This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.

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a) The completed chemical reaction is: The product is 3-hydroxy-3-cyanopentane.
The chemical mechanism is: Step 1: Nucleophilic attack by cyanide ion. The cyanide ion (), generated from KCN, acts as a nucleophile and attacks the electrophilic carbon atom of the carbonyl group in 3-pentanone. The electrons of the carbon-oxygen double bond shift to the oxygen atom, forming an alkoxide intermediate.
Step 2: Protonation of the alkoxide. The alkoxide intermediate is then protonated by hydrogen cyanide (HCN) to form the stable cyanohydrin product.
b) The completed chemical reaction is: The product is 2-hydroxypentanenitrile.
The chemical mechanism is: Step 1: Nucleophilic attack by cyanide ion. The cyanide ion (), generated from NaCN, acts as a nucleophile and attacks the electrophilic carbon atom of the carbonyl group in pentanal. The electrons of the carbon-oxygen double bond shift to the oxygen atom, forming an alkoxide intermediate.
Step 2: Protonation of the alkoxide. The alkoxide intermediate is then protonated by hydrogen cyanide (HCN) to form the stable cyanohydrin product.
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a) The completed chemical reaction is: CH_3CH_2COCH_2CH_3 + HCN KCN CH_3CH_2C(OH)(CN)CH_2CH_3 The product is 3-hydroxy-3-cyanopentane.
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.