Derive the expression for flux and mass transfer coefficient in the case of steady-state diffusion of A through non-diffusing B in gases and liquids.
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We are dealing with steady-state diffusion of component A through a stagnant or non-diffusing component B. This is a common scenario in gas and liquid systems where one component is in excess and does not move. Show more…
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At constant volume and temperature conditions, the rates of diffusion $D_{A}$ and $D_{B}$ of gases $A$ and $B$ having densities $\rho_{A}$ and $\rho_{B}$ are related by the expression: (a) $\mathrm{D}_{\mathrm{A}}=\left[\mathrm{D}_{\mathrm{B}} \rho_{A} / \rho_{\mathrm{B}}\right]^{1 / 2}$ (b) $\mathrm{D}_{\mathrm{A}}=\left[\mathrm{D}_{\mathrm{B}} \rho_{\mathrm{B}} / \rho_{\mathrm{A}}\right]^{1 / 2}$ (c) $\mathrm{D}_{\mathrm{A}}=\mathrm{D}_{\mathrm{B}}\left[\rho_{A} / \rho_{\mathrm{B}}\right]^{1 / 2}$ (d) $\mathrm{D}_{\mathrm{A}}=\mathrm{D}_{\mathrm{B}}\left[\rho_{\mathrm{B}} / \rho_{\mathrm{A}}\right]^{1 / 2}$
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Derive an expression for the isothermal compressibility of a substance whose equation of state is $$P=\frac{R T}{v-b}-\frac{a}{v(v+b) T^{1 / 2}}$$.where $a$ and $b$ are empirical constants.
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