Thermometry and Thermal Expansion
4.0 Variation of Density with Temperature
4.0 Variation of Density with Temperature
$$\begin{equation} \begin{aligned} {V_0}{\rho _0} = {V_t}{\rho _t} = a \\ \frac{{{\rho _t}}}{{{\rho _0}}} = \frac{{{V_0}}}{{{V_t}}} = \frac{1}{{\left[ {1 + \gamma \Delta \theta } \right]}} \\ {\rho _t} = {\rho _0}{\left[ {1 + \gamma \Delta \theta } \right]^{ - 1}} \\ {\rho _t} = {\rho _0}\left[ {1 - \gamma \Delta \theta } \right] \\\end{aligned} \end{equation} $$