A container made of steel, which has a coefficient of linear expansion 11 x 10-6 (°C) -1, has a volume of 57.5 gallons. The container is filled to the top with carbon tetrachloride, which has a coefficient of volume expansion of 5.8 x 10-4 (°C)-1, when the temperature is 10.0°C. If the temperature rises to 25.5°C, how much carbon tetrachloride (in gal) will spill over the edge of the container?

An aluminium ring with a hole having area 4.02 cm² is to be shrink fitted on a steel rod with cross sectional area of 4.04 cm2. Both rod and ring were initially measure at a temperature of 35.0 °C. At what common temperature will the aluminium ring be exactly the same size as the steel rod? The measured coefficient of thermal expansion of steel is 11.0x10-6 K1 and the measured coefficient of thermal expansion of aluminium is 24.0x10-6 x-1.

A metal rod had a coefficient of linear expansion α = 1.5 x 10-5 1/K. It has a starting length of 210 cm. When the temperature changes from 25 °C to 55 °C, by how much does the length of the rod change, in cm?

A mountain hiker tightens the cap on a half-full plastic water bottle at a high altitude. The volume of air in the sealed bottle is 5 x 10-4 m³, the pressure is 64 kPa and the temperature is -8 °C. The hiker descends to a lower altitude where the pressure is 94.2 kPa and the temperature is 11 °C. What is the final volume of the sealed air inside the bottle? (this is what causes the plastic bottle to deform if you've ever experience this situation)