How can aldehydes and ketones be distinguished from one another?
The Tollens test is classically the usual means to distinguish between aldehyde and ketone.
The chemistry of the reaction is:
As a result, the aldehyde is oxidized to carboxylic acid and silver nitrate is reduced to atomic silver.
A note of caution (unnecessary!): cyclohexanone, a ketone, does, in fact, produce a beautiful silver mirror when combined with the Tollens reagent; therefore, the Tollens reagent is not discriminating in this specific instance.
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Aldehydes and ketones can be distinguished from one another using chemical tests. One common test is the Tollens' test, which detects aldehydes but not ketones. In this test, an aldehyde reacts with Tollens' reagent (ammoniacal silver nitrate), forming a silver mirror on the inner surface of the test tube. Ketones do not react in this manner. Another test is the Fehling's test, which also distinguishes aldehydes from ketones based on their reactivity with copper(II) ions. Aldehydes reduce Cu(II) to Cu(I), resulting in the formation of a reddish-brown precipitate of Cu2O, while ketones do not undergo this reaction.
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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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