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Question

The index of hydrogen deficiency (IHD) of benzene is

The correct answer is

4

Understanding Index of Hydrogen Deficiency (IHD)

The Index of Hydrogen Deficiency (IHD), also known as the degree of unsaturation, is a calculation that helps determine the total number of rings and/or pi bonds in an organic molecule based on its molecular formula. It's a useful tool in organic chemistry to understand the structural characteristics of a compound, especially when dealing with unsaturated compounds.

We need to find the Index of Hydrogen Deficiency for benzene. Benzene is a fundamental aromatic organic compound with a known structure.

Calculating IHD for Benzene

The general formula for calculating the Index of Hydrogen Deficiency for a molecule with the molecular formula $\text{C}_c\text{H}_h\text{N}_n\text{O}_o\text{X}_x$ (where X represents any halogen like Cl, Br, I, F) is:

\(\text{IHD} = \frac{2c + 2 + n - h - x}{2}\)

The molecular formula of benzene is $\text{C}_6\text{H}_6$. From this molecular formula, we can identify the number of atoms for each element needed for the IHD calculation:

  • Number of carbon atoms ($\text{c}$) = 6
  • Number of hydrogen atoms ($\text{h}$) = 6
  • Number of nitrogen atoms ($\text{n}$) = 0
  • Number of oxygen atoms ($\text{o}$) = 0 (Oxygen atoms do not affect the IHD calculation)
  • Number of halogen atoms ($\text{x}$) = 0

Now, let's substitute these values into the IHD formula:

\(\text{IHD} = \frac{2(6) + 2 + 0 - 6 - 0}{2}\)

\(\text{IHD} = \frac{12 + 2 - 6}{2}\)

\(\text{IHD} = \frac{14 - 6}{2}\)

\(\text{IHD} = \frac{8}{2}\)

\(\text{IHD} = 4\)

Interpreting the IHD Value for Benzene

The calculated Index of Hydrogen Deficiency for benzene is 4. This value represents the total number of rings and/or pi bonds present in the molecule's structure. For benzene, its structure consists of one ring and three alternating double bonds (pi bonds). The sum of these is $1 (\text{ring}) + 3 (\text{pi bonds}) = 4$. This matches our calculated IHD, confirming the structure of this important organic compound and its degree of unsaturation.

Conclusion: Index of Hydrogen Deficiency of Benzene

Based on the molecular formula $\text{C}_6\text{H}_6$ and the IHD calculation formula, the Index of Hydrogen Deficiency of benzene is found to be 4.

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Important Questions from Haloalkanes And Haloarenes

  1. IUPAC name of neopentyl chloride is

  2. Among the following statements, choose the correct statements.

    A. SN2 reaction proceeds with stereo chemical inversion.

    B. The process of conversion of Racemic mixture into enantiomer is known as Racemisation

    C. A mixture containing 2 enantiomers in equal proportions is known as Racemic mixture.

    D. The stereoisomers related to each other as superimposable mirror image are called enantiomers.

    E. The objects which are non- superimposable on their mirror image are said to be chiral and this properly is known as chirality.

    Choose the correct answer from the options given below:

  3. Which of the following would yield a single monohalogen derivative?

  4. The given hydrocarbon is CH3 - CH2 - CH2 - CH2 - CH3

  5. Which of the following represents an electrophilic aromatic substitution reaction?

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