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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

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
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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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.
Transcribed Image Text: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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