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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 `45^circ`. The intercept on the log `(x / m)` axis was found to be `0.3010` .' Calculate thei amount of the gas adsorbed per gram of charcoal undér a pressure of 0.5 atm.

A

2.5

B

1.2

C

3.1

D

1

Text Solution

Verified by Experts

The correct Answer is:
D

According to the Freundlich equation.
`(x)/(m) =kp^(1//n)` or `log (x)/(m)=log k+(1)/(n) log p`
Thus `(1)/(n) = tan theta = tan 45^(@)=1` or n=1
log k=0.3010 or k =antilog 0.3010 =2 M
At `p_(1) =0.5` atm, `(X)/(m) =kp^(1//n)=2xx(0.5)^(1)=1.0`
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