Problem

Two cubes with sides of length 100.0 mm fit in a space that is 201.0 mm wide, as shown in...

Two cubes with sides of length 100.0 mm fit in a space that is 201.0 mm wide, as shown in the figure. One cube is made of aluminum, and the other is made of brass. What temperature increase is required for the cubes to completely fill the gap?

Step-by-Step Solution

Solution 1

Express the relation for linear expansion.

Here, is the change in length, is the coefficient of linear expansion, L is the length of the rod, and is the change in temperature.

Express the relation for change in temperature.

Here, is the highest temperature and is the lowest temperature.

Replace for in expression for linear expansion to rewrite in terms of

Substitute for , for L for , and for to find .

Therefore, the highest temperature is .

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Solutions For Problems in Chapter 17

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