Respuesta :
Explanation:
The molecular weight of benzoyl peroxide is 242.23 g/mol.
Therefore, number of moles present in 200 g of benzoyl peroxide are as follows.
No. of moles = [tex]\frac{mass}{\text{molar mass}}[/tex]
= [tex]\frac{200 g}{242.23 g/mol}[/tex]
= 0.825 mol
Molecular weight of PTFE is 100 g/mol.Hence, calculate the number of moles of PTFE in 38 kg as follows.
As 1 kg = 1000 g. So, 38 kg = 38000 g.
No. of moles = [tex]\frac{mass}{\text{molar mass}}[/tex]
= [tex]\frac{38000 g}{100 g/mol}[/tex]
= 380 mol
As it is given that the initiator is 15% active. So, actual number of moles of benzoyl peroxide are as follows.
[tex]0.15 \times 0.826[/tex]
= 0.124 mol
For combination, 1 mol of benzoyl peroxide produces 1 chain. Therefore, degree of polymerization will be calculated as follows.
DP = [tex]\frac{380 mol}{0.124 mol}[/tex]
= 3065.33 mol
Average molecular weight of monomer is as follows.
[tex]\frac{0.124}{0.124 + 380} \times MW_{benzoyl} + \frac{380}{0.124 + 380} \times MW_{PTFE}[/tex]
= 100.05 g/mol
Therefore, calculate the expected molecular weight of polymer as follows.
[tex]3065.33 \times 100.05 g/mol[/tex]
= 306675.23 g/mol
Hence, for disproportion 1 mole benzoyl peroxide produces 2 chains.
DP = [tex]\frac{2 \times 380}{0.124}[/tex]
= 6129.03
Therefore, calculate the expected polymer weight as follows.
[tex]6129.03 \times 100.05[/tex]
= 613209.68 g/mol
Thus, we can conclude that the the expected polymer weight is 613209.68 g/mol.
