Thermal Expansion
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Linear Thermal Expansion


An iron rod, average linear coefficient of expansion 12 × 10−6 °C−1, has a length of 15 m at 20 °C, if the bar is heated to 150 °C find:
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. Find the coefficients of surface and linear expansion of aluminum.

Volumetric Thermal Expansion


The average coefficient of linear expansion of iron is equal to 0.0000117 °C−1. How much does it increase the temperature of an iron block so that its volume increases from 1%?

Two metallic blocks A and B, at 0 °C, have equal volumes to 250.75 cm3 and 250 cm3, respectively. The averages coefficients of linear expansion are, respectively, 2×10−5 °C−1 and 3×10−5 °C−1. Determine:
a) The temperature in which the blocks have equal volumes;
b) What is the volume of the blocks in the temperature calculated in item (a).

A container with an internal volume of 1 liter at 20 °C is heated to 100 °C. Find the volume of this container after heating, knowing that the coefficient of linear expansion of the material is 15 × 10−6 °C−1.

Liquid Thermal Expansion


A container is filled with 125 cm3 of mercury at a temperature of 20 °C. The average coefficient of expansion of the mercury is 180 × 10−6 °C−1, and the coefficient of linear expansion of the glass is 9 × 10−6 °C−1. Find the volume of mercury spilled out when the temperature rises to 28 °C.
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