Problem 3.7 below:
Because Mj is an intensive variable, it remains constant during the process, along with T and P. Perform the integration and express G2 and nja in terms of G1 and nji and B to complete the argument. (b) Show this same argument produces the following result for any partial molar property X = Xjni j in which X is any extensive thermodynamic property. = f. Exercise 3.7: Creating a second phase with reaction Consider the gas-phase reaction A+B=C ntane Product C has a fairly low vapor pressure, so we are concerned about the formation of a liquid phase in the reactor. The Clausius-Clapeyron equation well represents the vapor pressure of component C as a function of temperature AHvap In PC = C- RT d the bons The reactor is initially filled with an equimolar mixture of A and B. The equilibrium constant at T = 298 K is K = 8, the reaction is exothermic with AH = -10 kcal/mol, and the system pressure is P = 1.0 atm. Components A and B are not very soluble in liquid C. The heat of vaporization of component C is AHvap = 5 kcal/mol, and value of the Clausius-Clapeyron constant is c = 7.53. (a) Over what temperature range does the reactor contain a liquid phase? the ergy ing (b) If the reaction is endothermic with AH = 10 kcal/mol, over what temperature range does the reactor contain a liquid phase? Because Mj is an intensive variable, it remains constant during the process, along with T and P. Perform the integration and express G2 and nja in terms of G1 and nji and B to complete the argument. (b) Show this same argument produces the following result for any partial molar property X = Xjni j in which X is any extensive thermodynamic property. = f. Exercise 3.7: Creating a second phase with reaction Consider the gas-phase reaction A+B=C ntane Product C has a fairly low vapor pressure, so we are concerned about the formation of a liquid phase in the reactor. The Clausius-Clapeyron equation well represents the vapor pressure of component C as a function of temperature AHvap In PC = C- RT d the bons The reactor is initially filled with an equimolar mixture of A and B. The equilibrium constant at T = 298 K is K = 8, the reaction is exothermic with AH = -10 kcal/mol, and the system pressure is P = 1.0 atm. Components A and B are not very soluble in liquid C. The heat of vaporization of component C is AHvap = 5 kcal/mol, and value of the Clausius-Clapeyron constant is c = 7.53. (a) Over what temperature range does the reactor contain a liquid phase? the ergy ing (b) If the reaction is endothermic with AH = 10 kcal/mol, over what temperature range does the reactor contain a liquid phase
