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$\bullet$ The markings on an aluminum ruler and a brass ruler begin at the left end; when the rulers are at $0.00^{\circ} \mathrm{C}$ , they are perfectly aligned. How far apart will the 20.0 $\mathrm{cm}$ marks be on the two rulers at $100.0^{\circ} \mathrm{C}$ if the left-hand ends are kept precisely aligned?

$8 \times 10^{-5} m=0.08 m m$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Winnipeg

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Okay, so the question was asking us. Ah, hard. Probably be 100 degrees Celsius. Okay, So, uh, let's take a look at the the lens of expansion after the attacks change. Okay, So Well, we know the left. His fashion alone. Artistically. Initial planning of alumina ruler times. The changing temperature intends the coefficient of expansion of land expansion. I will. Alumina and, ah, expansion off press ruler. You just seem to go to the initial and of the brash, vulgar times the changing times your attends the coefficient off last expansion of brass. So we know the chance to temptress 100 degrees houses. Instances ground zero degrees else is 200 degrees Celsius. The initial ah length of ah, aluminum runner, Dura and ah, brass ruler, both 20 centimeters. The coefficient for aluminum is 2.4 times 10 to our binary by over the resources and the coefficient for breast is to point out has tend to make by over degree cells. So now, as calculates, uh, plant expansion for alumina, which will give us like this was initial and that's all alumina wishes 20 centimeter times. The beta alumina, which is 2.4 times 10 to the power neck by all the degree Celsius times. That's changing temperature, which is 100 degrees Celsius. It will give us zero point zero for a sending here and the live expansion for grass ruler will be equal to 27 meter, which is the initial lands of grass. Lower ties to appoint old times potential pardoning five over degree Celsius times 100 degrees Celsius which will give us still 0.0 for centimeter. So how far will it is? Two parts 100 degree Celsius, while just simply you go to sort out our just eagles to delta out a l minus does Ah l We are so just a difference off there. Ex special and okay, which is 0.0 for eight. Why this 0.4? All the units is centimeter. So you'll give us join 00 a centimeters. You're not aware each other l is equal to 0.0 a centimeter which is equal to 0.0 a milli meter Seems one centimeter is time nuclear. Okay, And that's the final answer for this question. Thank you

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