How does Tollens' test works?
Tollens' test exploits the ability of silver ion to oxidize aldehydes and primary alcohols to give carboxylic acids.
Half equation for reduction:
Half equation for oxidation:
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Tollens' test involves the reaction of an aldehyde with Tollens' reagent (silver mirror test). Tollens' reagent consists of silver ions complexed with ammonia. In the presence of an aldehyde, the silver ions are reduced to silver metal, forming a silver mirror on the test tube. The aldehyde is oxidized to a carboxylic acid. The reaction proceeds in an alkaline medium. The overall reaction can be represented as follows:
[ \text{3RCHO + 4Ag(NH}_3\text{)_2^+ + 5OH}^- \rightarrow \text{3RCOOH + 2H}_2\text{O + 4Ag + 8NH}_3 ]
Tollens' test is commonly used to distinguish aldehydes from ketones.
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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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