8.3 Polycarbonate is made by mixing 25 kg bisphenol A with 15 kg phosgene (see Example 2.4N) in abatch reaction. What are the maximum number-average chain length, Xn, and maximum numberaverage molecular weight, Mn, of this polymer?

Answered: 8.3 Polycarbonate is made by mixing 25…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

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8.3 Polycarbonate is made by mixing 25 kg bisphenol A with 15 kg phosgene (see Example 2.4N) in a
batch reaction. What are the maximum number-average chain length, Xn, and maximum number
average molecular weight, Mn, of this polymer?

Expert Solution

Step 1

Given that-

Mass of bisphenol A= 25 kg = 25000 g

Mass of phosgene = 15 kg = 15000 g

Molar mass of bisohenol A=228 g/ mol

Molar mass of phosgene= 99 g/mol

First of all, moles of the components are obtained as-

$M o l e s o f b i s p h e n o l A = \frac{M a s s}{M o l a r m a s s} = \frac{25000 g}{228 g / m o l} = 109.65 m o l M o l e s o f p h o s g e n e = \frac{M a s s}{M o l a r m a s s} = \frac{15000 g}{99 g / m o l} = 151.5 m o l$

In fromation of the polymer the reaction releases 2 mol of HCl as follows-

$B i s p h e n o l A + p h o s g e n e \to P o l y c a r b o n a t e + 2 H C l$

Hence, molecular mass of one unit of polycarbonate is-

$m o l e c u l a r m a s s (p o l y c a r b o n a t e u n i t) = 228 + 99 - (2 \times 36.5) = 254 g / m o l$

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8.3 Polycarbonate is made by mixing 25 kg bisphenol A with 15 kg phosgene (see Example 2.4N) in a batch reaction. What are the maximum number-average chain length, xn, and maximum number average molecular weight, Mn, of this polymer?