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GATE 2020 BT – Question 30

Fundamentals of Biological Engineering · Downstream Processing: Filtration, centrifugation, cell disruption, chromatography, extraction, adsorption and drying · 1 mark · Numerical answer

Solvents A and B are completely immiscible. Solute S dissolves in both; 100 g S is added to 2 kg each of A and B. It is 1.5 times more soluble in A than in B. After thorough agitation and equilibrium, all S is dissolved. Find grams of S in phase A.

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Correct answer: 60 to 60

Explanation

With equal solvent masses, the equilibrium concentration ratio gives the same solute-mass ratio: $m_A/m_B=1.5$. Conservation gives $m_A+m_B=100$ g. Hence $2.5m_B=100$, so mB = 40 g and mA = 60 g.

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