The following table lists molecular weight data for a polypropylene material. Compute (a) the number-average molecular weight, (b) the weight-average molecular weight, and (c) the degree of polymerization. please show equations and calculations used. thank you
Molecular Weight Range (g/mol) xi wi
8,000–16,000 0.05 0.02 16,000–24,000 0.16 0.10
24,000–32,000 0.24 0.20 32,000–40,000 0.28 0.30 40,000–48,000 0.20 0.27 48,000–56,000 0.07 0.11

Answers

Answer 1

(a) The number-average molecular weight is 31,800 g/mol.(b) The weight-average molecular weight is 38,700 g/mol. (c) The degree of polymerization is 399.

(a) The number-average molecular weight (Mn) can be calculated using the following equation:

Mn = Σ(xiMi) / Σ(xi)

where xi and Mi are the weight fraction and molecular weight of the polymer, respectively. Substituting the values from the table, we get:

Mn = (0.0512000)+(0.1620000)+(0.2428000)+(0.2836000)+(0.2044000)+(0.0752000) / (0.05+0.16+0.24+0.28+0.20+0.07) = 32117 g/mol

(b) The weight-average molecular weight (Mw) can be calculated using the following equation:

Mw = Σ(wiMi^2) / Σ(wiMi)

Substituting the values from the table, we get:

Mw = (0.0212000^2)+(0.1020000^2)+(0.2028000^2)+(0.3036000^2)+(0.2744000^2)+(0.1152000^2) / (0.0212000)+(0.1020000)+(0.2028000)+(0.3036000)+(0.2744000)+(0.1152000) = 44170 g/mol

(c) The degree of polymerization (DP) can be calculated using the following equation:

DP = Mw / Mmon

where Mmon is the molecular weight of the monomer. For polypropylene, the molecular weight of the monomer is 42 g/mol. Substituting the values, we get: DP = 44170 g/mol / 42 g/mol = 1051.9

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Related Questions

Which of the following examples is a chemical property?

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Where are the options to choose from

Answer:

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Explanation:

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Which one of these are molecules list all that apply

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Oh wow , what grade are you in ukliblo ?

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Answer:

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Explanation: hope this helped

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Answers

Answer:

Explanation:

It involves the thinking of it as an electrical interaction between the positively charged part of an atom and the negatively charged part as well. Succinctly put, the interaction between the proton of an atom and the electron of an atom.

The relationship between these two sub atomic particles is one of the basis for many chemical bonding, and this is inclusive of all the bonds there exist. Hydrogen, Electrovalent and even Covalent bondings to mention but a few

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Djhdjjdjdjdjdjfjjdjdjfjfjcjjdjsjdjejdkkdkdkd






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When talking about the products of photosynthesis, why is it a HUGE issue when a vast amount of the rainforests is dying along with vast acres of forests from fires/deforestation? Remember, we know that this hurts the ecosystems of animals living there, but what else does it effect? Question 5 options: the creation of too much water the creation of oxygen the creation of to much heat the creation of carbon monoxide

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Answer:d

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Hey I'm Chloe,
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Answers

An octagon has 8 sides. Octo means 8.

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An electron is transferred from sodium to chlorine and an ionic bond is
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An electron is shared between sodium and chlorine and an ionic bond is
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An electron is transferred from sodium to chlorine and a covalent bond is
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An electron is shared between sodium and chlorine and a covalent bond is
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Answer:

First Statement is correct

Explanation:

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Hope it help!!

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What is ionic bond ?

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Explain why the metals conduct electricity



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Answers

Answer:

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Answer:

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Explanation:

Do you think personality
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Answers

influenced by the environment

Personality traits are influenced by a combination of genetic and environmental factors. Research suggests that both genetics and the environment play significant roles in shaping an individual's personality.

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Answers

Answer:

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empirical formula of c8h14

Answers

Answer:

C4H7

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Answers

Answer:

What is the charge on the barium ion and what is the charge of the hydroxide ion.

Explanation:

To get the correct formula they have to add to zero over all.

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Answers

Answer:

1 kilogram weight at sea level would be the equivalent of  2 pounds.

Explanation:

Which of the following statements is true? According to the Law of Inertia, the Earth will stay in motion because it is already moving. The sun's gravitational pull keeps the Earth from moving in a straight line. The speed of the Earth's motion keeps it from crashing into the sun. All of the above.

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Answer:

The Earth will stay in motion because it is already moving.

Answer:

b

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Answer:

Ernest Rutherford postulated the nuclear structure of the atom, discovered alpha and beta rays, and proposed the laws of radioactive decay. He received the Nobel Prize in Chemistry in 1908.

Erwin Schrödinger proposed the quantum mechanical model of the atom, which treats electrons as matter waves. ... The Heisenberg uncertainty principle states that we can't know both the energy and position of an electron.

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Consider this balanced chemical equation:
2 H2 + O2 → 2 H2O
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100 H2 + 50 O2 → 100 H2O
This equation is not conventional—because convention says that we use the lowest ratio of coefficients—but it is balanced. So is this chemical equation:
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12.044 × 1023 H2 + 6.022 × 1023 O2 → 12.044 × 1023 H2O
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Answer:

2 H2 + 1 O2 → 2 H2O

Explanation:

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Increase
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he distance from Earth to the North Star is about 430 light-years. Which of the following statements describes why scientists use the light-year unit to measure distances in space?


A light-year unit is very small and distances in space are very small.


A light-year unit is very small and distances in space are very large.


A light-year unit is very large and distances in space are very small.


A light-year unit is very large and distances in space are very large.

Answers

Answer:

D

Explanation:

because the rest don’t make any sense

A light-year unit is very large and distances in space are very large. Therefore, the correct option is option D.

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No matter the direction of the journey, distance is the overall path that an item in motion has traveled. Since just the length of the path travelled is calculated as well as the motion's direction is ignored, distance is referred to as a scalar number. The distance can only ever be positive; it can never be 0 or negative.

Displacement generally defined as the overall alteration of an object's location and motion direction. Displacement is recognized as a vector quantity since it takes into consideration both the directions of the motion and the amount of the changing position. Displacement may be zero, positive, or negative. A light-year unit is very large and distances in space are very large.

Therefore, the correct option is option D.

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Does anybody know how to find the theoretical yield? you can just do 1 equation

Answers

Answer:

its the first part in mass of sodium

Explanation:

:)

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Answers

The answer would be C metallic.

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Because the helium inside it is lighter than air , hence it rises up
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I try this before but for me is letter C

Answer:

C

Explanation:

i took the test

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