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che359_sp10_hw7_solution - ChE 359 Homework#7 due Tuesday...

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Page 1 of 3 ChE 359 Homework #7 due Tuesday, April 1, 2010 at 2:30 pm 1. (15 points) You are adding a perfuming agent to a liquid aerosol spray. You want its vapor pressure to double if the temperature increases from 25 ˚C to 35 ˚C. Calculate the pair interaction energy w AA that the perfuming agent has in the pure liquid state. You can assume that the number of nearest neighbor molecules in the liquid is z = 6. Vapor pressure is given by ? = p 0 exp( 𝑧? 2 ?? ) , we want ? 2 ? 1 = exp 𝑧? 2 ? ( 1 ? 2 1 ? 1 ) = 2, ????𝑔 𝑧 = 6, ? = 2 ??? ??? 𝐾 , ?𝑒 ℎ??𝑒 𝑧? 2 ? ( 1 ? 2 1 ? 1 ) = ?? 2 ?ℎ?? ? = 2 ? ?? 2 𝑧 ( 1 ? 2 1 ? 1 ) = 2 2 ??? ??? 𝐾 ?? 2 6( 1 308 𝐾 1 298 𝐾 ) = 4.24 ???? ??? 2. (15 points) A fluid has a boiling temperature T = 300 K at p = 1 atm. The enthalpy of vaporization is h vap = 10 kcal/mol. Suppose you make a molecular modification of the fluid that adds a hydrogen bond, so that the new enthalpy of vaporization is h vap = 15 kcal/mol. What is the new boiling temperature? ? 1 ? 0 = exp( −∆ℎ ??? 1 ??
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