The addition of hydrogen halides to alkenes has played a fundamental role in the investigation of organic reaction mechanisms. In one study (M.J. Haugh and D.R. Dalton, J. Amer. Chem. Sac. 97, 5674 (1975)), high pressures of hydrogen chloride (up to 25 atm) and propane (up to 5 atm) were examined over a range of temperatures and the amount of 2-chloropropane formed was determined by NMR. Show that, if the reaction A + B ---7P proceeds for a short time δt, the concentration of product follows [P]/[A] = k[A]m-1 [B]" δt if the reaction is mth-order in A and nth-order in B. In a series of runs the ratio of [chloropropane] to [propane] was independent of [propane] but the ratio of [chloropropane] to [HCl] for constant amounts of propane depended on [HCI]. For δt= 100 h (which is short on the timescale of the reaction) the latter ratio rose from zero to 0.05, 0.03, 0.01 for p(HCl) = 10 atm, 7.5 atm, 5.0 atm, respectively. What are the orders of the reaction with respect to each reactant?