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If the molecular formula of an organic c...

If the molecular formula of an organic compound is `C_10H_18`. It is:

A

alkene

B

alkane

C

alkyne

D

Not a hydrocarbon

Text Solution

AI Generated Solution

The correct Answer is:
To determine the type of organic compound with the molecular formula \( C_{10}H_{18} \), we can follow these steps: ### Step 1: Identify the Degree of Unsaturation The degree of unsaturation (DU) can be calculated using the formula: \[ \text{DU} = \frac{(2C + 2 - H)}{2} \] where \( C \) is the number of carbon atoms and \( H \) is the number of hydrogen atoms. For our compound: - \( C = 10 \) - \( H = 18 \) Substituting these values into the formula: \[ \text{DU} = \frac{(2 \times 10 + 2 - 18)}{2} = \frac{(20 + 2 - 18)}{2} = \frac{4}{2} = 2 \] ### Step 2: Interpret the Degree of Unsaturation A degree of unsaturation of 2 indicates that the compound can have: - 2 double bonds, or - 1 triple bond, or - A combination of double and single bonds. ### Step 3: Determine the Type of Hydrocarbon 1. **Alkane**: Alkanes have the general formula \( C_nH_{2n+2} \). For \( C_{10} \), it would be \( H_{22} \). Since we have \( H_{18} \), it cannot be an alkane. 2. **Alkene**: Alkenes have the general formula \( C_nH_{2n} \). For \( C_{10} \), it would be \( H_{20} \). Since we have \( H_{18} \), it indicates that there is at least one double bond, making it possible to be an alkene. 3. **Alkyne**: Alkynes have the general formula \( C_nH_{2n-2} \). For \( C_{10} \), it would be \( H_{18} \). This matches our compound, indicating it could also be an alkyne. ### Step 4: Final Conclusion Given that the degree of unsaturation is 2, and both alkenes and alkynes fit the criteria, we conclude that the compound \( C_{10}H_{18} \) can be either an alkene or an alkyne. However, since the question asks for the classification and does not specify further, we can state: **The compound \( C_{10}H_{18} \) is either an alkene or an alkyne.**
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