Solved: Temperature and Rate (Section)The rate of the

Chapter , Problem 63E

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QUESTION:

The rate of the reaction

\(\mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(a q)+\mathrm{OH}(a q) \rightarrow \mathrm{CH}_{3} \mathrm{COO}^{-}(a q)+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(a q)\)

was measured at several temperatures, and the following data were collected:

Temperature \(\left({ }^{\circ} \mathrm{C}\right) \)

\(k\left(M^{-1} s^{-1}\right)\)

15

25

35

45

Calculate the value of  \(E_{a}\)  by constructing an appropriate graph.

Equation Transcription:

 

     

Text Transcription:

CH_3COOC_2H_5(aq)+OH-(aq) \rightarrow  CH_3COO-(aq)+C_2H_5OH(aq)  

(°C)      

k(M-1s-1)

E_a

Questions & Answers

QUESTION:

The rate of the reaction

\(\mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(a q)+\mathrm{OH}(a q) \rightarrow \mathrm{CH}_{3} \mathrm{COO}^{-}(a q)+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(a q)\)

was measured at several temperatures, and the following data were collected:

Temperature \(\left({ }^{\circ} \mathrm{C}\right) \)

\(k\left(M^{-1} s^{-1}\right)\)

15

25

35

45

Calculate the value of  \(E_{a}\)  by constructing an appropriate graph.

Equation Transcription:

 

     

Text Transcription:

CH_3COOC_2H_5(aq)+OH-(aq) \rightarrow  CH_3COO-(aq)+C_2H_5OH(aq)  

(°C)      

k(M-1s-1)

E_a

ANSWER:

Step 1 of 3

According to the Arrhenius theory, the rate constant can be calculated as follows;

                                                .....................(1)

Here,

k  = Rate constant

 = Activation energy

R = Ideal gas constant

T = Temperature.

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