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By D East, G C Margerison

ISBN-10: 0080118917

ISBN-13: 9780080118918

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E. NMn=YjNiMi or Mn = ^ l l = ^ l l . (2 2Ì DETERMINATION OF MOLECULAR WEIGHT 45 In our particular example, Mn could be calculated by the laborious operation implied by the summation sign : 100x100+90x200 + 8 1 x 3 0 0 + . . Λ_ 100+90 + 81 + . . or more directly by the algebraical operations below: _ __ ΣΝΜ _ YJN{\-p)p^-HM1, N N where Μλ is the molecular weight of the monomer and the mer. 2 + . . ) - M i = 1000 (since p = 0-90 and Mx = 100). On the other hand if we decide to average the molecular weight according to the weight of molecules of each type, we obtain the weight average molecular weight Mw.

It is clear FIG. 9. An instantaneous "photograph" of a dilute polymer solution that the flow properties of these solutions will be very different from those containing simple solutes. One other consequence of the molecular entanglement should be noted. For reasonably concentrated solutions where the polymer molecules occupy a significant fraction of the total volume of the solution, the polymer chains are so completely intertwined that there is no point in thinking of a particular mer as belonging to a particular chain; it is best to regard the solution as made up of a large number of volume elements in each of which the number of mers fluctuates with time about some average value.

Let us see how these rules work in an actual case. A convenient example is Poiseuille's expression for the volume rate of flow of a liquid through a tube (see Chapter 2 for the full details of the conditions under which this is applicable). This equation is where v is the volume rate of flow, P is the pressure head maintaining the flow, r is the radius of the tube, η is the viscosity of the liquid, and / is the length of the tube. In the first place, note that we do not say "where v is the volume rate of flow in ces per second, and P is the pressure head maintaining the flow in dynes per sq.

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An Introduction to Polymer Chemistry by D East, G C Margerison

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