The coefficients of volume expansion for steel and invar are 3.6 × 10-5 /°C and 2.7 × 10-6 /°C respectively. (a) What is their difference in length, in meters, at 24.5°C ? ALstick D A 50% Part (b) Repeat the calculation for two 30.0-m-long surveyor's tapes. ALtane =

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 64P: Two concrete spans that form a bridge of length L are placed end to end so that no room is allowed...

See similar textbooks

Similar questions

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
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.
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?
A hollow aluminum cylinder 20.0 cm deep has an internal capacity of 2.000 L at 20.0C. It is completely filled with turpentine at 20.0C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0C. (a) How much turpentine overflows? (b) What is the volume of the turpentine remaining in the cylinder at 80.0C? (c) If the combination with this amount of turpentine is then cooled back to 20.0C, how far below the cylinders rim does the turpentines surface recede?
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)?
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.
A spherical steel ball bearing has a diameter of 2.540 cm at 30.00°C. (Assume the coefficient of linear expansion for steel is (11 ✕ 10−6 )(°C)−1. (a) What is its diameter when its temperature is raised to 102.0°C? (Give your answer to at least four significant figures.) cm (b) What temperature change is required to increase its volume by 1.100%?
The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room temperature (20.0 ∘C). What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 62.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α= 1.2×10^−5 K^−1. Express answer in millimeters.
A spherical steel ball bearing has a diameter of 2.540 cm at 26.00°C. (Assume the coefficient of linear expansion of the steel is 1.10 10-5(°C-1), and the average volume expansion coefficient is 3.30 10-5(°C-1).) A) What is its diameter when its temperature is raised to 97.0°C? (Give your answer to four significant figures in cm.) B) What temperature change is required to increase its volume by 1.100%?
The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mm at room temperature (20.0 ∘C). a)What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 57.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α=1.2×10−5K−1.
Consider liquid water at 1 atm. At 25◦C, the density of water is 0.997044 g cm−3 . The coefficient of thermal expansion, α, is well fitted by α = e + ft + gt2 where t is in celsius and e = −1.00871 × 10-5 K−1 , f = 1.20561 × 10-5 C −1 K−1 , and g = −5.4150 ×10-8 C−2 K−1 . What is the density of the water at 38◦C
Aluminum has a density of 2.712 ✕ 103 kg/m3 at 0°C and an average linear expansion coefficient of 2.200 ✕ 10−5(°C−1). A 15.00 kg block of aluminum at 0°C is heated to 70.00°C. (a)What is the density (in kg/m3) of the aluminum block at 70.00°C? (Round your answer to at least four significant figures.) Answer- kg/m3 (b)What is the mass (in kg) of the aluminum block at 70.00°C? Answer- kg