Which of the following compounds would not be expected to decarboxylate when heated?
To analyze the decarboxylation behavior of the given compounds, we'll examine both gem-dicarboxylic acids and β-keto acids.
1. Gem-Dicarboxylic Acids:
These are dicarboxylic acids where both carboxyl (-COOH) groups are attached to the same carbon atom (geminal position). The general decarboxylation reaction is:
$$ \text{R-C(COOH)}_2 \xrightarrow{\text{heat}} \text{R-COOH} + \text{CO}_2 $$
Key feature: The geminal arrangement makes these compounds particularly prone to decarboxylation.
2. β-Keto Acids:
The compound shown is a β-keto acid with the structure:
$$ \text{CH}_3\text{COCH}_2\text{COOH} $$
The decarboxylation mechanism proceeds through a cyclic transition state:
1) The carbonyl oxygen abstracts a proton from the β-carbon
2) Simultaneous breaking of the C-COOH bond forms CO2
3) The resulting enol tautomerizes to the ketone form
3. Decarboxylation Reaction:
The specific reaction for the given β-keto acid is:
$$ \text{CH}_3\text{COCH}_2\text{COOH} \xrightarrow{\text{heat}} \text{CH}_3\text{COCH}_3 + \text{CO}_2 $$
Product: Acetone (a ketone) and carbon dioxide gas.
4. Conclusion:
Both types of compounds undergo facile decarboxylation when heated:
- Gem-dicarboxylic acids lose one CO2 to form monocarboxylic acids
- β-Keto acids lose CO2 to form ketones
Final Answer:
The β-keto acid shown will decarboxylate upon heating to yield a ketone (acetone) and carbon dioxide gas.
The process of decarboxylation typically involves the loss of a carboxyl group (-COOH) as carbon dioxide, especially in the presence of a suitable condition like heating.
Out of the given compounds, option (C) does not undergo decarboxylation. This is because the structure in option (C) contains a carboxyl group attached to a benzene ring that is unable to undergo decarboxylation under the typical heating conditions used for decarboxylation reactions.
The other compounds, however, are more likely to undergo decarboxylation as they have a structure conducive to this reaction.
Thus, the correct answer is option (C).
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: