The first real length standard, adopted more than 200 yearsago, was a platinum bar with two very fine marks separatedby what was defined to be exactly one meter. If this standardbar was to be accurate to within +1.0 µm, how carefullywould the trustees have needed to control the temperature?The coefficient of linear expansion is 9 × 10-6/C°.

Given, The change in the length, ∆l=±1 μm=1×10-6 m Initial length, l0=1 m Coefficient of linear…

Answered: The first real length standard, adopted…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

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Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 25P: A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of...

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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.
A person taking a reading of the temperature in a freezer in Celsius makes two mistakes: first omitting the negative sign and then thinking the temperature is Fahrenheit. That is, the person reads xC as xF . Oddly enough, the result is the correct Fahrenheit temperature. What is the original Celsius reading? Round your answer to three significant figures.
Show that =3a , by calculating the infinitesimal change in volume dT of a cube with sides of length L when the temperature changes by dT .
What is the total translational kinetic energy of the air molecules in a room of volume 23 m3 if the pressure is 9.5104 Pa (the room is at fairly high elevation) and die temperature is 21 ? Is any item of data unnecessary for the solution?
A company advertises that it delivers helium at a gauge pressure of 1.72107 Pa in a cylinder of volume 43.8 L. How many balloons can be inflated to a volume of 4.00 L with that amount of helium? Assume the pressure inside the balloons is 1.72105 Pa and the temperature in the cylinder and the balloons is 25.0 .
If the area A, of a rectangular plate is ab and its coefficient of linear expansion is a . After a temperature rise AT, show that the change in area, AA is : AA = A, YAT where y = 2a
A gold wire 2.4 m long has its temperature lowered by 42oC. Assuming the linear coefficient of expansion has a constant value of 13 x 10-6 K-1 over that temperature range, calculate the change in length of the wire. Express your answer in mm.
A glass bottle has a capacity of exactly 500 ml at room temperature (20 degree Celsius). What is its capacity at the freezing temperature of water if its coefficient of linear expansion is 1.2x10^-5 /°C? (Given, Solution, Figure)
If the pressure in a car tire is 2.0 atm at 27°C, what will be the pressure if the temperature warms to 57°C? Assume that the volume of the tire remains constant. A patient with heat stroke has a temperature of 105.8 0 What does this read on a Celsius thermometer?
An aluminum wire is wrapped in rubber insulation. Both are subject to thermal expansion, with the following coefficients of linear expansion: alphaa=24· 10−6 1/C and alphar=8· 10−5 1/C . If the wire and insulation are the same length of 1.85m at a temperature of20.00°C, what is the difference in length (in MILLIMETERS) between the copper wire and the rubber insulation when heated up to a temperature of 189.00°C? Express a magnitude only (no negatives!). ______mm (MILLIMETERS!)
Two solid spheres, A and B, made of the same material, are at temperatures of 0 °C and 100 °C , respectively. The spheres are placed in thermal contact inan ideal calorimeter, and they reach an equilibrium temperature of 20 °C . Which is the bigger sphere? What is the ratio of their diameters?
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.

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