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The number of acyclic isomers of C(3)H(5...

The number of acyclic isomers of `C_(3)H_(5)Cl` are:

A

1

B

2

C

3

D

4

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of acyclic isomers of the compound \( C_3H_5Cl \), we can follow these steps: ### Step 1: Determine the degree of unsaturation The formula for calculating the degree of unsaturation (DU) is: \[ DU = \frac{(2C + 2 + N - H - X)}{2} \] Where: - \( C \) = number of carbon atoms - \( H \) = number of hydrogen atoms - \( N \) = number of nitrogen atoms - \( X \) = number of halogen atoms For \( C_3H_5Cl \): - \( C = 3 \) - \( H = 5 \) - \( Cl = 1 \) Plugging in the values: \[ DU = \frac{(2 \times 3 + 2 + 0 - 5 - 1)}{2} = \frac{(6 + 2 - 5 - 1)}{2} = \frac{2}{2} = 1 \] This indicates that there is one degree of unsaturation, which could correspond to a double bond or a ring. ### Step 2: Identify possible structures Given that we have one degree of unsaturation, we can have: 1. A double bond between carbon atoms. 2. A cyclic structure (but we are looking for acyclic isomers). ### Step 3: Draw the possible acyclic structures We can have the following acyclic structures for \( C_3H_5Cl \): 1. **Propene with a chlorine substituent**: - **1-chloropropene**: \( CH_2=CH-CH_2Cl \) - **2-chloropropene**: \( CH_3-CH=CHCl \) 2. **Chlorinated propane**: - **1-chloropropane**: \( CH_3-CH_2-CH_2Cl \) - **2-chloropropane**: \( CH_3-CH(Cl)-CH_3 \) ### Step 4: Count the isomers From the structures identified: 1. **1-chloropropene** 2. **2-chloropropene** 3. **1-chloropropane** 4. **2-chloropropane** Thus, the total number of acyclic isomers of \( C_3H_5Cl \) is **4**. ### Final Answer: The number of acyclic isomers of \( C_3H_5Cl \) is **4**. ---
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