Number-Average Molecular Weight Calculator

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Spectrometric Characterization of Polymers

✖The Molecular Weight of Repeating Unit is the mass of a molecule of repeating units present in the polymer.ⓘ Molecular Weight of Repeating Unit [m_repeating]			+10% -10%
✖The Probability of Finding Repeating Unit AB is the possibility of finding repeating unit AB in a polymer chain.ⓘ Probability of Finding Repeating Unit AB [p]			+10% -10%

✖The Number-Average Molecular Weight is a measuring system that requires counting the total number of molecules in a unit mass of polymer irrespective of their shape or size.ⓘ Number-Average Molecular Weight [M_n]

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Formula

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Number-Average Molecular Weight

Formula

`"M"_{"n"} = "m"_{"repeating"}/(1-"p")`

Example

`"23.37662g/mol"="18g"/(1-"0.23")`

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Number-Average Molecular Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB)
M_n = m_repeating/(1-p)
This formula uses 3 Variables

Variables Used

Number-Average Molecular Weight - (Measured in Kilogram Per Mole) - The Number-Average Molecular Weight is a measuring system that requires counting the total number of molecules in a unit mass of polymer irrespective of their shape or size.
Molecular Weight of Repeating Unit - (Measured in Kilogram) - The Molecular Weight of Repeating Unit is the mass of a molecule of repeating units present in the polymer.
Probability of Finding Repeating Unit AB - The Probability of Finding Repeating Unit AB is the possibility of finding repeating unit AB in a polymer chain.

STEP 1: Convert Input(s) to Base Unit

Molecular Weight of Repeating Unit: 18 Gram --> 0.018 Kilogram (Check conversion here)
Probability of Finding Repeating Unit AB: 0.23 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_n = m_repeating/(1-p) --> 0.018/(1-0.23)

Evaluating ... ...

M_n = 0.0233766233766234

STEP 3: Convert Result to Output's Unit

0.0233766233766234 Kilogram Per Mole -->23.3766233766234 Gram Per Mole (Check conversion here)

FINAL ANSWER

23.3766233766234 ≈ 23.37662 Gram Per Mole <-- Number-Average Molecular Weight

(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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Number-Average Molecular Weight

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Weight-Average Molecular Weight in General Step Reaction Polymerization

Go Weight-Average Molecular Weight = Number-Average Molecular Weight*(1+Probability of Finding Repeating Unit AB)

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Go Polydispersity Index = Weight-Average Molecular Weight/Number-Average Molecular Weight

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Rate of Polycondensation

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Number-Average Molecular Weight

Go Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB)

Weight-Average Molecular Weight in General Step Reaction Polymerization

Go Weight-Average Molecular Weight = Number-Average Molecular Weight*(1+Probability of Finding Repeating Unit AB)

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Go Polydispersity Index = Weight-Average Molecular Weight/Number-Average Molecular Weight

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Go Tensile Strength = Force Applied on Material/Cross Sectional Area of Polymer

Sedimentation Coefficient of Particle

Go Sedimentation Coefficient = Sedimentation Speed/Applied Acceleration

Contour Length of Macromolecule

Go Contour Length = Number of Monomers*Length of Monomer Unit

Number-Average Molecular Weight Formula

Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB)
M_n = m_repeating/(1-p)

What is Polymerization?

In polymer chemistry, polymerization is a process of reacting monomer molecules together in a chemical reaction to form polymer chains or three-dimensional networks. In chemical compounds, polymerization can occur via a variety of reaction mechanisms that vary in complexity due to the functional groups present in the reactants and their inherent steric effects.

How to Calculate Number-Average Molecular Weight?

Number-Average Molecular Weight calculator uses Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB) to calculate the Number-Average Molecular Weight, The Number-Average Molecular Weight formula is defined as the total weight of polymer divided by the total number of molecules. Number-Average Molecular Weight is denoted by M_n symbol.

How to calculate Number-Average Molecular Weight using this online calculator? To use this online calculator for Number-Average Molecular Weight, enter Molecular Weight of Repeating Unit (m_repeating) & Probability of Finding Repeating Unit AB (p) and hit the calculate button. Here is how the Number-Average Molecular Weight calculation can be explained with given input values -> 23376.62 = 0.018/(1-0.23).

FAQ

What is Number-Average Molecular Weight?

The Number-Average Molecular Weight formula is defined as the total weight of polymer divided by the total number of molecules and is represented as M_n = m_repeating/(1-p) or Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB). The Molecular Weight of Repeating Unit is the mass of a molecule of repeating units present in the polymer & The Probability of Finding Repeating Unit AB is the possibility of finding repeating unit AB in a polymer chain.

How to calculate Number-Average Molecular Weight?

The Number-Average Molecular Weight formula is defined as the total weight of polymer divided by the total number of molecules is calculated using Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB). To calculate Number-Average Molecular Weight, you need Molecular Weight of Repeating Unit (m_repeating) & Probability of Finding Repeating Unit AB (p). With our tool, you need to enter the respective value for Molecular Weight of Repeating Unit & Probability of Finding Repeating Unit AB and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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