Chem390_solution_9 - Solution to PS9 Problem 1 (a) We...

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Unformatted text preview: Solution to PS9 Problem 1 (a) We assume that both I and I2 are in the electronic ground state. g I 4; m I 126.9 ! 10 " 3 # kg mol NA . constJSI; V o RT0 ! 1bar " # mol . constJSI; q I # T $ $ Simplify % g I # V o # 2 #% m I # kBT h 2 3 2 . constSI . meter & 1 & 2.44059 10 28 T K 3 2 g I2 1; D # I2 148.8 # kJ mol .constJSI; m I2 2 ! 126.9 ! 10 " 3 # kg mol NA . constJSI; ' rotI2 0.0537K; ' vibI2 308 # K; q I2 # T $ $ Simplify % g I2 # D # I2 ' R ' T V o # 2 #% m I2 # kBT h 2 3 2 # T 2 #' rotI2 # 1 1 " "' vibI2 ' T . constJSI . J & kg ! meter s " ^2 . meter & 1 & 1.60685 10 29 ! 18 204.4 K T ! T K " 5 2 " 1. #! 308K T K p2 # ItoI2 # T $ $ 1 # molNA # ! q I # T $" 2 q I2 # T $ . constJSI . K & 1 2.23236 10 51 ! " 18204.4 T ! " 1. #! 308 T " T (b)Plots of Kp and ln[Kp] vs T and 1/T. plot1 ListPlotTable ) T,K p2 # ItoI2 # T $* , T,500,2000,100 ,- ,AxesLabel & "T","Kp" ,- ; plot2 PlotK p2 # ItoI2 # T $ , T,500,2000 , ,AxesLabel & "T","Kp" , ,PlotRange ") Full- ; Show # plot1,plot2 $ 800 1000 1200 1400 1600 1800 2000 T 5. 10 47 1. 10 48 1.5 10 48 Kp plot3...
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Chem390_solution_9 - Solution to PS9 Problem 1 (a) We...

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