Question

The stream "1" consisting of yP1 mole % propane and yEl mole % ethane is blended with the stream "2" containing propane alone and the stream "3"containing nitrogen alone in a mixer in order to produce a gas mixture at Qp inch'/hr. The gas mixture produced with the streams "I". "2", and "3" contains xPP mass % propane, XEP mas % ethane, and XNP mass % nitrogen. The pressure and temperature of the product stream are PtPpsig and TP®F, respectively. These gases follow the ideal gas law. The barometric pressure (atmospheric pressure) is Pat bar. 1. Sketch the problem according to its description. 2. Identify the molecular weights of propane, ethane, and nitrogen 3. Calculate the molar flow rate of the product stream in g-mole/hr. 4. Find the molar flow rates of the streams 1, 2, and 3 in g-mole /hr. 5. Find the partial pressures of propane in the product stream in psia. 6. Calculate the density of the product stream in g/liter, using the ideal gas law. 7. Calculate the mass flow rate of ethane in the product stream in kg/s. Problem 2. The ethane stream is fed into a reactor at the temperature of TE K and the pressure of 53 atm absolute. The molar volume of ethane fed to the reactor is determined with the SRK equation of state. Estimate the parameters of a, b and a for the SRK equation of state and indicate their dimensional units to determine the molar volume of propane in ft/b-mole and the pressure of ethane in atm.

Answer 1

2 molecctar weight of Propane (C3H) = 12.07x3 CI.00 784)8 4L4.27 9/mo ) molecular weight ofF ethane C2H6 - (12.07 x 2)+ (.00784 x6)30.18 g/mol Molecular weight of nitrogen (N2) 2 14 .007) 28.014 mmo

stream2 XP2-100 Product strram1 mixer GP4119 i3 yf, =18.1 mol XPp - 32.S8 mass . JE 81.9 mol 43.44 EP stream3 XN3L00 XNP -23.98 -1 calculated as, 6 Density f Praduct can be PMavs RT where eav Avesae molecular eight Mi-Mlecular weight of componant Yi-mole Fraction ot componant Assume, 100 3m of Praduct .. PYoduct contains 32.58 gm Propane E+hane 443.44 9m = 23 .१४ ० contain in Product, Mole Prodane 32-58 9) - 0.73 mo 44.27 9 mol Ehane 30.18 9mImol 2 ১.৭৪ 9) =O.85 mo 28.014 3imel

. TGtal moles lo.73 + 1.43 40.8s) mol = 3.01 mol 3a1e Fraction ot product YPF- PTD pane O73 O.24 3.01 EPEthane I43 3.0 0.475 0.85 N2 O285 3.01 Mava 44.27 24)+ (3o8x .47) 28. 014x0. 281) 32.94 /mo R Gas constant = 0.082 it-atmmol.k TITP 312 428.70 K (f -32)+273 15= K P 30.8 Psig = 30.8 Psixlatm 14.696 Psi = 2 .09 a tm . 2.cg 9tm 32.94 9m1m 0.082 1it-aYm M61-K -1.45 m 428 70 Lit Given, GP 4119 ih 4119 i 1 t 61.024 in hT P 67.49 it/ M6lar Flow rate of Produ ct stream 67.491ikI A5 t 32.94 T/mo1 Maua -3.49 mol

4) forx N2 Appy Mole balance N2 0ut np.NP &N AN 3= B& np.JNP 3.११ 0) 1 aN= G3 1.137 mollbr balante for ethane Apply mole JEI XG HEP P G 0.4 753.94 mollh 2.314 mol/ O.819 2(3.99- 2.314 137) mol = 0.531 5) Partial pressure of Pr=9Pp x PiP 0. 24x30 8 Psi - 7.342 Psig Psia- Psia at mospberic presse Given, at press -e93228pai \atm= 14.69 Psi Pp-(9342 ta 0g3 7.392 Psi 14.69 PS) 22.682 Psi

7) Mole Flow of ethane PxyEP ne = 3.99 6.475 8952 mol mass flow rate =Mole flow moleculaY wt 8952 moX X 30.18 S7.19 - 57.19メ10 hイ Kg 3600 se c .0IS8X10 1K9 11 Sec