Project ForgeMass Transfer
Mass Transfer Operations
GATE 2015
Hard
Steady-state mass transfer between well-mixed liquid (xA=0.36) and vapor (yA=0.16) phases; kx=0.1, ky=0.05 mol/m²·s. Equilibrium: yA*=2xA (xA<0.4). The mole fraction of A in the liquid at the interface, rounded to 2 decimal places, is
0.22(± 0.02 accepted)
Explanation
Flux continuity: kx(xA−xAi)=ky(yAi−yA), with yAi=2xAi. 0.1(0.36−xAi)=0.05(2xAi−0.16) ⟹ 0.036−0.1xAi=0.1xAi−0.008 ⟹ xAi=0.22.
Source: GATE CH 2015 (2015)
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