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(g) Mass average velocity, in [um/s]: and molar average velocity, also in [um/s]: (f) Velocity, in [um/s], of CO2: and of N2: Situation: The two

(g) Mass average velocity, in [um/s]:
and molar average velocity, also in [um/s]:
(f) Velocity, in [um/s], of CO2:
and of N2:
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image text in transcribed
Situation: The two identical tanks shown in the Figure are initially filled with pure CO2 (vessel 1) and N2 (vessel 2) at 45 [C] and 350 [kPa]. After a valve in the center (not shown) is opened, molecular diffusion takes place at constant P and T due to the difference in concentrations. The connecting tube is 68 (cm) long and has an internal diameter of 8 [mm]. Assume that the tanks are large compared to the tube dimensions so that the diffusion occurs in a pseudo steady state. That means that diffusion rates in the tube are given by steady-state equations although the concentrations in the tanks vary (very slowly). The STP (273.15 [K] and 1 [atm]) binary diffusivity is 0.144 [cm2/s). Assume that the diffusivity is proportional to the temperature risen to the power 1.8 and inversely proportional to the pressure. Also, assume when pertinent that the positive direction is from left to right. L 1 2 d CO2 N2 After a few hours, the mole fraction of CO2 in vessel 1 reaches a value of 70%. Assume linear mole fraction profiles. The remaining questions refer to that point in time. Make sure you use the correct sign for your answer when appropriate. If any answer depends on the axial position in the tube, report your answer at the tube midpoint. Please, write the best value for the: (c) Mole fraction of nitrogen in vessel 2: 0.70 (d) Rate of diffusion of CO2, in (mmol/h]: 0.07704 (e) Rate of diffusion of N2, in [mmol/h]: -0.07704

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