GATE 2020 CH – Question 39

Mass Transfer · Mass transfer theories and momentum, heat and mass transfer analogies · 2 marks · Multiple choice

Two-film absorption has gas-side interfacial coefficient 0.1 mol/(m² s), liquid-side coefficient 3 mol/(m² s), and equilibrium y* = 2x, with gas and liquid mole fractions y,x. Find the ratio of liquid-film resistance to total resistance.

0.0161
0.0322
0.0625
0.0645

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Correct answer: (C) 0.0625

Explanation

On a gas-mole-fraction driving-force basis, $1/K_y=1/k_y+m/k_x$, where equilibrium slope m = 2. Gas-film resistance is 1/0.1 = 10 and liquid contribution is 2/3. Their total is 32/3. The liquid fraction is $(2/3)/(32/3)=1/16=0.0625$, option C. Resistances must be converted to the same driving-force basis before taking the ratio.

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