24_Chromatography-page6

24_Chromatography-page6 - Rs = v1 v2 w1 v2 - v1 (w2+ w1)/2...

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Unformatted text preview: Rs = v1 v2 w1 v2 - v1 (w2+ w1)/2 w2 since w = 4 v / N1/2 Rs = N v2 - v1 2 v2 + v1 Note: times or any representative unit can be used in place of v and w terms. Since v = Vm (1 - k) Rs = resolution in terms of k is: N k2 - k1 2 2 + k 2 + k1 Rs = N 2 !-1 ! + 1 + 2/k1 Finally, if we define k as (k1+k2)/2 - average k Remember that the relative volatility, !, is Rs = N 4 !-1 !+1 k 1+k This version of the resolution equation will be most useful with LC. ! = k2 / k1 The exact resolution equation is: Rs = = k2 ~ k1, when k -k N ln(1 + 2 1 4 1 + k1 ) k2 - k1 is small compared to 1. 1 + k1 ~ and ln (1 + x) = x For a small x, Rs = N 4 k -k 1 ( 12+ k1 ) Rs = Rs = - Rs = N 4 ( ! - 1) k1 1 + k1 k -k N ln(1 - 2 1 4 1 + k1 N 4 k2 !-1 !# 1 + k2 ) ...
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This note was uploaded on 01/07/2012 for the course CHEM 290 taught by Professor Harvey during the Fall '08 term at SUNY Stony Brook.

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