Question

A silver plate has an area of 800 mm’ at 15 °C. Determine the increase inthe area of the plate when the temperature is raised to 100 °C.

Answer 1

Given,

The area of the silver plate, A=800 m²

The change in the temperature, ΔT=100 °C-15 °C=85 °C=85 K

The area thermal expansion coefficient of silver is α=19×10⁻⁶ K⁻¹

The thermal expansion in the area is given by,

`\Delta A=2\alpha A*\Delta T`

On substituting the known values,

`\begin{gathered} \Delta A=2*19*10^(-6)*800*(85) \\ =2.58\text{ m}^2 \end{gathered}`

Thus the increase in the area of the given silver plate is 2.58 m²