The hydrolysis of the sugar sucrose to the sugars glucose and fructose can be described as follows. C12H22011 + H,0 - C,H120, + C,H1206 This reaction follows a first-order rate equation for the disappearance of sucrose: rate - k [C,,H2,0,1 (The products of the reaction, glucose, and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules, I.e. they are Isomers.) (a) In neutral solution, k- 1.8 x 10"1 s at 26°C and 8.5 x10-" s- at 37°C. Determine the activation energy (in k)/mol), the frequency factor (in s"), and the rate constant (In s) for this equation Arrhenlus equation at this temperature). (Enter unrounded values.) 48°C (assuming the kinetics remain consistent with the activation energy 108 v k)/mol frequency factor s-1 rate constant x s1 (b) When a solution of sucrose with an Initial concentration of 0.130 M reaches equilibrium, the concentration of sucrose is 1.40x10- M. How long (In s) will it take the solution to reach equilibrlum at 26°C in the absence of a catalyst? Because the concentration of sucrose at equilbrium is so low, assume that the reaction is Irreversible. (Enter an unrounded value.)

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The hydrolysis of the sugar sucrose to the sugars glucose and fructose can be described as follows.
C12H22011 + H20 → C;H1206 + CgH1206
This reaction follows a first-order rate equation for the disappearance of sucrose: rate =
k [C,,H,,0,1] (The products of the reaction, glucose, and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules, i.e. they are
22
isomers.)
1.8x10-11
Arrhenius equation at this temperature). (Enter unrounded values.)
(a) In neutral solution, k
at 26°C and 8.5x10-11
-1
at 37°C. Determine the activation energy (in kJ/mol), the frequency factor (in s), and the rate constant (in s) for this equation at 48°C (assuming the kinetics remain consistent with the
activation energy
108
kJ/mol
frequency factor
rate constant
X s-1
(b) When a solution of sucrose with an initial concentration of 0.130 M reaches equilibrium, the concentration of sucrose is 1.40x10 M. How long (in s) will it take the solution to reach equilibrium at 26°C in the absence of a catalyst? Because the concentration of
sucrose at equilibrium is so low, assume that the reaction is irreversible. (Enter an unrounded value.)
Transcribed Image Text:The hydrolysis of the sugar sucrose to the sugars glucose and fructose can be described as follows. C12H22011 + H20 → C;H1206 + CgH1206 This reaction follows a first-order rate equation for the disappearance of sucrose: rate = k [C,,H,,0,1] (The products of the reaction, glucose, and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules, i.e. they are 22 isomers.) 1.8x10-11 Arrhenius equation at this temperature). (Enter unrounded values.) (a) In neutral solution, k at 26°C and 8.5x10-11 -1 at 37°C. Determine the activation energy (in kJ/mol), the frequency factor (in s), and the rate constant (in s) for this equation at 48°C (assuming the kinetics remain consistent with the activation energy 108 kJ/mol frequency factor rate constant X s-1 (b) When a solution of sucrose with an initial concentration of 0.130 M reaches equilibrium, the concentration of sucrose is 1.40x10 M. How long (in s) will it take the solution to reach equilibrium at 26°C in the absence of a catalyst? Because the concentration of sucrose at equilibrium is so low, assume that the reaction is irreversible. (Enter an unrounded value.)
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