Ruthven and Kaul [Ind. Eng. Chem. Res., 32, 2047–2052 (1993)] measured adsorption isotherms for a series of gaseous aromatic hydrocarbons on well-defined crystals of NaX zeolite over ranges of temperature and pressure. For 1,2,3,5-tetramethylbenzene at 547 K, the following equilibrium data were obtained with a vacuum microbalance:

Obtain a best fit of the data to the linear, Freundlich, and Langmuir isotherms, with q in mol/g and pressure in atm. Which isotherm gives the best fit?

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9, wt% P, torr 7.0 9.1 10.3 0.012 0.027 0.043 10.8 0.070 11.1 0.094 11.5 0.147