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If S=8.137 and α =1.956. Then No. of stages are?

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If S=8.137 and α =1.956. Then No. of stages are?

(a) 13

(b) 14

(c) 12

(d) 16

The question was posed to me during an interview.

This interesting question is from Minimum Reflux topic in section Column Process Design, Optimization and Shortcut Calculations of Distillation Design

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Right answer is (c) 12

The explanation: As N=S/ln α = 8.137/ln 1.956 = 12.

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