Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Question 61

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Consider scale-up of fungal fermentation from a 20 L model-type to 20,000 L prototype stirred tank reactor. The model-type and prototype have the same aspect ratio during scale-up. The impeller speed in the model-type is 500 rpm and the scale-up criterion is constant shear.
The impeller speed in the prototype reactor will be ______ rpm (Answer in integer).

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Question 62

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If

is an eigenvector of the matrix

corresponding to the non-zero eigenvalue,

, then the value of

is ______.

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Question 63

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The value of the limit

is ______.

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Question 64

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Let

for

, be a solution of

. Then the value of

is ______.

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Question 65

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The absolute relative error in evaluating the integral

by the trapezoidal rule with the step size 0.25 is ______ % (rounded off to 2 decimal places).

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