Question

A → B + C liquid phase reaction, which is known to be elementary, occurs in a batch reactor at 23 oC for 46 minutes after 0.755 undergoing transformation. When the same reaction takes place at 58 oC, it undergoes a transformation of 0.974 after 17 minutes. This is my reaction If it is carried out at 40 oC, what will be the conversion after 27.76 minutes?

          A → B + C liquid phase reaction, which is known to be elementary, occurs in a batch reactor at 23 oC for 46 minutes after 0.755 undergoing transformation. When the same reaction takes place at 58 oC, it undergoes a transformation of 0.974 after 17 minutes. This is my reaction If it is carried out at 40 oC, what will be the conversion after 27.76 minutes?
        
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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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A → B + C liquid phase reaction, which is known to be elementary, occurs in a batch reactor at 23 oC for 46 minutes after 0.755 undergoing transformation. When the same reaction takes place at 58 oC, it undergoes a transformation of 0.974 after 17 minutes. This is my reaction If it is carried out at 40 oC, what will be the conversion after 27.76 minutes?
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Transcript

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00:01 This question is basically asking us to determine percentage increase in time, percentage increase in time.
00:11 So, first of all we have to determine the order of the reaction.
00:16 So this is a first order reaction and what have we given here? we are given that the initial concentration, initial concentration of a can be denoted as c of a is basically c of a naught like this way.
00:37 Now we can determine rate from here.
00:41 So rate can be denoted as r also.
00:44 R can be written as rate constant k into concentration of a which is basically equal to minus da dt.
00:56 We can write it down like this way according to the formula of chemical kinetics.
01:00 Now, after solving we get a equals to c a naught e to the power minus kt c c a naught comes from the concentration of a.
01:19 Now let us take t 1 time taken for 0 .8 conversion.
01:26 So, a we can write it down this equation like this way a by c a naught equals to 0 .8 which is basically equal to e to the power minus kt 1...
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