Consider a cylindrical aluminum container meant to store liquids. When the container isat 20 °C, it is 20 centimeters deep and has a capacity of 2000 cm³. a) The container iscompletely filled with turpentine at 20 °C. The turpentine and its aluminum containerare then slowly warmed to 80 °C. Since the coefficient of thermal expansion forturpentine is larger than that for aluminum, the turpentine will expand more in thisprocess, and thus will overflow. Calculate the volume of turpentine that overflows at80 °C. Express your answer in cubic centimeters. b) Next, the turpentine that remainedin the container and the container itself are slowly cooled back to 20 °C. Since thecoefficient of thermal expansion for turpentine is larger than that for aluminum, theturpentine will contract more in this process. Thus, the turpentine will no longer fill thecontainer completely. How far below the cylinder's rim does the turpentine's surfacerecede at 20 °C? Express your answer in centimeters.Hint: The volume of the aluminum container expands as it is heated. In other words, thecylindrical cavity where the liquid is stored grows bigger. Thus, you will have to keeptrack of two volumes. One is the volume of the aluminum container Va. and the other isthe volume of turpentine V.. Look up the coefficients of thermal expansion for aluminumand turpentine in your textbook.

We guess that vertical cubic centimetres of turpentine will overflow, and that the liquid level will…

Answered: container completely. How far below the…

container completely. How far below the cylinder's rim does the turpen recede at 20 °C? Express your answer in centimeters. Hint The volume of the aluminum container expands as it is heated In otl

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Consider a cylindrical aluminum container meant to store liquids. When the container is
at 20 °C, it is 20 centimeters deep and has a capacity of 2000 cm³. a) The container is
completely filled with turpentine at 20 °C. The turpentine and its aluminum container
are then slowly warmed to 80 °C. Since the coefficient of thermal expansion for
turpentine is larger than that for aluminum, the turpentine will expand more in this
process, and thus will overflow. Calculate the volume of turpentine that overflows at
80 °C. Express your answer in cubic centimeters. b) Next, the turpentine that remained
in the container and the container itself are slowly cooled back to 20 °C. Since the
coefficient of thermal expansion for turpentine is larger than that for aluminum, the
turpentine will contract more in this process. Thus, the turpentine will no longer fill the
container completely. How far below the cylinder's rim does the turpentine's surface
recede at 20 °C? Express your answer in centimeters.
Hint: The volume of the aluminum container expands as it is heated. In other words, the
cylindrical cavity where the liquid is stored grows bigger. Thus, you will have to keep
track of two volumes. One is the volume of the aluminum container Va. and the other is
the volume of turpentine V.. Look up the coefficients of thermal expansion for aluminum
and turpentine in your textbook.

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