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26 January, 22:56

A liquid-phase isomerization is carried out in a 1000-gal CSTR that has a single impeller located halfway down the reactor. The liquid enters at the top of the reactor and exits at the bottom. The reaction is second order. Experimental data taken in a batch reactor predicted the CSTR conversion should be 50%. However, the conversion measured in the actual CSTR was 57%.

A) Suggest reasons for the discrepancy and suggest something, e. g., a model, that would give closer agreement between the predicted and measured conversions. Back your suggestions with calculations. P. S. It was raining very hard that day.

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  1. 26 January, 23:09
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    The conversion achieved for the first CSTR impeller is 0.382

    Discrepancy = 0.188

    Explanation:

    The impeller divides the CSTR into 2 equal reactors of volume 500gal

    Using V = FaoX / (-ra)

    500gal = Fao*Xa/[ (KCao^2 (1 - X1) ^2]

    500gal = CaoVoX1 / KCao^2 (1-X1)

    500gal = 500gal * X1' / (1 - X1) ^2

    (1 - X1) ^2 = X1

    X1^2 - 3X1 + 1 = 0

    X1 = 0.382

    Conversion achieved in the first CSTR is 0.382

    Actual measured CSTR = 57% = 57/100=0.57

    Discrepancy in the conversions = 0.57 - 0.383 = 0.188
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