- 720

- 27

**1. Homework Statement**

If a steel plate with a hole of 10 cm in diameter is heated 35 degrees kelvin, what will the new diameter be? ##\alpha_L = 13 \cdot 10^{−6} K^{−1}##

**2. Homework Equations**

##\Delta L = \alpha_L \cdot \Delta T \cdot L##

**3. The Attempt at a Solution**

If I understand the length-expansion formula correctly, all the dimensions of the substance should change by a factor ##\Delta L /L## (why?).

Then the diameter will then increase in size to ##L+\Delta L##? Uhm, how so? Considering there is a void inside the plate, and the rest of the plate is expanding, shouldn't the plate also expand into the hole? But according to the formula, the plate should expand in the same way as if the hole did not exist!

Can somebody explain how this works? I'm new to thermodynamics.

Last edited: