States of Matter - MCAT Chemical and Physical Foundations of Biological Systems

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Question

A brass disk with an outer diameter of has a diameter hole cut through its center. If the disk is initially at and is then placed into a freezer at , what is the final area of the hole?

The linear expansion coefficient for brass is:

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Answer

First, find the original area of the hole, in square meters:

We will also convert the temperatures to Kelvin.

The linear thermal expansion equation is:

Similarly, the thermal expansion of an area is given by the equation:

We are given the value of the constant, we know the original area, and we have the change in temperature. Using these values, we can solve for the change in area.

Find the final area of the hole by adding the change in area to the original area.

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