The hydrolysis of the sugar sucrose to the sugars glucose and fructose can be described as follows. C12H22O11 + H2O → C6H12O6 + C6H12O6 This reaction follows a first-order rate equation for the disappearance of sucrose: rate = k [C12H22O11] (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 ✕ 10−11 s−1 at 26°C and 8.5 ✕ 10−11 s−1 at 37°C. Determine the activation energy (in kJ/mol), the frequency factor (in s−1), and the rate constant (in s−1) for this equation at 48°C (assuming the kinetics remain consistent with the Arrhenius equation at this temperature). (Enter unrounded values.)   FREQUENCY FACTOR??_________ RATE CONSTANT?? _________       (b) When a solution of sucrose with an initial concentration of 0.130 M reaches equilibrium, the concentration of sucrose is 1.40 ✕ 10−7 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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The hydrolysis of the sugar sucrose to the sugars glucose and fructose can be described as follows.
C12H22O11 + H2O → C6H12O6 + C6H12O6
This reaction follows a first-order rate equation for the disappearance of sucrose: rate = k [C12H22O11] (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 ✕ 10−11 s−1 at 26°C and 8.5 ✕ 10−11 s−1 at 37°C. Determine the activation energy (in kJ/mol), the frequency factor (in s−1), and the rate constant (in s−1) for this equation at 48°C (assuming the kinetics remain consistent with the Arrhenius equation at this temperature). (Enter unrounded values.)
 
FREQUENCY FACTOR??_________
RATE CONSTANT?? _________
 
 
 
(b)
When a solution of sucrose with an initial concentration of 0.130 M reaches equilibrium, the concentration of sucrose is 1.40 ✕ 10−7 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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