Question 23 Not 198.8 cm O 28.65 cm O 66.38 cm O 66.35 cm A railroad track that is made of individual rails of steel measures 1.2 km in length during a hot day at 33°C. By what length have these increased from a cold day when the temperature is -13.1°C? The coefficient of volume expansion of steel is 36×10 /cº. Time left 1:11:41 Clear my choice Next page

Question 23 Not 198.8 cm O 28.65 cm O 66.38 cm O 66.35 cm A railroad track that is made of individual rails of steel measures 1.2 km in length during a hot day at 33°C. By what length have these increased from a cold day when the temperature is -13.1°C? The coefficient of volume expansion of steel is 36×10 /cº. Time left 1:11:41 Clear my choice Next page

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter18: Temperature

Section: Chapter Questions

Problem 13P

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Similar questions

One way to cool a gas is to let it expand. When a certain gas under a pressure of 5.00 106 Ha at 25.0C is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 106 Pa. (a) What is the initial temperature of the gas in Kelvin? (b) What is the final temperature of the system? (See Section 10.4.)
Two metal bars are made of invar and a third bar is made of aluminum. At 0C, each of the three bars is drilled with two holes 40.0 cm apart. Pins are put through the holes to assemble the bars into an equilateral triangle as in Figure P18.31. (a) First ignore the expansion of the invar. Find the angle between the invar bars as a function of Celsius temperature. (b) Is your answer accurate for negative as well as positive temperatures? (c) Is it accurate for 0C? (d) Solve the problem again, including the expansion of the invar. Aluminum melts at 660C and invar at 1 427C. Assume the tabulated expansion coefficients are constant. What are (e) the greatest and (f) the smallest attainable angles between the invar bars? Figure P18.31
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?
A mercury thermometer still in use for meteorologyhas a bulb with a volume of 0.780 cm3and a tube for the mercury to expand into of inside diameter 0.130 mm. (a)Neglecting the thermal expansion of the glass, what is thespacing between marks 1 °C apart? (b) If the thermometeris made of ordinary glass (not a good idea), what is thespacing?
(a) Suppose a meter stick made of steel and one made of invar are the same length at 0°C. What is their difference in length at 40.0°C? The coefficient of thermal expansion is 12 ✕ 10−6/°C for steel and 0.9 ✕ 10−6/°C for invar. mm(b) Repeat the calculation for two 31.5-m-long surveyor's tapes.
A brass ring of diameter 10.00 cm at 20.00C is heated and slipped over an aluminum rod of diameter 10.01 cm at 20.00C. Assuming the average coefficients of thermal expansion are constant for brass and aluminum, (a) to what temperature must this combination be cooled to separate them? Is this attainable? (b) What if the aluminum rod is 10.02 cm in diameter
A spherical steel ball bearing has a diameter of 2.540 cm at 21.00°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 98.0°C? (Give your answer to at least four significant figures.)? cm(b) What temperature change is required to increase its volume by 0.900%? ?°C
Suppose a 500-mL beaker is filled to the brim with ethyl alcohol at a temperature of 5.00°C. You may assume the beaker is made of tempered glass, and has effectively zero thermal expansion. a) What volume, in milliliters, will overflow the beaker when its temperature reaches 21.5°C? The coefficient of volume expansion for ethyl alcohol is 1.100×10^−3°C^-1. b) What volume of water, in milliliters, will overflow under the same conditions? The coefficient of volume expansion for water is 2.10×10^−4°C^-.
A U.S. penny has a diameter of 1.9000 cmcm at 20.0 ∘C∘C. The coin is made of a metal alloy (mostly zinc) for which the coefficient of linear expansion is 2.6×10−5K−12.6×10−5K−1. Part A What would its diameter be on a hot day in Death Valley ( 47 ∘C∘C )? Express your answer using five significant figures. Part B On a cold night in the mountains of Greenland (-50 ∘C∘C )? Express your answer using five significant figures.
5.0 moles of Helium gas that occupies a volume of 0.400 m3 while at a temperature of 20.00 C undergoes an isobaric expansion to 0.600 m3. What is the final temperature of the gas? a. 1670 C b. 1120 C c. 1940 C d. 1010 C e. 1330 C
Problem 4: A student foolishly attempts to stop a steel bar, of length L = 1 m and at a temperature of 20ºC, from thermally expanding by attaching it to a wooden support with a nail at each end. Steel's Young's modulus is Y = 1.9 × 1011 N/m2 and it's linear thermal expansion coefficient is α = 12.3 × 10-61/C. Randomized VariablesY = 1.9 × 1011 N/m2α = 12.3 × 10-6 1/C I just need part C Part (a) Enter an expression, in terms of defined variables, for the stress, S, that each nail will need to sustain at a temperature Ts. S = Y α ( Ts - To ) Part (b) What is the value of the stress, in pascals, that develops due to a rise of temperature to 21ºC? S = 2337000 Part (c) Assuming the nails have a cross-sectional area of A = 10-5 m2 all of which is perpendicular to the stress force from the bar, what is the force acting on each due to that temperature rise?
A 2-meter-long steel rod has a diameter equal to 2.54 cm. By how much does the rod’s length change in meters if it’s heated from 318 degrees Kelvin to 460 degrees Kelvin? _________ m . You should get a really small answer, feel free to use exponential notation to express it.