Obtain an expression for the variation of the density of a solid … - Vidyadip

Question

Obtain an expression for the variation of the density of a solid with temperature.
Answer:

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Answer

Density, $\rho=\frac{\text { mass }}{\text { volume }}$
$
\begin{aligned}
& \therefore \rho_1=\frac{\text { mass }}{V_1} \text { and } \rho_2=\frac{\text { mass }}{V_2} \\
& \therefore \frac{\rho_1}{\rho_2}=\frac{V_2}{V_1}=1+\beta \Delta T \therefore \rho_2=\frac{\rho_1}{1+\beta \Delta T}
\end{aligned}
$As the temperature increases, density decreases.

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