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Chapter 12: Q12.108P (page 497)

How does the random coil shape relate to the radius of gyration of a polymer chain?

Short Answer

Expert verified

To determine the size of the coiled chain polymer the radius of gyration is used.

Step by step solution

01

Definition

It is defined as the average distance between the center of mass of the molecule and the outer edge of the coil.

02

Concept

The radius of gyration of the macromolecule is more meaningful as

it gives a sense of the size of the polymer coil, instead of the end-end distance.

Hence, the square radius of gyration is the average squared distance of any point in the object (polymer coil) from its center of mass.

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Most popular questions from this chapter

From the data below, calculate the total heat (in J) needed to convert 0.333 mole of gaseous ethanol at $300^{o} C$ and 1 atm to liquid ethanol at role="math" localid="1656934322575" $25 {.0}^{o} C$ and 1 atm: B.P. at 1 atm: , $78 {.5}^{o} C$ ; ${ΔH}_{yap}$ : 40.5 kJ/mol;: $C_{gas}$ 1.43 J/role="math" localid="1656934528476" $g^{o} C$ ;: 2.45 J/ $g^{o} C$ .

The polypropylene ${CH}_{3} {CHCH}_{2}$ (repeat unit) in a plastic toy has a molar mass of $2.8 \times 10^{5}$ g/mole and a repeat unit length of 0.252 pm. calculate the radius of gyration.

Which substance has the higher boiling point? Explain.

a. ${CH}_{3} OH$ OR ${CH}_{3} {CH}_{3}$

b. $FNO$ OR $ClNO$

c.

Sulfur dioxide is produced in enormous amounts for sulfuric acid production. It melts at $- 73^{o} C$ and boils at $- 10^{o} C$ . Its ${ΔH}^{o} fus$ is 8.619 kJ/mol and itsis 25.73 kJ/mol. The specific heat capacities of the liquid and gas are 0.995 J/gK and 0.622 J/gK, respectively. How much heat is required to convert 2.500 kg of solid role="math" localid="1656937400249" ${SO}_{2}$ at the melting point to a gas at $60^{o} C$ ?

Which forces oppose the vaporization of each substance?

(a) Hexane (b) Water (c) _{${SiCl}_{4}$}

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