Part 
  
  
  
  5: STRUCTURE DETERMINATION
  
  
  
  
  a. For a hydrocarbon, the formula for the index of hydrogen defficiency, IHD = 0.5 ( 2c+2-h), therefore, the IHD = 0.5 (2 x 8 + 2 -14) = 2 
  FYI : The IHD =  pi + r (pi bonds plus rings) 
there can be 2 units of unsaturation, which could mean 2 rings, a ring and a double bond, two double bonds or a triple bond.
b. Here are possible answers (there are likely others), these were selected to represent four different ways to get an IHD=2. Note that there has to be some symmetry.

c. The structure shown below actually has two E double bonds (the higher priority alkyl groups need to be on opposite sides of the C=C). 
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d. The IR data 2150 cm-1 implies an alkyne, the 3300 cm-1 implies an sp C-H, i.e.  terminal alkyne. A generic example and a specific example are shown below. Note that alkyne geometry in linear.
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e. 
i.  The terminal alkyne will be the most acidic choice, pKa about 25. 
  ii The conjugate base of an alkyne has the -ve charge associated with an sp hybrid orbital. This means the electrons are in a small orbital (due to the high s character) that puts the -ve charge closer to the positive nucleus. This stabilises the conjugate base. (i.e. think of HA <=> H+ and A-, stablising A- favours the right hand side indicating that HA is a stronger acid). 
iii. A generic balanced equation for the reaction of a terminal alkyne as an acid is shown.:
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  f. 
  i. The reaction will be allylic radical bromination. This is the expected product because allylic C-H bonds are the weakest and this leads to a resonance stablised radical. 
  
  
  ii. Comparing the initial molecular  formula with C8H14Br2 indicates that an addition reaction has occurred (addition to a C=C as per the hydrocarbon experiment from the laboratory), likely if a high concentration of bromine was used (in error).
  
  Common errors: 
  Incorrectly counting the types of H.
  Ignoring the fact that the question indicates that X was a hydrocarbon.
  Did not recognise the terminal alkyne in part d.
Did not use a strong enough base (pKa >25) to deprotonate the terminal alkyne.
Confused the pKa of internal and terminal alkynes.
Drawing vinyl bromides (C=C-Br) as products of radical bromination (it's a reaction of sp3 C-H bonds).
Not recognising the electrophilic addition in part fii.