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In an adsorption experiment, a graph bet...

In an adsorption experiment, a graph between log `(x/m)` versus log `P` was found to be linear with a slope of `45^(@)` . The intercept on the log `(x/m)` axis was found to be `0.3010` . Calculate the amount of the gas adsorbed per gram of charcoal under a pressure of `0.5` atm` .

Text Solution

Verified by Experts

According to Freundlich adsorption isotherm,
`x/m = kp^(1//n)`
or `log""(x)/m =log k + 1/n logP`
Plot of `log""((x)/m)` vs log P is linear with slope `= 1/n` and intercept = log k . Thus,
Slope `= 1/n = tan 45^@ = 1`
`:.n = 1`
Intercept log k = 0.3010
or `k = 2`
`x/m = kP^(1//n)`
`= 2 xx(0.5)^1 = 1.0`
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