The rate of polymerization Rp for a vinyl monomer using a free radical mechanism can be determined using the following equation:Rp = kp [M] [R]where:- Rp is the rate of polymerization- kp is the rate constant for the propagation step which depends on the specific monomer and temperature - [M] is the concentration of the monomer- [R] is the concentration of the free radicalsTo determine the rate of polymerization at a specific temperature and monomer concentration, you would need to know the rate constant kp for the propagation step at that temperature and the concentration of the free radicals [R] .The concentration of free radicals can be determined using the following equation:[R] = kd [I] / ktwhere:- kd is the rate constant for the initiation step which also depends on the specific initiator and temperature - [I] is the concentration of the initiator- kt is the rate constant for the termination step which depends on the specific monomer and temperature Once you have the values for kp, [M], and [R], you can calculate the rate of polymerization Rp at the specific temperature and monomer concentration.