A solution 0.20 molar in monomer (styrene) and 4.0 X 10-3 M in benzoyl peroxide initiator is heated at 60°C. kp = 145 liter/mole-sec, kt = 7.0 X 107 liter/mole-sec, f = 1, and the initiator half-life is 44 hr.

a) Draw the structure of the final polymer. (5 pts)

b) Draw the reaction mechanism for the polymerization including chemical structures formed in each of the three critical steps. (15 pts)

c) How long will it take to achieve 50% conversion? (20 pts)

See explaination and attachment

Explanation:

Please kindly check attachment for the step by step solution of the given problem.

A polymer is a chemical compound with molecules bonded together in long, repeating chains.

polymerization is a process of reacting monomer molecules together in a chemical reaction to form polymer chains or three-dimensional networks.

Please see attached files.

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml