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ABS plastic is a tough, hard plastic used in applications requiring shock resistance. The polymer consists of three monomer units: acrylonitrile \(\left(\mathrm{C}_{3} \mathrm{H}_{3} \mathrm{~N}\right)\), butadiene \(\left(\mathrm{C}_{4} \mathrm{H}_{6}\right)\), and styrene \(\left(\mathrm{C}_{8} \mathrm{H}_{8}\right)\). a. Draw two repeating units of \(\mathrm{ABS}\) plastic assuming that the three monomer units react in a \(1: 1: 1\) mole ratio and react in the same order as the monomers listed above. b. A sample of ABS plastic contains \(8.80 \% \mathrm{~N}\) by mass. It took \(0.605 \mathrm{~g} \mathrm{Br}_{2}\) to react completely with a \(1.20-\mathrm{g}\) sample of \(\mathrm{ABS}\) plastic. What is the percent by mass of acrylonitrile, butadiene, and styrene in this polymer sample? c. ABS plastic does not react in a \(1: 1: 1\) mole ratio among the three monomer units. Using the results from part b, determine the relative numbers of the monomer units in this sample of ABS plastic.

Short Answer

Expert verified
The repeating units of ABS polymer consist of linearly connected acrylonitrile, butadiene, and styrene units. In the given sample, the percent by mass of acrylonitrile is about \(75.37\%\), butadiene is about \(12.76\%\), and styrene is about \(11.87\%\). The relative number of monomer units in this ABS plastic sample is approximately in a 10:2:1 (Acrylonitrile : Butadiene : Styrene) ratio.

Step by step solution

01

Create the linear structure of ABS polymer

Connect the acrylonitrile, butadiene, and styrene units in the same order as listed to create the linear structure of the ABS polymer. Draw two repeating units of this structure. Step 2: Calculate the moles of bromine reacted
02

Calculate moles of Brâ‚‚ reacted

Using the information given, calculate the moles of \(\mathrm{Br}_2\) that reacted with the ABS sample: Moles of \(\mathrm{Br}_2 = \frac{0.605}{159.808} = 0.00379\,\text{moles}\) Step 3: Calculate moles of the ABS sample
03

Calculate moles of ABS sample

Since \(\mathrm{Br}_2\) reacts with ABS in a 1:1 mole ratio, the moles of the ABS sample will be the same as moles of \(\mathrm{Br}_2\): Moles of ABS sample = 0.00379 moles Step 4: Calculate mass of nitrogen in the ABS sample
04

Calculate mass of nitrogen in ABS sample

Mass of nitrogen in a \(1.20\,\text{g}\) sample: $\%\,\text{N} = 8.80 \% \\ mass\,of\,N = 1.20\,\text{g} \times 0.088 = 0.1056\,\text{g}$ Step 5: Calculate mass of acrylonitrile, butadiene, and styrene in the ABS sample
05

Calculate mass of three monomers

Use the mass percentage of nitrogen in acrylonitrile to find the mass percentage of each monomer: \(\%\,mass\,of\,\text{acrylonitrile} = \frac{0.1056}{0.1401} = 0.7537\) or \(75.37\%\) \(\%\,mass\,of\,\text{butadiene} = \frac{0.3447}{0.1308} = 0.1276\) or \(12.76\%\) \(\%\,mass\,of\,\text{styrene} = 1 - (0.7537 + 0.1276) = 0.1187\) or \(11.87\%\) Step 6: Determine the relative number of monomers
06

Determine relative number of monomers

Now, using the mass percentages, we will find the mole ratio of the three monomers: Mole ratio of acrylonitrile = \(\frac{0.7537 \times 1.20}{53.06} = 0.01349\) Mole ratio of butadiene = \(\frac{0.1276 \times 1.20}{54.12} = 0.00282\) Mole ratio of styrene = \(\frac{0.1187 \times 1.20}{104.16} = 0.00136\) Their relative values are about 10:2:1. So, the relative numbers of monomer units in this sample of the ABS plastic are: Acrylonitrile : Butadiene : Styrene = 10 : 2 : 1

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Polymer Chemistry
Polymer chemistry is the scientific discipline that explores the properties, synthesis, and structure of polymers. Polymers are long-chain molecules composed of repeating structural units called monomers, which are connected by covalent chemical bonds. ABS plastic, which stands for Acrylonitrile Butadiene Styrene, is an excellent example of a commercially important polymer synthesized from different monomers.

In the case of ABS plastic, the monomers involved are acrylonitrile \(\mathrm{C}_{3} \mathrm{H}_{3} \mathrm{N}\), butadiene \(\mathrm{C}_{4} \mathrm{H}_{6}\), and styrene \(\mathrm{C}_{8} \mathrm{H}_{8}\). The polymer synthesis process typically involves a reaction known as polymerization, where these individual monomer molecules react to form the large, complex structure of ABS. Understanding the chemistry behind this process is fundamental in creating materials with desired mechanical and chemical properties.
Molecular Structure of Polymers
When we look at the molecular structure of polymers, we observe that the unique characteristics of a polymer are greatly influenced by the arrangement and chemical features of its monomers. In the synthesis of ABS plastic, the linear arrangement of its three distinct monomers determines its resilience and impact-resistant qualities.

Each monomer contributes a unique attribute to the polymer. For instance, acrylonitrile provides chemical and thermal stability, butadiene adds toughness and impact resistance, while styrene offers rigidity and processability. To visualize this, drawing the repeating units of the polymer, as required in the exercise, helps us see how the monomers are arranged and linked within the larger polymer chain.
Stoichiometry in Polymer Synthesis
Stoichiometry in polymer synthesis involves the quantitative relationship between the reactants (monomers) and the products (polymers) in a polymerization reaction. The mole ratio of monomers determines the final properties of the polymer, and any deviation from the expected stoichiometry can affect its performance.

For ABS plastic, the textbook exercise assumes a 1:1:1 mole ratio. However, the actual polymer may have different stoichiometries. This concept is explored in the solution steps, which analyze the chemical composition, calculate the moles reacted, and ultimately determine the relative amounts of each monomer in the sample using the data given. A solid grasp of stoichiometry is essential for obtaining the desired polymer characteristics and for troubleshooting synthesis reactions.

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