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Intro to Polymer Science & Eng

by: Noel Mraz

Intro to Polymer Science & Eng POLYMER 501

Noel Mraz
GPA 3.64


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About this Document

Class Notes
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This 8 page Class Notes was uploaded by Noel Mraz on Friday October 30, 2015. The Class Notes belongs to POLYMER 501 at University of Massachusetts taught by Staff in Fall. Since its upload, it has received 45 views. For similar materials see /class/232238/polymer-501-university-of-massachusetts in Polymer Science at University of Massachusetts.


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Date Created: 10/30/15
24 Additional remarks JCT In general chi parameter is experimentally found to be X a Phase separation at higher temperatures l r wr Lower CriticaJ Solution Temperature t l 39 9 1 Upper Critical Solution Temperature b Lyotropic liquid crystals 13 0 quot igt NAM EH c Diblock copolymers microphase separation L lamellar C cylinder and S sphere morphologies 3 RUBBER ELASTICITY 31 Stretching of an ideal network Consider a stretching of a crosslinked polymer network L a t LLD L L1 L xLx gtLj E x I j L 39 3 L If incompressible x l xxxjk Recall for a single Gaussian chain 1 AS 3k31kd Ra 2N Therefore the tensile force for stretching is fr Tgti N l For a network of Gaussian strands per each strand 3k L L L 7 z 1 1 z 1 as 3 x x j x 1 gtFltXjail L o an Jc 1N 1 7 1 ltxxgtj gt 3 L For elastically elfective strands w L 739 I s s 4 x 3 A TltAx J 1 Forauniaxialextension alongx x x x JLT a 739 A5 i3 Z 3 L gt Tensile force for stretching the rubber is 75 A5 T B A5 JET L g l 39 A L L L 32 Swelling of polymer gels lNAE V V 0 SL Iallvx Volume fraction ofpolymer 7s O V Free energy of the gel 1 I 1 AF vs 0 AF L LA AA 2 R j quot T T x 3 2 krsT rubber elasticity FloryHuggins theory For uniform swelling 4 xXxgt9 x j osmotic pressure is 3 T msle 04XW mwgt m N 395 kg At equilibrium To 3 lgm L Y 2 PHASE EQUILIBRIA 21 Lattice theory of small molecules V z W gt W wquot Assume random mixing The free energy of mixing AFm Aampiuu i I B entropy of mixing enthalpy of mixing where the chemical mismatch parameter chi parameter is Wm VT T5 2 effective coordination number Now the BraggWilliams theory for binary alloys ARM 39 x Q 77 i A E39ET Vh u illCMiL V 22 Lattice d12an nfpnlymer sunmm and blank M max1 m h J 7V V L hw gwkr 5 Jn V uAL x has gnnyL l ht Ljhl I v T L B L E N 37 Volume fraction of componentl 15 m N k 7 J AVL Lj Assummg random mxxmg FLORYVHUGGJNS THEORY L4 Wu Higher mnlecnlar weight is equivalem m luwer temperaturequot Chamiczl pnmmizls Fl 7 j Fl 1 n15 osmouepressure andVl IS molecular volume ofsolvmt For polymersolutlons w N A lt2lt L 7 N the FloryrHugglns theory a 1m l slmllarly chemlcal potmtlal othe second componmt can be cleaved 23 Stability and phase behavior Criticalpoint For polymer solutions gt6 C gt22 C


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