Problem 1 (15 points) Two processes are proposed to generate the vapors of some hydrocarbon solution at 75 bar 1. Vaporize hydrocarbon at 1.0 bar fopt 90C ) and compress (single stage) the steam at 7 : bar. 2. Pump hydrocarbon solution to 75 bar followed by vaporization. a) Calculate the work and heating duty required for the two alternatives. b) Draw a simple flow diagram for the two alhernatives showing T and P for each stream. Assumptions and Variables: - Flow basis: 1kg/hr - Feed condition: P=1 bar, T=25C - Heat capacity, Cp=3.5kJ/kgC - Latent heat of vaporization =1980kJ/kg - Mol.wt of Hydrocarbon. =22kg/kmol - =Cp/Cv (vapor phase) =1.344 - Density at 25C=997kg/m3 - R=8.314kJ/kmolK - Boiling Point of hydrocarbon solution at 75 bar 290C - Compressor and pump have 100% efficiency (=100%) - Pressure drop across vaporizer is negligible - Temperature increase across the pump is negligible Equations: q(hrki)=CpTwcemp(kkmolk)=RTin1[(PinPout)11]Teut(K)=Tin[(PinPout)Y1]wmamp(hrk])=0.1[Flow(kg)][P(bar)]