The chloronation of propene by HCl to 2-chloropropane in the gas phase

HCl(g) + CH₃CH=CH₂(g) CH₃CHClCH₃(g)

is assumed to have the following rate expression (in terms of partial pressures)

rate = kP^m_HClPⁿ_CH3CH=CH2

where m and n are integers. The reaction is thought to obey the following mechanism:

HCl + HCl (HCl)₂K1-->

HCl + CH₃CH=CH₂complex K2-->

(HCl)₂+ complex --> CH₃CHClCH₃+ 2HCl k3 (slow)

Verify that the mechanism is consistent with the reaction. Derive a rate expression from thismechanism and determine the values of m and n.