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The experimental data obtained from batch adsorption studies performed earlier were analyzed using the thermodynamic equations as expressed by Eqs.
The equilibrium dissociation constant (Kd), the binding free energy (ΔG), and the binding entropy (ΔS) were calculated using the thermodynamic equations: K d = 1 K a. Δ G = Δ H − T Δ S = − R T ln (K a ).
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Pure gas densities are uniquely correlated with the experimentally measured pressure and temperature using the thermodynamic equation of states of real gases.
From the obtained values of ΔG ads 0 and ΔH ads 0 parameters, the standard adsorption entropy (ΔS ads 0 ) can be calculated using the thermodynamic Gibbs–Helmholtz equation: Delta S_{text{ads}}^{ 0} = frac{{Delta H_{text{ads}}^{ 0} - Delta G_{text{ads}}^{ 0} }}{T} (10).
So, the escape energy dependent on temperature can be obtained by using the related thermodynamic equations and the Gibbs free energy which can be obtained by using the known vapor pressure data dependent on temperature.
Entropy of adsorption and enthalpy of adsorption process can be calculated using the following thermodynamic equation: Delta G^{o}_{text{ads}} = Delta H^{o}_{text{ads}} - TDelta S^{o}_{text{ads}} (8).
Even though the melting point and latent heat of fusion are dependent upon the particle size, the alloying effect on the solid-liquid transition temperature can still be discussed using the classical thermodynamic equation given below [44].
Using the following equations thermodynamic parameters such as change in free energy (∆G°), enthalpy (∆H°) and entropy (∆S°) were determined (Romero-Gonzalez et al. 2006).
In this study a computational procedure for the computation of Joule Thomson coefficient of natural gas has been developed using fundamental thermodynamic equations and AGA-8 equation of state, and then the minimum possible temperature of the natural gas entering to the pressure regulator of city gate stations (CGS) is calculated.
The fraction of each metal-chloride compound was calculated as a function of environmental chloride concentration using the relevant thermodynamic equilibrium equations and β values, finding the concentration of each compound by factoring the solubility product of sodium chloride into the equilibrium.
Internal wave-induced background diapycnal mixing (DM) in the upper 2000 m of the global ocean, which primarily depends on the local inertial frequency, is calculated based on Argo observations using the newly published Thermodynamic Equation of Seawater-2010 (IOC, SCOR and IAPSO, 2010).
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