The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room temperature (20.0 ∘C). What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 62.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α= 1.2×10^−5 K^−1. Express answer in millimeters.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
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The outer diameter of a glass jar and the inner diameter of its iron lid are both 760 mmmm at room temperature (20.0 ∘C).

What will be the size of the mismatch between the lid and the jar if the lid is briefly held under hot water until its temperature rises to 62.5 ∘C, without changing the temperature of the glass? Use the coefficient of linear expansion for iron α= 1.2×10^−5 K^−1.

Express answer in millimeters.

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