` (a) CH_3 CONH_2 +KOH +Br_2 `
`(b ) CH_3 COOH + ` soda lime
` (c ) CH_3 COOAg +Br _2 `
All the three reactions show similarilty in :

Options

A. Descending of carbon atoms
B. Ascending of carbon atoms
C. both of (1) and (2)
D. None of the above

Answer

To analyze the reactions provided and identify their similarity, we will break down each reaction step by step.

### Reaction (a): CH₃CONH₂ + KOH + Br₂

1. **Identify the reactants**: We have an amide (CH₃CONH₂), a strong base (KOH), and bromine (Br₂).
2. **Reaction type**: This is a Hofmann degradation reaction. The amide reacts with KOH and Br₂.
3. **Products formation**: The reaction leads to the formation of methylamine (CH₃NH₂) and potassium carbonate (K₂CO₃), along with water (H₂O).
4. **Carbon atom count**: The starting material (CH₃CONH₂) has 2 carbon atoms, and the product (CH₃NH₂) has 1 carbon atom. Thus, there is a decrease of 1 carbon atom.

### Reaction (b): CH₃COOH + Soda Lime

1. **Identify the reactants**: We have acetic acid (CH₃COOH) and soda lime (a mixture of NaOH and CaO).
2. **Reaction type**: This is a decarboxylation reaction.
3. **Products formation**: The acetic acid reacts with soda lime to produce methane (CH₄) and sodium carbonate (Na₂CO₃).
4. **Carbon atom count**: The starting material (CH₃COOH) has 2 carbon atoms, and the product (CH₄) has 1 carbon atom. Thus, there is a decrease of 1 carbon atom.

### Reaction (c): CH₃COOAg + Br₂

1. **Identify the reactants**: We have silver acetate (CH₃COOAg) and bromine (Br₂).
2. **Reaction type**: This is a reaction of silver salts with bromine, leading to the cleavage of the acetate group.
3. **Products formation**: The reaction produces bromoethane (CH₃Br) and carbon dioxide (CO₂).
4. **Carbon atom count**: The starting material (CH₃COOAg) has 2 carbon atoms, and the product (CH₃Br) has 1 carbon atom. Thus, there is a decrease of 1 carbon atom.

### Summary of Similarity

In all three reactions, the number of carbon atoms decreases from the reactants to the products. Each reaction starts with a compound containing 2 carbon atoms and ends with a product that contains only 1 carbon atom.

### Final Conclusion

The similarity in all three reactions is that they all show a **decrease in the number of carbon atoms**.

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