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Q.

For the adsorption of a substance A from aqueous solution by charcoal at 25°C, the Freundlich constants are n = 3.0 and k = 0.50  ( for xm in g per g and C in gL−1 ) . What weight of A will be adsorbed by 2 g of charcoal from 1 L of a solution containing 2 g of the substance?

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Detailed Solution

By Freundlich's adsorption isotherm for adsorption of solution on a solid surface, xm=k(C)1nxm=0.50(C)13Let solute adsorbed = x gthen equilibrium concentration = (2 - x)g ∴ x2=0.50(2−x)13 ∴       x=1(2−x)13 ∴        x3=(2−x) ∴        x3+x−2=0 Thus, x = 1g
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