Question:

In a set of copolymerization reactions, the following monomer reactivity ratios (\(r_1\) and \(r_2\)) were found for different cases: \[ \begin{array}{|c|c|c|} \hline \text{Case} & r_1 & r_2 \\ \hline I & 0.1 & 10 \\ II & 0.003 & 0.02 \\ III & 3.4 & 5.6 \\ IV & 51 & 0.01\\ \hline \end{array} \] Which option(s) correctly identify/identifies the type of copolymerization corresponding to each Case?

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Rule of thumb: - \(r_1 = r_2 = 1 \Rightarrow\) Ideal, - \(r_1 r_2 = 1 \Rightarrow\) Azeotropic, - Both \(\gg 1 \Rightarrow\) Block, - Both \(\ll 1 \Rightarrow\) Alternating.
Updated On: Aug 27, 2025
  • I - Ideal copolymerization
  • II - Azeotropic copolymerization
  • III - Block copolymerization
  • IV - Alternating copolymerization
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The Correct Option is A, C

Solution and Explanation

Caser1r2
I0.110
II0.0030.02
III3.45.6
IV510.01

In copolymerization, the monomer reactivity ratios (r1 and r2) determine the nature of the copolymer. Four main types can occur:

  • Ideal copolymerization: r1 and r2 are near 1, indicating both monomers have similar reactivity towards each other, resulting in a random copolymer.
  • Azeotropic copolymerization: This results in the composition being fixed at a particular ratio due to both r values being equal.
  • Block copolymerization: Large values for both r1 and r2 indicate preference for homopolymer formation leading to blocks.
  • Alternating copolymerization: r1r2 is close to zero, suggesting strong preference for alternate copolymer configuration.

Analyzing each case: 

  • Case I: r1=0.1, r2=10. This represents ideal copolymerization as neither tries to form a homopolymer alone.
  • Case II: Values are low, indicating neither monomer strongly prefers adjacent sequences, but not distinct.
  • Case III: Both r1=3.4 and r2=5.6 are large, favoring block formation.
  • Case IV: r1=51 is very high but r2 is quite low, thus does not fit alternating pattern well.

Correct identification is:

  • Case I: Ideal copolymerization
  • Case III: Block copolymerization
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