Tosylates and Protection

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SaintJude

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So in the reaction shown in the link below, it takes a longer time for the primary OH group to be protected with NsCl (2hr?) than the TsCl (1hr) group protects the secondary OH group. Can anyone offer a reason why this is so?
http://en.wikipedia.org/wiki/File:TolterodineSynthesis.png

Apparently, the NsCl and TsCl (both sulfonates) can differentially select between the primary and secondary OH group of this diol by exploiting the differences between the acidity of the alcohol groups. (Acidity of an alcohol: primary> secondary> tertiary)

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My guess would be that the TsCl reaction is faster because it is done at a significantly higher temperature.
Also, in this case the secondary alcohol is way more acidic than the primary alcohol since the secondary alcohol is a phenol. One of the main purposes of protecting groups is to select for a specific product by preventing a reaction at the more reactive site, thus promoting a reaction at a less reactive site.

pKa of phenol is 10
pKa of ethanol (a primary alcohol) is 16
 
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