Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 17, Problem 14P
A uniform rectangular plate of length ℓ and width w has a coeificient of linear expansion α. Show that, if we neglect very small quantities, the change in area of the plate due to a temperature change ∆T is ∆A = 2αℓw ∆T. See Fig. 17–20.
Figure 17–20
Problem 14. A rectangular plate is heated.
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Chapter 17 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 17.2 - Prob. 1AECh. 17.4 - Prob. 1BECh. 17.5 - How much space would you allow between the...Ch. 17.7 - CHAPTER-OPENING QUESTIONGuess now! A hot-air...Ch. 17.7 - An ideal gas is contained in a steel sphere at...Ch. 17.8 - What is the volume of 1.00 mol of ideal gas at 546...Ch. 17.8 - At 20C, would there be (a) more, (b) less, or (c)...Ch. 17 - Prob. 1QCh. 17 - Name several properties of materials that could be...Ch. 17 - Which is larger, 1 C or 1 F?
Ch. 17 - If system A is in equilibrium with system B, but B...Ch. 17 - Suppose system C is not in equilibrium with system...Ch. 17 - In the relation = 0 T, should 0 be the initial...Ch. 17 - A flat bimetallic strip consists of a strip of...Ch. 17 - Long steam pipes that are fixed at the ends often...Ch. 17 - A flat uniform cylinder of lead floats in mercury...Ch. 17 - Prob. 10QCh. 17 - Prob. 11QCh. 17 - The units for the coefficients of expansion are...Ch. 17 - When a cold mercury-in-glass thermometer is first...Ch. 17 - The principal virtue of Pyrex glass is that its...Ch. 17 - Will a grandfather clock, accurate at 20C, run...Ch. 17 - Freezing a can of soda will cause its bottom and...Ch. 17 - Why might you expect an alcohol-in-glass...Ch. 17 - Will the buoyant force on an aluminum sphere...Ch. 17 - Prob. 19QCh. 17 - From a practical point of view, does it really...Ch. 17 - A ship loaded in sea water at 4C later sailed up a...Ch. 17 - How does the number of atoms in a 21.5-g gold ring...Ch. 17 - How many atoms are there in a 3.4-g copper penny?Ch. 17 - (a) Room temperature is often taken to be 68F....Ch. 17 - Among the highest and lowest natural air...Ch. 17 - Prob. 5PCh. 17 - (II) In an alcohol-in-glass thermometer, the...Ch. 17 - The Eiffel Tower (Fig. 1719) is built of wrought...Ch. 17 - A concrete highway is built of slabs 12m long...Ch. 17 - Prob. 9PCh. 17 - To what temperature would you have to heat a brass...Ch. 17 - Prob. 11PCh. 17 - At a given latitude, ocean water in the so-called...Ch. 17 - (II) To make a secure fit, rivets that are larger...Ch. 17 - A uniform rectangular plate of length and width w...Ch. 17 - (II) An aluminum sphere is 8.75 cm in diameter....Ch. 17 - Prob. 16PCh. 17 - (II) It is observed that 55.50 mL of water at 20C...Ch. 17 - (II) (a) A brass plug is to be placed in a ring...Ch. 17 - (II) If a fluid is contained in a long narrow...Ch. 17 - Prob. 20PCh. 17 - (II) Wine bottles are never completely filled: a...Ch. 17 - (III) (a) Determine a formula for the change in...Ch. 17 - (III) The pendulum in a grandfather clock is made...Ch. 17 - Prob. 24PCh. 17 - Prob. 25PCh. 17 - (II) (a) A horizontal steel 1-beam of...Ch. 17 - (III) A barrel of diameter 134.122 cm at 20C is to...Ch. 17 - (I) What are the following temperatures on the...Ch. 17 - (I) Absolute zero is what temperature on the...Ch. 17 - (II) Typical temperatures in the interior of the...Ch. 17 - Prob. 31PCh. 17 - Prob. 32PCh. 17 - Prob. 33PCh. 17 - Prob. 34PCh. 17 - (II) A stoppered test tube traps 25.0cm3 of air at...Ch. 17 - Prob. 36PCh. 17 - Prob. 37PCh. 17 - (II) A scuba tank is filled with air to a pressure...Ch. 17 - Prob. 39PCh. 17 - Prob. 40PCh. 17 - Prob. 41PCh. 17 - Prob. 42PCh. 17 - Prob. 43PCh. 17 - Prob. 44PCh. 17 - Prob. 45PCh. 17 - (II) You buy an airtight bag of potato chips...Ch. 17 - (II) A typical scuba tank, when fully charged,...Ch. 17 - Prob. 48PCh. 17 - (III) Compare the value for the density of water...Ch. 17 - (III) An air bubble at the bottom of a lake 37.0 m...Ch. 17 - Prob. 51PCh. 17 - Prob. 52PCh. 17 - (II) What is the pressure in a region of outer...Ch. 17 - Prob. 54PCh. 17 - Prob. 55PCh. 17 - Prob. 56PCh. 17 - Prob. 57PCh. 17 - Prob. 58PCh. 17 - Prob. 59PCh. 17 - Prob. 60PCh. 17 - Prob. 61PCh. 17 - Prob. 62GPCh. 17 - A precise steel tape measure has been calibrated...Ch. 17 - Prob. 64GPCh. 17 - The gauge pressure in a helium gas cylinder is...Ch. 17 - If a rod of original length 1 has its temperature...Ch. 17 - Prob. 67GPCh. 17 - Prob. 68GPCh. 17 - A house has a volume of 870 m3. (a) What is the...Ch. 17 - Assume that in an alternate universe, the laws of...Ch. 17 - An iron cube floats in a bowl of liquid mercury at...Ch. 17 - (a) The tube of a mercury thermometer has an...Ch. 17 - From the known value of atmospheric pressure at...Ch. 17 - Estimate the percent difference in the density of...Ch. 17 - Prob. 75GPCh. 17 - A helium balloon, assumed to be a perfect sphere,...Ch. 17 - A standard cylinder of oxygen used in a hospital...Ch. 17 - A brass lid screws tightly onto a glass jar at...Ch. 17 - The density of gasoline at 0C is 0.68 103 kg/m3....Ch. 17 - A helium balloon has volume V0 and temperature T0...Ch. 17 - The first length standard, adopted in the...Ch. 17 - A scuba tank when fully charged has a pressure of...Ch. 17 - A temperature controller, designed to work in a...Ch. 17 - Snorkelers breathe through short tubular snorkels...Ch. 17 - (III) You have a vial of an unknown liquid which...
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