A hollow aluminum cylinder 24.5 cm deep has an internal capacity of 2.000 L at 23.0°C. It is completely filled with turpentine at 23.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 75.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10−6°C−1, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10−4°C−1.)(a) How much turpentine overflows? cm3(b) What is the volume of turpentine remaining in the cylinder at 75.0°C? (Give your answer to at least four significant figures.) L(c) If the combination with this amount of turpentine is then cooled back to 23.0°C, how far below the cylinder's rim does the turpentine's surface recede? cm

a) The aluminum cylinder’s new volume after heating can be determined as, Here, V, T, and αC…

Answered: (a) How much turpentine overflows? cm3…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 61PQ

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A hollow aluminum cylinder 24.5 cm deep has an internal capacity of 2.000 L at 23.0°C. It is completely filled with turpentine at 23.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 75.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10⁻⁶°C⁻¹, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10⁻⁴°C⁻¹.)

(a) How much turpentine overflows?
cm³

(b) What is the volume of turpentine remaining in the cylinder at 75.0°C? (Give your answer to at least four significant figures.)
L

(c) If the combination with this amount of turpentine is then cooled back to 23.0°C, how far below the cylinder's rim does the turpentine's surface recede?
cm

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