Adsorption of benzene onto activated carbon has been reported to obey the following Freundlich isotherm equation, where c is in
mg/L and q is in mg/g:

qbens = 50.1 cben^0.533
A solution at 25°C containing 0.50 mg/L benzene is to be treated
in a batch process to reduce the concentration to less than
0.01 mg/L. The adsorbent is activated carbon with a specific
surface area of 650 m2/g.
Compute the required activated carbon dose.

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answer : third trial had the contaminated sample and the correct value for dhrxn should be 1000 kj/mol

explanation :

let us write down the given equations

equation 1 :

equation 2 :

equation 3 :

let us use hess's law to find out which 2 equations can be added to get the third equation.

let us reverse equation 2 and multiply it by 2. the new equation that we get is,

equation 4 :

let us add equation 1 & 4

the above equation is similar to equation 3 but has different value for dhrxn.

therefore third trial had the contaminated sample and the correct value for dhrxn should be 1000 kj/mol