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Question

Plot of log (x/m) against log P is a straight line inclined at an angle of 45. When the pressure is 0.5 atm and the proportionality constant in Freundlich's equation is 10, the amount of solute per gram of adsorbent will be:

A
1 g
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B
2 g
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C
3 g
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D
5 g
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Solution

The correct option is D 5 g
According to Freundlich adsorption isotherm,
xm=kP1n
log(xm)=logk+1nlogP
Since it is a straight line,
Slope= tan45o=1n
n=1
Given, when the pressure is 0.5 atm and Freundlich parameter is 10, So
xm=10(0.5)1
xm=5 g
Therefore the amount of solute per gram of adsorbent will be 5 g.

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