### Thermal Expansion

*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.

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 m

^{2}at 50 °C, if the plate is cooled to 0 °C its area decreases from 0.0044 m^{2}. 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 cm

^{3}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.