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This is the answer to chapter 20, problem number 55 from the smith organic chemistry textbook.
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This problem asks us to draw a stepwise mechanism for each of these two reactions.
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So in a, we have this lactone that we're treating with methyl magnesium bromide.
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And we end up with a non -cyclic product.
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And if you count carbons, you can see that we've added two methylgene bromide.
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Groups.
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And so we need to draw a mechanism that's going to account for that.
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Okay.
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And so the first thing that's going to happen here is methyl magnesium bromide is going to attack the carbonyl carbon in the typical fashion of a granite reagent.
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So like this.
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And so after that first step, we have this intermediate.
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So we have this intermediate.
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So we we've added our methyl group here.
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We have the alcoxide here.
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I forgot to draw the oxygen right here.
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So let me fix that.
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Okay.
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So we have this alcoxide with a negative charge.
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We've added our methyl group.
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And so the next thing that can happen is the alcoxide can go to reform the double bond there.
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That's going to cause this bond to break, this other carbon -oxygen bond.
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And when that happens, that is going to open up our ring.
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And so now, three, four, five, six.
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So now we'll have this with a ketone here and the alk -oxide over here.
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Okay.
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And so from here, and let me just double check.
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Right.
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Yeah.
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So the problem specifies that we're using excess methamagnosium bromide.
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And the reason it has to be excess is because we can now have a second equivalent of methyl magnesium bromide come in and attack this ketone.
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And so again, this will proceed just like a regular greenyard.
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And so we now have another methyl group here and an alkoxide here.
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And so we have two alcoxides now.
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And when we go to do our water workup, we can take care of both of these at the same time.
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So we can draw both of these being protonated at the same time as a single step.
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I shouldn't omit negative charges, so each of these has a negative charge.
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And we can just draw each of them grabbing a proton from different water molecules simultaneously.
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And so that is going to get us to our final product, which would be this dial...