/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q12E One of the tallest buildings in ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q12E (page 575)

One of the tallest buildings in the world is the Taipei 101 in Taiwan, at a height of 1671 feet. Assume that this height was measured on a cool spring day when the temperature was 15.5潞C. You could use the building as a sort of giant thermometer on a hot summer day by carefully measuring its height. Suppose you do this and discover that the Taipei 101 is 0.471 foot taller than its official height. What is the temperature, assuming that the building is in thermal equilibrium with the air and that its entire frame is made of steel?

Short Answer

Expert verified

The temperature at which the length is increased by 0.471 foot is 39.0掳C.

Step by step solution

01

Concept of Linear Expansion in solids.

The linear change in length when the temperature change is given by the linear expansion expression,

L=L0(1+伪鈭�T) ...(i)

Here, L is the expanded length, L0 is the original length, 伪 is the coefficient of expansion of the material and T is the absolute temperature.

02

 Determination of the change in length of the steel deck when temperature increases from -5.0ºC to 18.0ºC.

For steel, the coefficient of linear expansion,

伪=1.2脳10-5C掳-1

Rearrange equation (i) to get the change in temperature that causes the length increase of the tower.

鈭�L=L0伪鈭�T鈭�T=鈭�LL0伪

Substitute all values in above equation,

鈭�T=0.471ft1.2脳10-5C掳-11671ft=23.5C掳

Thus, the temperature at which the length increases by 0.471 ft is,

T2=15.5掳C+23.5掳C=39.0掳C

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A system is taken from state a to state b along the three paths shown in Fig. Q19.23. (a) Along which path is the work done by the system the greatest? The least? (b) IfUb>Ua , along which path is the absolute value of the heat transfer,Q , the greatest? For this path, is heat absorbed or liberated by the system? Explain

The coolant in an automobile radiator is kept at a pressure higher than atmospheric pressureT. Why is this desirable? The radiator cap will release coolant when the gauge pressure of the coolant reaches a certain value, typically or so. Why not just seal the system completely?

Digesting fat produces 9.3food calories per gram of fat, and typically 80% of this energy goes to heat when metabolized. (One food calorie is 1000 calories and therefore equals 4186 J.) The body then moves all this heat to the surface by a combination of thermal conductivity and motion of the blood. The internal temperature of the body (where digestion occurs) is normally 37掳C, and the surface is usually about 30掳C.By how much do the digestion and metabolism of a 2.50g pat

of butter change your body鈥檚 entropy? Does it increase or decrease?

The Lagoon Nebula (Fig. E18.24) is a cloud of hydrogen gas located 3900 light-years from the earth. The cloud is about 45 light-years in diameter and glows because of its high temperature of 7500 K. (The gas is raised to this temperature by the stars that lie within the nebula.) The cloud is also very thin; there are only 80 molecules per cubic centimeter. (a) Find the gas pressure (in atmospheres) in the Lagoon Nebula. Compare it to the laboratory pressure referred to in Exercise 18.23. (b) Science-fiction films sometimes show starships being buffeted by turbulence as they fly through gas clouds such as the Lagoon Nebula. Does this seem realistic? Why or why not?

(Fig.E18.24)

20.27 (a) Calculate the change in entropy when 1.00 kg of water at 100掳Cis vaporized and converted to steam at 100掳C(see Table 17.4). (b) Compare your answer to the change in entropy when 1.00 kg of ice is melted at 0掳C, calculated in Example 20.5 (Section 20.7). Is the change in entropy greater for melting or for vaporization? Interpret your answer using the idea that entropy is a measure of the randomness of a system
See all solutions

Recommended explanations on Physics Textbooks

Fundamentals of Physics

Read Explanation

Fields in Physics

Read Explanation

Electricity and Magnetism

Read Explanation

Translational Dynamics

Read Explanation

Astrophysics

Read Explanation

Magnetism and Electromagnetic Induction

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.