In petroleum refineries, streams rich in alkylbenzenes and alkylnaphthalenes result from catalytic cracking operations. Such streams can be hydrodealkylated to more valuable products such as benzene and naphthalene. At 25oC, solid naphthalene (normal melting point = 80.3oC) has the following solubilities in various liquid solvents [Naphthalene, API Publication 707, Washington,DC (Oct. 1978)], including benzene:For each solvent, compute the activity coefficient of naphthalene in the liquid solvent phase using the following equations for the vapor pressure in tom of solid and liquid naphthalene: In Pssolid = 26.708 - 8,712/ T In Psliquid = 16.1426 - 3992.01/(T - 71.29) where T is inK.

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Mole Fraction Solvent Naphthalene Benzene 0.2946 Cyclohexane 0.1487 Carbon tetrachloride 0.2591 n-Hexane 0.1168 0.18 x 10-5 Water