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Malonic acid overset(P(2)O(5))underset...

Malonic acid
`overset(P_(2)O_(5))underset(150^(@)C)rarr" Foul smell"(A)overset(200^(@)C)rarr(B)+"Carbon"`
The total number of `sigma` and `Pi` bonds present in compound A are :

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To solve the problem, we need to analyze the reaction of malonic acid with phosphorus pentoxide (P2O5) and determine the structure of compound A formed in the process. Then, we will count the total number of sigma (σ) and pi (π) bonds in that compound. ### Step-by-Step Solution: 1. **Identify the Structure of Malonic Acid**: Malonic acid has the formula C3H4O4 and its structure can be represented as: \[ \text{HOOC-CH2-COOH} \] This structure consists of two carboxylic acid groups (-COOH) and a methylene group (-CH2-). 2. **Reaction with P2O5**: When malonic acid is heated with P2O5 at 150°C, it undergoes dehydration to form carbon suboxide (C3O2) and phosphoric acid (H3PO4). The reaction can be summarized as: \[ \text{C3H4O4} \xrightarrow{P2O5, 150°C} \text{C3O2} + \text{H3PO4} \] 3. **Determine the Structure of Carbon Suboxide (C3O2)**: The structure of carbon suboxide can be represented as: \[ O=C=C=C=O \] This compound has alternating double bonds between carbon atoms and oxygen. 4. **Count Sigma (σ) and Pi (π) Bonds in C3O2**: - **Sigma Bonds (σ)**: - Each double bond consists of one sigma bond. - There are 3 carbon-carbon double bonds and 2 carbon-oxygen double bonds. - Total sigma bonds = 3 (C=C) + 2 (C=O) = 5 σ bonds. - **Pi Bonds (π)**: - Each double bond consists of one pi bond. - Total pi bonds = 3 (C=C) + 2 (C=O) = 5 π bonds. 5. **Final Count of Bonds**: - Total number of sigma bonds = 5 - Total number of pi bonds = 5 Thus, the total number of sigma and pi bonds present in compound A (C3O2) is: \[ \text{Total Bonds} = 5 \sigma + 5 \pi \] ### Final Answer: The total number of sigma and pi bonds present in compound A is **5 σ + 5 π**.
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