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Which one is the stronger nucleophile in aprotic solvent: $\ce{H2O}$ or $\ce{H2S}?$

According to my notes, nucleophilicity order is directly proportional to basicity order in an aprotic medium, and is inversely proportional to basicity order in protic medium.

And $\ce{H2O}$ is a stronger base than $\ce{H2S},$ so it should be the strong nucleophile, but the answer is given as $\ce{H2S}$ is the stronger nucleophile. What is the reason for that? Am I missing something?

andselisk
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