Question 8: In a pseudo first order hydrolysis of ester in water, the following results were obtained:
| t/s |
0 |
30 |
60 |
90 |
|
[Ester]mol L - 1
|
0.55 |
0.31 |
0.17 |
0.085 |
(i) Calculate the average rate of reaction between the time interval 30 to 60 seconds.
(ii) Calculate the pseudo first order rate constant for the hydrolysis of ester.
Answer:
(i) Average rate of reaction between the time interval, 30 to 60 seconds, = d[ester] / dt
= (0.31-0.17) / (60-30)
= 0.14 / 30
= 4.67 × 10 - 3mol L - 1s - 1
(ii) For a pseudo first order reaction,
k = 2.303/ t log [R]º / [R]
For t= 30 s, k1 = 2.303/ 30 log 0.55 / 0.31
= 1.911 × 10 - 2s - 1
For t = 60 s, k2 = 2.303/ 60 log 0.55 / 0.17
= 1.957 × 10 - 2s - 1
For t= 90 s, k3 = 2.303/ 90 log 0.55 / 0.085
= 2.075 × 10 - 2s - 1
Then, average rate constant, k = k1 + k2+ k3 / 3
= 1.911 × 10 - 2 + 1.957 × 10 - 2 + 2.075 × 10 - 2 / 3
= 1.981 x 10-2 s - 1
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