..but here's a shorthand list of general guidelines for deciding if an alkyl compound will have a 1st order or 2nd order rxn.
* if it's 1', you pretty much mostly get Sn2. but if not, usually the easiest way to figure out the answer is to look at the reagents:
* if you've got a strong base/nucleophile, you generally get a one-step rxn (that is, Sn2 or E2).
* protic solvents (water & ethanol) stabilize carbocations, so it favors the two-step rxn (Sn1 or E1)
why:
if it's a one-step rxn, the rate-determining step is the attack of the nucleophile or base. so the stronger it is, the more the rxn is favored. but with the two-step rxns, that first step (the leaving group popping off, making a carbocation) is the slow step. anything that favors forming the cation favors the rxn, so protic solvents that stabilize the carbocation favor Sn1 & E1 rxns. since that next step (the base or nucleophile's attack) is a fast (non-rate determining) step, the strength of the nuc/base isnt' terribly important. So in this problem, the presence of the H+ guarantees that your nucleophile is crap; you're stuck with a first-order rxn. (And, as mentioned before, it makes Br- "happier" to be a leaving group.)