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Number-Average Molecular Weight Formula

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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. Check FAQs

M n = \frac{m repeating}{1 - p}

M_n - Number-Average Molecular Weight?m_repeating - Molecular Weight of Repeating Unit?p - Probability of Finding Repeating Unit AB?

Number-Average Molecular Weight Example

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With units

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Here is how the Number-Average Molecular Weight equation looks like with Values.

Here is how the Number-Average Molecular Weight equation looks like with Units.

Here is how the Number-Average Molecular Weight equation looks like.

23.3766 = \frac{18}{1 - 0.23}

23.3766g/mol = \frac{18g}{1 - 0.23}

23.3766 = \frac{18}{1 - 0.23}

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Number-Average Molecular Weight Solution

Follow our step by step solution on how to calculate Number-Average Molecular Weight?

FIRST Step Consider the formula

M n = \frac{m repeating}{1 - p}

Next Step Substitute values of Variables

∴

M n = \frac{18g}{1 - 0.23}

Next Step Convert Units

∴

M n = \frac{0.018kg}{1 - 0.23}

Next Step Prepare to Evaluate

∴

M n = \frac{0.018}{1 - 0.23}

Next Step Evaluate

∴

M n = 0.0233766233766234kg/mol

Next Step Convert to Output's Unit

∴

M n = 23.3766233766234g/mol

LAST Step Rounding Answer

∴

M n = 23.3766g/mol

Number-Average Molecular Weight Formula Elements

Variables

Number-Average Molecular Weight

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.

Symbol: M_n

Measurement: Molar MassUnit: g/mol

Note: Value can be positive or negative.

Formulas to find Number-Average Molecular Weight

Molecular Weight of Repeating Unit

The Molecular Weight of Repeating Unit is the mass of a molecule of repeating units present in the polymer.

Symbol: m_repeating

Measurement: WeightUnit: g

Note: Value can be positive or negative.

Formulas to find Molecular Weight of Repeating Unit

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.

Symbol: p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probability of Finding Repeating Unit AB

Credits

Created by Pratibha

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

Pratibha has created this Formula and 100+ more formulas!

Verified by Soupayan banerjee

National University of Judicial Science (NUJS), Kolkata

Soupayan banerjee has verified this Formula and 900+ more formulas!

Other formulas in Polymers category

Go Compressive Strength of Material

CS = \frac{F material}{Ar}

Go Contour Length of Macromolecule

R c = N mer \cdot l

Go Polydispersity Index for Step-Reaction Polymers

PDI = \frac{M w}{M n}

Go Rate of Polycondensation

R p = k \cdot {(A)}^{2} \cdot D

How to Evaluate Number-Average Molecular Weight?

Number-Average Molecular Weight evaluator uses Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB) to evaluate 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 evaluate Number-Average Molecular Weight using this online evaluator? To use this online evaluator 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.

FAQs on Number-Average Molecular Weight

What is the formula to find Number-Average Molecular Weight?

The formula of Number-Average Molecular Weight is expressed as Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB). Here is an example- 23376.62 = 0.018/(1-0.23).

How to calculate Number-Average Molecular Weight?

With Molecular Weight of Repeating Unit (m_repeating) & Probability of Finding Repeating Unit AB (p) we can find Number-Average Molecular Weight using the formula - Number-Average Molecular Weight = Molecular Weight of Repeating Unit/(1-Probability of Finding Repeating Unit AB).

Can the Number-Average Molecular Weight be negative?

Yes, the Number-Average Molecular Weight, measured in Molar Mass can be negative.

Which unit is used to measure Number-Average Molecular Weight?

Number-Average Molecular Weight is usually measured using the Gram Per Mole[g/mol] for Molar Mass. Kilogram Per Mole[g/mol], Chlorine Molecule (Cl2) Molecular Mass[g/mol], Hydrogen (H) - Standard Atomic Weight[g/mol] are the few other units in which Number-Average Molecular Weight can be measured.

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Number-Average Molecular Weight Formula

Number-Average Molecular Weight Example

Number-Average Molecular Weight Solution

Number-Average Molecular Weight Formula Elements

Credits

Other formulas in Polymers category

How to Evaluate Number-Average Molecular Weight?

FAQs on Number-Average Molecular Weight

Variable Name