Liquids and solids expand with increasing temperature because the kinetic energy of a body’s atoms and molecules increases. Explain why some materials shrink with increasing temperature.

Short Answer

Expert verified

The increase in density with a rise in temperature in some materials causes the shrinking of the material with increasing temperature.

Step by step solution

01

Conceptual Introduction

An object's kinetic energy is the energy it has as a result of its motion. It is the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body keeps its kinetic energy gained during acceleration unless its speed changes.

02

Describe the relationship between the expansion of material and temperature.

Liquids and solids expand with a rise in temperature. The volume or length of the material will undergo expansion with increasing temperature. The expanded length and volume are calculated as follows:

\(\begin{aligned}\Delta L &= \alpha L\Delta T\\\Delta V &= \beta V\Delta T\end{aligned}\)

Here, \(\Delta L\) is the change in length, \(\alpha \) is the coefficient of thermal expansion, \(L\) is the initial length and \(\Delta T\) is the change in temperature, \(\Delta V\) is the change in volume, \(\beta \) is the coefficient of volume expansion and \(V\) is the initial volume.

03

Explain the reason for the shrinking of the materials with increasing temperatures.

As temperature increases, the kinetic energy of the molecules in the material increases, which causes the material to expand. But there is an exception in the case of water at a certain range of temperature. The density of water increases as the temperature rises from \(0{\rm{ }}^\circ {\rm{C}}\) to \({\rm{4 }}^\circ {\rm{C}}\). That means the volume decreases with a rise in temperature. That is why some materials shrink when temperatures rise.

Therefore, with a rise in temperature, some materials shrink due to an increase in density with increasing temperature.

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