Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The peroxide effect is seen with hydrogen bromide and not with hydrogen chloride or hydrogen iodide. One propagation step of the radical chain decides this for hydrogen chloride. An alkyl radical takes a hydrogen atom from :
The energy change of this step is the energy to break the H-X bond, less the energy given out when the new C-H bond forms. Take the average C-H bond as . The bond enthalpies of H-Cl, H-Br and H-I are , and . A radical chain can run only if every propagation step passes the radical on at a useful rate. Usually this means that no step may take in a large amount of energy.
An alkene adds HX by Markovnikov's rule: the more stable carbocation forms, so the halide goes to the carbon with more alkyl groups. A carbocation can rearrange to a more stable one by a hydride or methyl shift. With a peroxide, HBr adds by a radical chain to give the anti-Markovnikov product, because the more stable radical forms.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. HCl. .
Step 2. HBr. .
Step 3. HI. .
Step 4. (b) The step with HCl takes in . It is slow and the chain does not carry on, so the ionic path wins and Markovnikov addition results.
Step 5. (c) The other step, in which the iodine atom adds to the double bond, is not favourable, since the C-I bond formed is weak. Iodine atoms mostly meet and join to give . The first step of the chain is the weak one.
Answer: , and . Only hydrogen bromide has both propagation steps favourable.
Source. The bond enthalpies are the average values of standard tables, for example OpenStax Chemistry 2e, chapter 7.
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