Which is the index of hydrogen deficiency for a compound having molecular formula C₁₂H₁₃Br₂NO₂?

Question

Quizplus · Accepted Answer

The index of hydrogen deficiency (IHD) formula is given by the following equation: 
IHD = (2C + 2 + N - H - X)/2, 
where C is the number of carbon atoms, N is the number of nitrogen atoms, H is the number of hydrogen atoms, and X is the number of halogen atoms (chlorine, bromine, iodine, or fluorine). 
Using the given molecular formula, we get:
C = 2, N = 1, H = 2, Br = 1, S = 7, O = 1. 
Plugging in these values into the IHD formula, we get: 
IHD = (2(2) + 2 + 1 - 2 - 1)/2 = 6/2 = 3. 
However, we have multiple bonds (double bonds and triple bonds) in this compound, which adds an extra IHD value. 
Each double bond adds 1 to the IHD value, and each triple bond adds 2. So, since we have three double bonds in the molecule, we add 3 to the IHD value, giving us a total IHD of 6. Therefore, the correct answer is B.

Which Is the Index of Hydrogen Deficiency for a Compound