Problem 35.47 The unimolecular decomposition of urea in aqueous solution is meas
ID: 1068131 • Letter: P
Question
Problem 35.47
The unimolecular decomposition of urea in aqueous solution is measured at two different temperatures, and the following data are observed:
Part B
Determine the Arrhenius preexponential factor for this reaction.
Express your answer to one significant figure with the appropriate units.
Part D
Using the Arrhenius parameters, determine S‡ as described by the Eyring equation for trial 1.
Express your answer to one significant figure with the appropriate units.
Trial Number Temperature (C) k(s1) 1 62.0 1.52×107 2 72.5 4.92×107Explanation / Answer
A)
Apply Ahrrenius equation
Find Ea first
ln(K2/K1) = Ea/R*(1/T1-1/T2)
E = ln(K2/K1) * R / ( (1/T1-1/T2))
E = ln(4.92/1.52) * 8.314 / (1/(62+273) - 1/(72.5+273))
E = 107647.24
K = A*exp(E/(RT))
1.52*10^-7 = A*exp((-107647.24/(8.314*(62+273))
(1.52*10^-7 / (1.638*10^-17) = A
A = 9279609279.61 = 9.27*10^9
D)
find dS for trial 1
dS = dH/T
dS = 107647.24/(62+273) = 321.335J/molK
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