How do you convert primary alcohol to aldehyde?
By careful and controlled oxidation.
It was not something that I (a duffer) could do, but my colleague, a very accomplished synthetic organic chemist, used to routinely use potassium dichromate or permanganate for these kinds of oxidations (he didn't care which one he used, of course, they are very indiscriminate reagents). He used to monitor the reaction in real time by TLC, and quench the reaction at the appropriate time.
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Primary alcohols can be converted to aldehydes through oxidation using various reagents such as PCC (pyridinium chlorochromate), Dess-Martin periodinane, or Jones reagent (chromic acid). These reagents selectively oxidize primary alcohols to aldehydes without further oxidation to carboxylic acids.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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