This problem is adapted from M. Modell and R. C. Reid, Thermodynamics and Its Applications, Prentice-Hall, Englewood Cliffs, NJ, 1974, with permission. A dimerization reaction of type 2A ? B is being...

This problem is adapted from M. Modell and R. C. Reid, Thermodynamics and Its Applications, Prentice-Hall, Englewood Cliffs, NJ, 1974, with permission. A dimerization reaction of type 2A ? B is being studied in a continuous flow reactor at 200 and 10.13 MPa. The reactor is sufficiently large that equilibrium is achieved at the exit to link the reactor to a low-pressure (101.3 kPa) the rmalconductivity meter. As the gas sample passes at steady state through this cracked sampling value, it undergoes a decrease in temperature to 100 . The conductivity reading corresponds to gas-phase mole fractions of A and B of 0.55 and 0.45, respectively. Determine the relationship between the composition of gases leaving the reactor at 200°C and 10.13 MPa and the composition corresponding to the reading of the conductivity cell. In particular, you should use the experimental data and the thermochemical properties listed below to: (a) Calculate the high pressure effluent composition corresponding to the measured composition of the sample at low pressure. (b) Assess whether or not the low-pressure gas sample is at, far from, or near chemical reaction equilibrium. (Provide quantitative evidence to support your position.) At 200 the standard enthalpy of reaction is 29.31 kJ/mol of species B formed. The heat capacities at constant pressure for species B and A are 58.62 and 29.31 J/(mol.K), respectively. Over the pressure and temperature range of interest, these heat capacities are independent of both temperature and pressure. The gaseous mixture may be treated as an ideal gas at all temperatures, pressures, and compositions. There are no heat losses from the sampling line or across the sampling value.