A supercritical fluid X is used as a solvent. The critical point is T=500 K and P=200 bar, so the process must be carried out at exceedingly high temperatures and pressures. At the end of the process, a turbine is used to return the supercritical fluid to lower pressures. It enters the turbine at T=550 K and P=300 bar and leaves the turbine at T=300 K and P=1 bar. This equation of state can be used to model the supercritical fluid at the conditions we are examining in this problem: Z = 1 + DPT Where b= 1.5 x 10-6 bar-1K-1 The ideal gas heat capacity is Cp*=5R, and can be considered constant, and the acentric factor is w=0.4. 1. Estimate the change in molar enthalpy the compound X experiences when it goes through the turbine, using the equation of state above. 2. If you were going to use the Peng Robinson equation to model X at T=550 K, what values of the parameters a and b would you use? 3. Another solvent Y is geometrically and structurally similar to X. Y has critical temperature of 425 K and critical pressure of 150 bar, and no other data for Y is available. What is your best estimate of the constant b for compound Y in the equation of state Z = 1 + bPT? A supercritical fluid X is used as a solvent. The critical point is T=500 K and P=200 bar, so the process must be carried out at exceedingly high temperatures and pressures. At the end of the process, a turbine is used to return the supercritical fluid to lower pressures. It enters the turbine at T=550 K and P=300 bar and leaves the turbine at T=300 K and P=1 bar. This equation of state can be used to model the supercritical fluid at the conditions we are examining in this problem: Z = 1 + DPT Where b= 1.5 x 10-6 bar-1K-1 The ideal gas heat capacity is Cp*=5R, and can be considered constant, and the acentric factor is w=0.4. 1. Estimate the change in molar enthalpy the compound X experiences when it goes through the turbine, using the equation of state above. 2. If you were going to use the Peng Robinson equation to model X at T=550 K, what values of the parameters a and b would you use? 3. Another solvent Y is geometrically and structurally similar to X. Y has critical temperature of 425 K and critical pressure of 150 bar, and no other data for Y is available. What is your best estimate of the constant b for compound Y in the equation of state Z = 1 + bPT