1) The reaction between sucrose and water to produce fructose and glucose is fir

Question

1) The reaction between sucrose and water to produce fructose and glucose is first order overall. The data below shows the change in concentration of sucrose over time at 298 K. Time (min) 0.0 60.0 130.0 a. Find the rate of disappearance of C12H201 fromt 0 min tot - 60 min. 1.002 0.808 0.630 b. Find the rate of appearance of fructose from t0 min to t 60 min. c. Calculate the rate constant for the decomposition of sucrose at 25 °C Include units. d. How long will t take for the concentration of sucrose to drop from 1.002 hfo h compoin of sucrose a 35 C7 to 0.212 MMn

Explanation / Answer

(a)

Rate of appearance of sucrose = - d[C12H22O11] / dt = - ( 0.808 - 1.002 ) / ( 60.0 - 0.0) = 0.00323 M/s

(b)

Rate of appearance of fructose = d[C6H12O6] / dt = (1.002 - 0.808) / (60.0 - 0.0) = 0.00323 M/s

(c)

k = (1 / t ) * ln[A]/[A]t

k = ( 1 / 60.0 ) * ln[1.002 / 0.808]

k = 0.00359 min-1

(d)

0.00359 = ( 1 / t ) * ln[1.002 / 0.212]

t = 432.6 min

(e)

Half life time = 0.693 / k = 0.693 / 0.00359 = 193 min

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