Solutions Manual for Polymer Science and Technology Third Edition
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1 Solutos ul for Polymer Scece d Techology Thrd Edto Joel R. Fred Uer Sddle Rver, NJ Bosto Idols S Frcsco New York Toroto otrel Lodo uch Prs drd Cetow Sydey Tokyo Sgore exco Cty Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
2 The uthor d ulsher hve tke cre the rerto of ths ook, ut mke o exressed or mled wrrty of y kd d ssume o resoslty for errors or omssos No llty s ssumed for cdetl or cosequetl dmges coecto wth or rsg out of the use of the formto or rogrms coted here. Vst us o the We: IformIT.com/h Coyrght Perso Educto, Ic. Ths work s rotected y Uted Sttes coyrght lws d s rovded solely for the use of structors techg ther courses d ssessg studet lerg. Dssemto or sle of y rt of ths work (cludg o the World Wde We) wll destroy the tegrty of the work d s ot ermtted. The work d mterls from t should ever e mde vlle to studets excet y structors usg the ccomyg text ther clsses. All recets of ths work re exected to de y these restrctos d to hoor the teded edgogcl uroses d the eeds of other structors who rely o these mterls. ISBN-: ISBN-: Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
3 SOLUTIONS TO PROBLES IN POLYER SCIENCE AND TECHNOLOGY, RD EDITION TABLE OF CONTENTS Chter Chter Chter Chter Chter 8 Chter 7 Chter 6 4 Chter Chter CHAPTER - A olymer smle comes fve dfferet moleculr-weght frctos, ech of equl weght. The moleculr weghts of these frctos crese from, to, cremets of,. Clculte,, d w. Bsed uo these results, commet o whether ths smle hs rod or rrow moleculr-weght dstruto comred to tycl commercl olymer smles. Soluto W N 4, W, 6, W w Frcto # ( - ) W N W / ( ) Σ.4 W , W 6,.7 (rrow dstruto) 4,78 - A -gm olymer smle ws frctoted to sx smles of dfferet weghts gve the tle elow. The vscosty-verge moleculr weght,, v of ech ws determed d s cluded the tle. Estmte the umer-verge d weght-verge moleculr weghts of the orgl smle. For these clcultos, ssume tht the moleculr-weght dstruto of ech frcto s extremely rrow d c Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
4 e cosdered to e moodserse. Would you clssfy the moleculr weght dstruto of the orgl smle s rrow or rod? Soluto Let 6 v W N 6 w 6 Frcto Weght (gm) v.,.,. 7, 4., 6. 4, 6. 8, Frcto W N W / W ( 6 )., 667., , 8 67, 4.,.,, 6. 4, 6.,6, 6. 8,.76,7, Σ. 8 7,99,.. 4, W 7,9, 8,6. W w 8, 6.84 (rod dstruto) 4, - The Schult Zmm [] moleculr-weght-dstruto fucto c e wrtte s + W ( ) ex Γ + ( ) where d re djustle rmeters ( s ostve rel umer) d Γ s the gmm fucto (see Aedx E) whch s used to ormle the weght frcto. () Usg ths reltosh, ot exressos for d w terms of d d exresso for the moleculr weght t the ek of the W() curve, terms of. mx, Soluto Wd ( W ) d let t Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
5 Wd ( t ) ex( t) d ( t ) t ex( t) dt Γ ( + ) Γ + Γ + Γ W d t t d t t t dt Γ ( ) Γ + Γ + Γ ex ex Γ ( ) Γ Wd Γ + ex + Γ ( + ) ( ) w Wd t t d t Wd Γ ( + ) Γ ( + ) + Γ + + () Derve exresso for mx, the moleculr weght t the ek of the W() curve, terms of. Soluto dw d + ex( ) + ( ) ex( ) Γ + ( ) (.e., the mxmum occurs t ) (c) Show how the vlue of ffects the moleculr weght dstruto y grhg W() versus o the sme lot for.,, d gve tht, for the three dstrutos. Soluto, + W ex( ) d Γ + ( ) where Γ ( + ) ex( ) d. Plot W() versus Ht: x ex x dx Γ + + +! (f s ostve terger). Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
6 -4 () Clculte the -verge moleculr weght,, of the dscrete moleculr weght dstruto descred Exmle Prolem.. Soluto W (,) + (,) + (,) 8,968 (,) + (,) + (, W ) () Clculte the -verge moleculr weght,, of the cotuous moleculr weght dstruto show Exmle.. Soluto ( ) ( ) d 66,67 d (c) Ot exresso for the -verge degree of olymerto, X, descred Exmle.. for the Flory dstruto Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute. 4
7 Soluto X x XW X XW X X X x Let A X (geometrc seres) x x B X x C X C show tht B( ) A( + ) Therefore B + ( ) x x x + 4+ C X X + B A + x x x Wrte ( ) Therefore d flly + 4+ C X ( ) 4 x X 4 C x B + X ( ) ( ) ( + ) X o CHAPTER. If the hlf-lfe tme, t /, of the ttor AIBN ukow solvet s.6 h t 6 C, clculte ts dssocto rte costt, k d, uts of recrocl secods. Soluto I I ex kt [ ] [ ] ( d ) o [ I] ex( kdt) [ I] o Ths text s ssocted wth Fred/Polymer Scece d Techology, Thrd Edto (97879) Coyrght 4, Perso Educto, Ic. Do ot redstrute.
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