GATE XE 2024 Paper 1 — page 43

Complete GATE XE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 127–129 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 43 of 59

Polyamide 66 is prepared by the condensation polymerization of 0.08 mol of hexamethylene diamine with 0.08 mol of adipic acid. At the end of the polymerization reaction, the reaction product contained 0.002 mol of unreacted carboxylic acid groups. The molecular weight of the repeat unit of polyamide 66 is 226 g mol

. The number-average molecular weight (

) of the polyamide 66 in the reaction product is ______ g mol

(rounded off to the nearest integer).

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A monodisperse polymer sample of molecular weight 10,000 g mol

is mixed with another monodisperse sample of the same polymer of molecular weight 50,000 g mol

. The total mass of the mixture is 1,000 g and the total number of moles of the polymer in the mixture is 0.04 mol. The weight-average molecular weight (

) of the polymer mixture is ______ g mol

(rounded off to the nearest integer).

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For a polymer solution, the dependence of viscosity (

) on shear rate (

) is described by the three-parameter Carreau model given by

where,

, and

are the three parameters of the model. Here, all three parameters are positive quantities. As the shear rate increases from 1 s

to 100 s

, the viscosity of the polymer solution decreases by a factor of 10. For a polymer solution with

and

Pa s, the value of the parameter

is ______ s (rounded off to two decimal places).

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2024 · Paper 1

Question 127

Question 128

Question 129