ENGR263 2024 Q A2Past paperOld spec ENGR2632:125 marks30 min

ENGR263 Process Transfer of Mass 2024 Q A2[VALID] official answers

Answer ALL parts (a) - (b).

Formulas you may need
  • Multicomponent mixture 1D1,mix=∑j≠1yj′D1j\dfrac{1}{D_{1,mix}} = \sum_{j \ne 1}\dfrac{y'_j}{D_{1j}}, yj′=yj∑j≠1yjy'_j = \dfrac{y_j}{\sum_{j \ne 1}y_j} (on the formula sheet)
  • DAB,T2,P2=DAB,T1,P1(P1P2)(T2T1)3/2ΩD,T1ΩD,T2D_{AB,T_2,P_2} = D_{AB,T_1,P_1}\left(\dfrac{P_1}{P_2}\right)\left(\dfrac{T_2}{T_1}\right)^{3/2}\dfrac{\Omega_{D,T_1}}{\Omega_{D,T_2}} (on the formula sheet)
  • Flux with bulk flow NA=−cDABdxAdz+xA(NA+NB)N_A = -cD_{AB}\dfrac{dx_A}{dz} + x_A(N_A + N_B); total concentration c=ρ/Mavec = \rho/M_{ave} (on the formula sheet)
  • Non-diffusing B in a liquid film: NA=DABcavzln⁡1−xA21−xA1=DABcavz xBM(xA1−xA2)N_A = \dfrac{D_{AB}c_{av}}{z}\ln\dfrac{1 - x_{A2}}{1 - x_{A1}} = \dfrac{D_{AB}c_{av}}{z\,x_{BM}}(x_{A1} - x_{A2}) (learn this)
  1. (a)
    Calculate the diffusion coefficient of ammonia (NH3_3) in a mixture with the following composition: yN2=0.7y_{N_2} = 0.7, yO2=0.1y_{O_2} = 0.1 and yNH3=0.2y_{NH_3} = 0.2. The mixture is at 150∘C150^\circ\mathrm{C} and 2 bar. The following data are provided for T=293T = 293 K and P=1P = 1 bar: DN2−NH3=2.441×10−5 m2/sD_{N_2-NH_3} = 2.441 \times 10^{-5}\ \mathrm{m^2/s} and DO2−NH3=2.563×10−5 m2/sD_{O_2-NH_3} = 2.563 \times 10^{-5}\ \mathrm{m^2/s}.
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  2. (b)
    A very thin film of ethanol (A)-water (B) solution, with thickness of 0.4 cm, is at temperature of 20∘C20^\circ\mathrm{C} and one surface of the film is in contact with an organic liquid where the water is insoluble. The ethanol concentration in the interface with the organic liquid is 6.8% w/w and in the other side of the film is 16.8% w/w, with densities of 0.9881 g/cm30.9881\ \mathrm{g/cm^3} and 0.9712 g/cm30.9712\ \mathrm{g/cm^3} respectively. If the diffusion coefficient of the ethanol in the organic liquid is 0.74×10−5 cm2/s0.74 \times 10^{-5}\ \mathrm{cm^2/s}, then calculate in the steady state conditions the flux NAN_A. The molecular weights of ethanol and water are MA=46.05M_A = 46.05 and MB=18.02M_B = 18.02 g/mol respectively.
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