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3. Sucrose decomposes in aqueous solution into a mixture of two sugars, glucose and fructose. C„H,„0, (aq) + H,0(1) I C,H,„O,(aq) + C,H,„O,(aq) The observed initial rates of decomposition of sucrose at two different initial sucrose concentrations at 25°C are: Rate ( M sec ") [Sucrose] 8.5 X 10 -3 1.71 X 102 0.1 0.2

3. Sucrose decomposes in aqueous solution into a mixture of two sugars, glucose and fructose. C„H,„0, (aq) + H,0(1) I C,H,„O,(aq) + C,H,„O,(aq) The observed initial rates of decomposition of sucrose at two different initial sucrose concentrations at 25°C are: Rate ( M sec ") [Sucrose] 8.5 X 10 -3 1.71 X 102 0.1 0.2

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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3. Sucrose decomposes in aqueous solution into a mixture of two sugars, glucose and fructose. C„H„0, (aq) + H,0(1) I C,H,,0,(aq) + C,H,„O,(aq) The observed initial rates of decomposition of sucrose at two different initial sucrose concentrations at 25°C are: Rate ( M sec ') [Sucrose] 0.1 8.5 X 10 -3 1.71 X 102 0.2 Find the dependence of the reaction rate on the concentration of sucrose and compute the rate constant for the reaction.
Transcribed Image Text:3. Sucrose decomposes in aqueous solution into a mixture of two sugars, glucose and fructose. C„H„0, (aq) + H,0(1) I C,H,,0,(aq) + C,H,„O,(aq) The observed initial rates of decomposition of sucrose at two different initial sucrose concentrations at 25°C are: Rate ( M sec ') [Sucrose] 0.1 8.5 X 10 -3 1.71 X 102 0.2 Find the dependence of the reaction rate on the concentration of sucrose and compute the rate constant for the reaction.
Expert Solution
Step 1
  • Reaction rate means speed of the reaction under given conditions.
  • Reaction rate depends on concentration by Van't Hoff Differential method (as follows):-

         r1r2=(c1c2)n

          where,

          r1 and r2 are the reaction rates at two different concentration values (c1 and c2 ).

          and, 'n' is the order of the reaction.

  • One can find the order of the reaction(n) from this reaction rate dependence on concentration.
  • Rate constant(K) is the ratio of the reaction rate and the concentration of reactants raise to their order for the reaction.

         K=r[reactant]n

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