# Expansion of Pipes and Spheres Given the Coefficient of Linear Expansion

P7 Solve problems involving expansion.

Task 1: A steam pipe has a length of 20 m at 20 degrees C. If the coefficient of linear expansion is 0.000012 /K. How much expansion will have to be allowed for when the steam increases the temperature of the pipe to 300Â°C?

Task 2: A copper sphere has a diameter of 40 mm at 0 degrees C. If the coefficient of linear expansion is 0.000017 /K, by how much will its volume increase when the temperature is raised to 100 degrees C?

The volume of a sphere is given by V=4/3 pi r^3

https://brainmass.com/math/linear-algebra/expansion-pipes-spheres-coefficient-linear-expansion-42746

#### Solution Preview

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Linear dimensions (e.g. length, diameter) for most substances increase as the temperature increases. To a first approximation, the increase in a linear dimension is ...

#### Solution Summary

The Expansion of Pipes and Spheres Given the Coefficient of Linear Expansion is investigated.