(T, = (T, (1.-2) PA) PB) The fugacity is a thermodynamic function defined by = = f(T, P) Pexp Pexp where is the molar Gibbs free energy and is the molar Gibbs free energy as G(T, P) GIG(T, P) the fluid approached ideal gas state. The water fugacities at states (T, and (T, are then PA) PB) ln = ln = Since > PA PB ln = + ln = ln + is the molar volume of water, an incompressible liquid V ln = ln + ln ln = ln+ = exp From the equality of fugacity, equation (1.-2) (T, = (T, we have PA) PB), (T, exp = (T, PB) PB) Since (T, = (T, = pure water fugacity PB) PB) = exp The osmotic pressure is then = = ln (1.-3) PA PB For an ideal aqueous solution at 298oK with = 0.98, W = 1, the osmotic pressure is xW = = ln(xW) PA PB = ln(0.98) = 27.8 bar
(T, PA) = (T, PB) (1.-2) The fugacity is a thermodynamic function defined by f(T, P) = Pexp = Pexp where G(T, P) is the molar Gibbs free energy and GIG(T, P) is the molar Gibbs free energy as the fluid approached ideal gas state. The water fugacities at states (T, PA) and (T, PB) are then ln = ln = Since PA > PB ln = + ln = ln + V is the molar volume of water, an incompressible liquid ln = ln + ln ln = ln+ = exp From the equality of fugacity, equation (1.-2) (T, PA) = (T, PB), we have (T, PB) exp = (T, PB) Since (T, PB) = (T, PB) = pure water fugacity = exp The osmotic pressure is then = PA PB = ln (1.-3) For an ideal aqueous solution at 298oK with xW = 0.98, W = 1, the osmotic pressure is = PA PB = ln(xW) = ln(0.98) = 27.8 bar
Diffusion%20of%20solvent%20through%20a%20membrane.docx