Suppose you have a filling in one of your teeth, and, while eating some ice cream, you suddenly realize that the filling came out. One of the reasons the filling may have become detached from your tooth is the differential contraction of the filling relative to the rest of the tooth due to the temperature change. a. Find the change in volume for a metallic dental filling due to the difference between body temperature (37.0°C) and the temperature of the ice cream you ate (-6.5°C). The initial volume of the filling is 38.0 mm3, and its expansion coefficient is α = 42.0 × 10−6 K−1.   b. The change in volume for a metallic dental filling is due to the difference between body temperature (37.0°C) and the temperature of the ice cream you ate (-6.5°C). The initial volume of the filling is 38.0 mm3 and the expansion coefficient of the tooth is α = 17.0 × 10−6 K−1. Find the change in volume of the cavity.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
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Suppose you have a filling in one of your teeth, and, while eating some ice cream, you suddenly realize that the filling came out. One of the reasons the filling may have become detached from your tooth is the differential contraction of the filling relative to the rest of the tooth due to the temperature change.

a. Find the change in volume for a metallic dental filling due to the difference between body temperature (37.0°C) and the temperature of the ice cream you ate (-6.5°C). The initial volume of the filling is 38.0 mm3, and its expansion coefficient is α = 42.0 × 10−6 K−1.

 

b. The change in volume for a metallic dental filling is due to the difference between body temperature (37.0°C) and the temperature of the ice cream you ate (-6.5°C). The initial volume of the filling is 38.0 mmand the expansion coefficient of the tooth is α = 17.0 × 10−6 K−1. Find the change in volume of the cavity.

Thanks

 

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