In a set of copolymerization reactions, the following monomer reactivity ratios (\(r_1\) and \(r_2\)) were found for different cases.
Which option(s) correctly identify/identifies the type of copolymerization corresponding to each Case?
In this question, we need to analyze the given reactivity ratios (\(r_1\) and \(r_2\)) to determine the type of copolymerization for each case. The reactivity ratios tell us about the tendency of each monomer to react with the other. Based on these values, the following observations can be made:
- Ideal copolymerization (P): In ideal copolymerization, the monomer reactivity ratios \(r_1\) and \(r_2\) are typically close to each other, indicating that the monomers have similar tendencies to react with each other.
In Case I, we have \(r_1 = 0.1\) and \(r_2 = 10\), which shows a large disparity between the reactivity ratios. However, this does not imply extreme reactivity, suggesting that this case corresponds to ideal copolymerization.
- Azeotropic copolymerization (Q): Azeotropic copolymerization occurs when the reactivity ratios are both very low (less than 1), causing the copolymerization to proceed with little preference for one monomer over the other.
In Case II, the reactivity ratios \(r_1 = 0.003\) and \(r_2 = 0.02\) are very low, which is typical for azeotropic copolymerization.
- Block copolymerization (R): Block copolymerization occurs when one monomer has a significantly higher reactivity ratio compared to the other, resulting in the formation of distinct blocks of the monomers.
In Case III, \(r_1 = 3.4\) and \(r_2 = 5.6\), showing a relatively large disparity in the reactivity ratios, which is characteristic of block copolymerization.
Therefore, based on the given reactivity ratios, the correct answer is (A) P- Ideal copolymerization; Q- Azeotropic copolymerization; R- Block copolymerization.
The crystallization of a polymer can only proceed in a temperature range limited to glass transition temperature (\(T_g\)) on the lower side, and the equilibrium melting point (\(T_m^0\)) on the higher side. Around \(T_g\), the mobility of the polymer chains is lower, while in the proximity of \(T_m^0\), crystal nucleation is inhibited.
In a miscible polymer blend with only one component being crystalline, which option(s) correctly match(es) the Temperature conditions with Events?
Which option(s) correctly match(es) the Class of additives used during polymer compounding with the corresponding Chemicals?
Which option(s) correctly match(es) the Polymer property with its appropriate Units?
During material testing, stress is applied from time \(t_i\) to \(t_f\) as shown below:
Choose the option(s) where the strain response is correctly mapped to its material class.
Choose the option(s) that correctly match(es) the Zones with their typical Functions in an industrial extruder.
In the figures given below, L and H indicate low and high pressure centers, respectively; PGF, CoF and CeF indicate Pressure Gradient Force, Coriolis Force and Centrifugal Force, respectively; \( V \) is Velocity. [The arrows indicate only the directions but not the magnitudes of the forces and velocity.]
Which of the following is/are the correct representation(s) of the directions of various forces and velocity in the gradient wind balance in the northern hemisphere?
Which of the following is the correct form of the mass divergence form of the continuity equation for a compressible fluid? [In the given equations, \( \rho \) is the density and \( \nabla \) the three-dimensional velocity vector of the fluid.]
[(i)] $\displaystyle \frac{\partial \rho}{\partial t} + \nabla \times (\rho \mathbf{v}) = 0$
[(ii)] $\displaystyle \frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \mathbf{v}) = 0$
[(iii)] $\displaystyle \frac{\partial \mathbf{v}}{\partial t} + \rho \cdot \nabla \mathbf{v} = 0$
[(iv)] $\displaystyle \frac{\partial \rho}{\partial t} + \mathbf{v} \cdot \nabla \rho = 0$
The vertical (depth) profiles for three parameters P1, P2, and P3 in the northern Indian Ocean are given in the figure below. The values along the x-axis are the normalized values of the parameters and y-axis is the depth (m).
Identify the parameters P1, P2, and P3 from the options given below.