### Linear Thermal Expansion

An iron rod, average linear coefficient of expansion $$12 \times 10^{-6}\;^{\text{o}}\text{C}^{-1}$$, has a length of 15 m at 20 ° C, if the bar is heated to 150 ° C, determine
ä) The expansion of the bar; b) The final length of the bar.

### Area Thermal Expansion

A square aluminum plate has an area of 2 m2 at 50 °C, if the plate is cooled to 0 °C its area decreases from 0.0044 m2. Determine the coefficients of surface and linear expansion of aluminum

### Volumetric Thermal Expansion

A vessel has an internal volume of 1 liter at 20°C, the vessel is heated to 100°C. Determine the internal volume of this vessel after heating knowing that the coefficient of linear expansion of the material is $$15 \times 10^{-6}\;^{\text{o}}\text{C}^{-1}$$.

### Liquid Thermal Expansion

A vessel is completely filled with 125 cm3 of mercury at a temperature of 20°C. The average coefficient of expansion of the mercury is $$180 \times 10^{-6\;\text{o}}\text{C}^{-1}$$ and the coefficient of linear expansion of the glass is $$9 \times 10^{-6\;\text{o}}\text{C}^{-1}$$. Determine the volume of mercury spilled out when the temperature rises to 28°C.