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Introduction to Chemical Engineering and Thermodynamics
Express the volume expansivity and the isothermal compressibility as functions of density $\rho$ and its partialderivatives.For water at $323.15 \mathrm{K}\left(50^{\circ} \mathrm{C}\right)$ and 1 bar, $\mathrm{K}=44.18 \times 10^{-6}$ bar $^{-1}$. To what pressure must water be compressed at $323.15 \mathrm{K}\left(50^{\circ} \mathrm{C}\right)$ to change its density by $1 \%$ ? Assume that $\kappa$ is independent of $\mathbf{P}$.