This recitation will focus on the ideal gas law and thermal stress -- both describe the behavior of matter under changing pressure. Please experiment with the Physlet simulations below and complete the required calculations on your worksheet.
The physlet above displays a rod that is 20 m in length at -100°C. The temperature is then raised to 100°C. The resulting change in length and the thermal stress assuming this change in length was prevented are then given. Note that thermal expansion may not be visible on the scale of our animation.
Substance | Coefficient of Thermal Expansion a | Young's Modulus Y |
Steel | 12 x 10-6 C°-1 | 20 x 1010 N/m2 |
Lead | 29 x 10-6 C°-1 | 1.6 x 1010 N/m2 |
It is interesting that the change in length is so small that it is not visible at the resolution of the simulation yet the stress associated with this expansion is so large.
Worksheet: Can you determine the coefficient of linear expanion and Young's Modulus for Kryptonite?
A giant spherical air bubble rises in a large body of water as shown in the animation (position is in meters and time is in seconds) like what you might get from underwater industrial vents. You may control the original depth and size of the bubble. What does the ideal gas law say about how temperature changes between the initial depth and the surface?
Worksheet: Determine the values of the unknown bubble radius, unknown starting bubble depth, and the temperature ratio for these two unknown values.