Connect 2-Year Access Card for Chemistry: The Molecular Nature of Matter and Change
Connect 2-Year Access Card for Chemistry: The Molecular Nature of Matter and Change
7th Edition
ISBN: 9780078129865
Author: Martin Silberberg Dr., Patricia Amateis Professor
Publisher: McGraw-Hill Education
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Chapter 12, Problem 12.131P

(a)

Interpretation Introduction

Interpretation:

The molar mass of each fraction is to be calculated.

Concept introduction:

Molar mass is defined as the summation of the masses of the atoms that are present in one mole of a particular molecule.

A polymer is a macromolecule that is formed from the covalently bonded structure of small molecules known as monomers. Polymers are of two types as follows:

1. Natural polymers

2. Synthetic polymers

The molecular mass of polymer depends upon the mass of monomer and number of monomer. The formula to calculate the molecular mass of polymer is as follows:

  Mpolymer=(Mmonomer)(n)        (1)

Here,

Mpolymer is the molar mass of the polymer.

Mmonomer is the molar mass of monomer.

n is the degree of polymerization.

(a)

Expert Solution
Check Mark

Answer to Problem 12.131P

The molar mass of fraction 1, 2, 3, 4, 5, 6 are 2.73×104g/mol, 3.30×104g/mol, 3.68×104g/mol, 4.83×104g/mol, 5.25×104g/mol and 5.75×104g/mol respectively.

Explanation of Solution

Substitute 273 for n and 100.02 g/mol for Mmonomer in equation (1) to calculate the molar mass of fraction 1.

  Mpolymer=(100.02 g/mol)(273)=2.7305×104g/mol2.73×104g/mol

Substitute 330 for n and 100.02 g/mol for Mmonomer in equation (1) to calculate the molar mass of fraction 2.

  Mpolymer=(100.02 g/mol)(330)=3.30066×104g/mol3.30×104g/mol

Substitute 368 for n and 100.02 g/mol for Mmonomer in the equation (1) to calculate the molar mass of fraction 3.

  Mpolymer=(100.02 g/mol)(368)=3.6807×104g/mol3.68×104g/mol

Substitute 483 for n and 100.02 g/mol for Mmonomer in equation (1) to calculate the molar mass of fraction 4.

  Mpolymer=(100.02 g/mol)(483)=4.83097×104g/mol4.83×104g/mol

Substitute 525 for n and 100.02 g/mol for Mmonomer in equation (1) to calculate the molar mass of fraction 5.

  Mpolymer=(100.02 g/mol)(525)=5.25105×104g/mol5.25×104g/mol

Substitute 575 for n and 100.02 g/mol for Mmonomer in equation (1) to calculate the molar mass of fraction 6.

  Mpolymer=(100.02 g/mol)(575)=5.75115×104g/mol5.75×104g/mol.

Conclusion

The molecular mass of polymer depends upon the mass of monomer and number of monomer.

(b)

Interpretation Introduction

Interpretation:

The number-average molar mass of the sample is to be calculated.

Concept introduction:

The number-average molar mass is a method to determine the molar mass of the polymer. It is calculated by the average of the molecular masses of the individual monomer unit that combine to form a polymer. The formula to calculate the number-average molar mass of the sample is as follows:

  Number-average molar mass=total sum of all chainsnumber of moles of chains

(b)

Expert Solution
Check Mark

Answer to Problem 12.131P

The number-average molar mass is 4.2×104g/mol.

Explanation of Solution

The formula to calculate the number-average molar mass of the sample is as follows:

  Number-average molar mass=[(Mmonomer)((averagenumberofrepeatingunit)(molofpolymer))]number of moles of chains        (2)

Substitute the values in the equation (2) to calculate the number-average molar mass of the sample.

  Number-average molar mass=[(100.02 g/mol)((273)(0.10)+(330)(0.40)+(368)(1.00)+(483)(0.70)+(525)(0.30)+(575)(0.10))](0.10+0.40+1.00+0.70+0.30+0.10)=4.1562×104g/mol4.2×104g/mol.

Conclusion

The number-average molar mass is one of the method to determine the molar mass of the polymer. The number of monomer varies and therefore it is difficult to determine the molar mass of polymer.

(c)

Interpretation Introduction

Interpretation:

The weight-average molar mass of the sample of polytetra fluoroethylene is to be calculated.

Concept introduction:

The weight-average molar mass is a method to determine the molar mass of the polymer. The formula to calculate the weight-average molar mass of the sample is as follows:

  Weight-average molar mass=(Mass of fraction)(mass of fraction)total mass of all fractions

(c)

Expert Solution
Check Mark

Answer to Problem 12.131P

The weight-average molar mass of the sample is 4.3×104g/mol.

Explanation of Solution

The formula to calculate weight-average molar mass of the sample is as follows:

  weight-averagemolar mass=[((molar massoffraction)2(molofpolymer))][((molar massoffraction)(molofpolymer))]        (3)

Substitute the values in the equation (3) to calculate the weight-average molar mass of the sample.

  Mw=((2.73×104g/mol)2(0.10mol)+(3.30×104g/mol)2(0.40mol)+(3.68×104g/mol)2(1.00mol)+(4.83×104g/mol)2(0.70mol)+(5.25×104g/mol)2(0.30mol)+(5.75×104g/mol)2(0.10mol))((2.73×104g/mol)(0.10mol)+(3.30×104g/mol)(0.40mol)+(3.68×104g/mol)(1.00mol)+(4.83×104g/mol)(0.70mol)+(5.25×104g/mol)(0.30mol)+(5.75×104g/mol)(0.10mol))=4.3085×104g/mol4.3×104g/mol.

Conclusion

The weight-average molar mass is one of the method to determine the molar mass of the polymer. The number of monomer varies and therefore it is difficult to determine the molar mass of a polymer

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Chapter 12 Solutions

Connect 2-Year Access Card for Chemistry: The Molecular Nature of Matter and Change

Ch. 12.6 - For each of the following crystalline solids,...Ch. 12.6 - Prob. 12.6BFPCh. 12.6 - Prob. 12.7AFPCh. 12.6 - Iron crystallizes in a body-centered cubic...Ch. 12.6 - Prob. 12.8AFPCh. 12.6 - Prob. 12.8BFPCh. 12.6 - Prob. B12.1PCh. 12.6 - Prob. B12.2PCh. 12 - Prob. 12.1PCh. 12 - Prob. 12.2PCh. 12 - Prob. 12.3PCh. 12 - Prob. 12.4PCh. 12 - Prob. 12.5PCh. 12 - Prob. 12.6PCh. 12 - Prob. 12.7PCh. 12 - Name the phase change in each of these events: (a)...Ch. 12 - Prob. 12.9PCh. 12 - Many heat-sensitive and oxygen-sensitive solids,...Ch. 12 - Prob. 12.11PCh. 12 - Prob. 12.12PCh. 12 - Prob. 12.13PCh. 12 - Prob. 12.14PCh. 12 - Prob. 12.15PCh. 12 - Prob. 12.16PCh. 12 - Prob. 12.17PCh. 12 - Prob. 12.18PCh. 12 - From the data below, calculate the total heat (in...Ch. 12 - Prob. 12.20PCh. 12 - Prob. 12.21PCh. 12 - Prob. 12.22PCh. 12 - Prob. 12.23PCh. 12 - Prob. 12.24PCh. 12 - Prob. 12.25PCh. 12 - Prob. 12.26PCh. 12 - Prob. 12.27PCh. 12 - Prob. 12.28PCh. 12 - Prob. 12.29PCh. 12 - Prob. 12.30PCh. 12 - Use Figure 12.10 to answer the following: Carbon...Ch. 12 - Prob. 12.32PCh. 12 - Prob. 12.33PCh. 12 - Prob. 12.34PCh. 12 - Prob. 12.35PCh. 12 - Prob. 12.36PCh. 12 - Distinguish between polarizability and polarity....Ch. 12 - Prob. 12.38PCh. 12 - Prob. 12.39PCh. 12 - Prob. 12.40PCh. 12 - Prob. 12.41PCh. 12 - Prob. 12.42PCh. 12 - Prob. 12.43PCh. 12 - Prob. 12.44PCh. 12 - Prob. 12.45PCh. 12 - Prob. 12.46PCh. 12 - Prob. 12.47PCh. 12 - Prob. 12.48PCh. 12 - Prob. 12.49PCh. 12 - Which liquid in each pair has the lower vapor...Ch. 12 - Which substance has the lower boiling point?...Ch. 12 - Which substance has the higher boiling point?...Ch. 12 - Prob. 12.53PCh. 12 - Prob. 12.54PCh. 12 - Prob. 12.55PCh. 12 - Prob. 12.56PCh. 12 - Why does the antifreeze ingredient ethylene glycol...Ch. 12 - Prob. 12.58PCh. 12 - Prob. 12.59PCh. 12 - Why does an aqueous solution of ethanol (CH3CH2OH)...Ch. 12 - Prob. 12.61PCh. 12 - Prob. 12.62PCh. 12 - Prob. 12.63PCh. 12 - Prob. 12.64PCh. 12 - Prob. 12.65PCh. 12 - Prob. 12.66PCh. 12 - Prob. 12.67PCh. 12 - Prob. 12.68PCh. 12 - Prob. 12.69PCh. 12 - Prob. 12.70PCh. 12 - Prob. 12.71PCh. 12 - Prob. 12.72PCh. 12 - Prob. 12.73PCh. 12 - Prob. 12.74PCh. 12 - Prob. 12.75PCh. 12 - Prob. 12.76PCh. 12 - Prob. 12.77PCh. 12 - Prob. 12.78PCh. 12 - Prob. 12.79PCh. 12 - Prob. 12.80PCh. 12 - Prob. 12.81PCh. 12 - Prob. 12.82PCh. 12 - Prob. 12.83PCh. 12 - Prob. 12.84PCh. 12 - Besides the type of unit cell, what information is...Ch. 12 - What type of unit cell does each metal use in its...Ch. 12 - What is the number of atoms per unit cell for each...Ch. 12 - Calcium crystallizes in a cubic closest packed...Ch. 12 - Chromium adopts the body-centered cubic unit cell...Ch. 12 - Prob. 12.90PCh. 12 - Prob. 12.91PCh. 12 - Prob. 12.92PCh. 12 - Prob. 12.93PCh. 12 - Prob. 12.94PCh. 12 - Prob. 12.95PCh. 12 - Prob. 12.96PCh. 12 - Prob. 12.97PCh. 12 - Prob. 12.98PCh. 12 - Prob. 12.99PCh. 12 - Prob. 12.100PCh. 12 - Prob. 12.101PCh. 12 - Prob. 12.102PCh. 12 - Prob. 12.103PCh. 12 - Polonium, the Period 6 member of Group 6A(16), is...Ch. 12 - Prob. 12.105PCh. 12 - Prob. 12.106PCh. 12 - Prob. 12.107PCh. 12 - Prob. 12.108PCh. 12 - Prob. 12.109PCh. 12 - Prob. 12.110PCh. 12 - Prob. 12.111PCh. 12 - Prob. 12.112PCh. 12 - Prob. 12.113PCh. 12 - Prob. 12.114PCh. 12 - Prob. 12.115PCh. 12 - Prob. 12.116PCh. 12 - Prob. 12.117PCh. 12 - Prob. 12.118PCh. 12 - Prob. 12.119PCh. 12 - Prob. 12.120PCh. 12 - Prob. 12.121PCh. 12 - Prob. 12.122PCh. 12 - Prob. 12.123PCh. 12 - Prob. 12.124PCh. 12 - Prob. 12.125PCh. 12 - Prob. 12.126PCh. 12 - Bismuth is used to calibrate instruments employed...Ch. 12 - Prob. 12.128PCh. 12 - Prob. 12.129PCh. 12 - Prob. 12.130PCh. 12 - Prob. 12.131PCh. 12 - Prob. 12.132PCh. 12 - Prob. 12.133PCh. 12 - Prob. 12.134PCh. 12 - Prob. 12.135PCh. 12 - Prob. 12.136PCh. 12 - Prob. 12.137PCh. 12 - Prob. 12.138PCh. 12 - Prob. 12.139PCh. 12 - Prob. 12.140PCh. 12 - Prob. 12.141PCh. 12 - Prob. 12.142PCh. 12 - Prob. 12.143PCh. 12 - Prob. 12.144PCh. 12 - Prob. 12.145PCh. 12 - The crystal structure of sodium is based on the...Ch. 12 - Prob. 12.147PCh. 12 - One way of purifying gaseous H2 is to pass it...
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CBSE Class 12 Chemistry || Polymers || Full Chapter || By Shiksha House; Author: Best for NEET;https://www.youtube.com/watch?v=OxdJlS0xZ0Y;License: Standard YouTube License, CC-BY