Lactic acid (C3H6O3), a common byproduct in cheese plants, may be utilized to form 1,2propanediol (C3H8O2) via a gas-phase hydrogenation reaction C3H6O3+2H2C3H8O2+H2O Consider the case of a reactor used to convert lactic acid into 1,2-propanediol. The reactor feed is a 300mol/h vapor stream containing a C3H6O3:H2 : Inert molar ratio of 1:3:2. The equilibrium constant for the hydrogenation reaction (K) can be estimated by K=K0exp(RHrxn(T1T01))=yC3H6O3(yH2)2yC3H8O2yH2OPP0K0=exp(RT0Grxn) where T is temperature, P is pressure, yi is the gas phase mole fraction of species i,T0 is 298K, P0 is 1atm,Grxn is 283kJ/mol, and Hrxn is 694kJ/mol. A. If the reactor temperature and pressure are 500K and 5atm, respectively, what will be the fractional conversion of the lactic acid