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When (R)-1-bromo-2butanol reacts with KI...

When (R)-1-bromo-2butanol reacts with KI in acetone the product is 1-iodo-2-butanol. Would the product be (R) or (S) ?

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No bonds to the chairty centre would be broken, so we can reason that the product would still be (R) because replacing the bromide at `C_1` with an iodine atom does not change the relative priority of `C_1`
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