7kg of dimethyl terephthalate is reacted with 5 kg of ethylene glycol to produce pet. estimate the amount of polymer that is produced assuming 50% efficiency.

Explanation:

The given data will be as follows.

         7 kg of dimethyl terephthalate + 5 kg of Ethylene glycol = 12 kg of product

Formula for weight average number is as follows.

                                  =

Molecular weight of DMT = 198.21 g/mol

Molecular weight of ET = 62.07 g/mol

Hence, calculate the weight average number as follows.

           =          

            = (115.62 + 25.862) g/mol            

             = 141.482 g/mol

Since, efficiency is given as 50% = 0.5

                               0.5 =

                                  =    

                                  = 70.741 g/mol

As,           =

                      =

                                     = 24 g

Thus, we can conclude that the amount of given polymer is 24 g.