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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

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According to Freundlich equation, `x/m =k P^(1//) or log ""(x)/(m)=log k+1/n log P`
`therefore` Plot of `x/m` varsus log P is linear with slope `=1/n` and intercept `=log k.` Thus,
`1/n = tna theta = tan 45^(@)=1 or n=1`
`log k =0.3010 or k= "Antilig" 0.3010=2`
At `P =0.5 atm, x/m =k P^(1//n)=2xx(0.5)^(1)=1.0`
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