Determine Determine the contents of the reactor at equilibrium at 400 K, using the assumption that A and B form ideal solutions in the liquid phase.
A vessel initially contains 10 moles of pure liquid A at P=5 atm and T=400 K. The following reaction occurs isothermally and isobarically until equilibrium is achieved:
A ?2B
Thermochemical data on the two compounds in the liquid phase is presented in the following table. Values of G and H were obtained with a reference pressure of 1 bar:
Apply equilibrium relationship between K_T and the mixture fugacities of the compounds:
Where f ?_A=??_A x?_A f_A and f ?_B=??_B x?_B f_B are the mixture fugacities of A and B respectively, and f_A^0 and f_B^0 are the pure component fugacities of A and B respectively in their reference states (P = 100 kPa), and v_A and v_B are the stoichiometric coefficients of compounds A and B respectively. Since the liquid is being modeled as an ideal solution, the activity coefficients in each mixture fugacity expression are equal to 1:
Apply Poynting correction to liquid fugacities:
Substitute Poynting corrections into equilibrium relationship (this result also demonstrates that an assumption that the Poynting correction factor is negligible would be justified):
Substitute Poynting corrections into equilibrium relationship (this result also demonstrates that an assumption that the Poynting correction factor is negligible would be justified):
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