Number-Average Degree of Polymerization Calculator

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Spectrometric Characterization of Polymers

✖The Number of Original Molecules is the total number of structural units present in a polymer.ⓘ Number of Original Molecules [N_o]			+10% -10%
✖The Number of Molecules at Specific Time is the total number of molecules present in a polymer at a specific time.ⓘ Number of Molecules at Specific Time [N]			+10% -10%

✖The Number-Average Degree of Polymerization is a weighted mean of the degrees of polymerization of polymer species, weighted by the mole fractions (or the number of molecules) of the species.ⓘ Number-Average Degree of Polymerization [DP_N]

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Formula

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Number-Average Degree of Polymerization

Formula

`"DP"_{"N"} = "N"_{"o"}/"N"`

Example

`"3"="9"/"3"`

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Number-Average Degree of Polymerization Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time
DP_N = N_o/N
This formula uses 3 Variables

Variables Used

Number-Average Degree of Polymerization - The Number-Average Degree of Polymerization is a weighted mean of the degrees of polymerization of polymer species, weighted by the mole fractions (or the number of molecules) of the species.
Number of Original Molecules - The Number of Original Molecules is the total number of structural units present in a polymer.
Number of Molecules at Specific Time - The Number of Molecules at Specific Time is the total number of molecules present in a polymer at a specific time.

STEP 1: Convert Input(s) to Base Unit

Number of Original Molecules: 9 --> No Conversion Required
Number of Molecules at Specific Time: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

DP_N = N_o/N --> 9/3

Evaluating ... ...

DP_N = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Number-Average Degree of Polymerization

(Calculation completed in 00.004 seconds)

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Created by Pratibha

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

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Go Sedimentation Coefficient = Mass of Particle/(6*pi*Dynamic Viscosity*Radius of Spherical Particle)

Sedimentation Coefficient given Radius of Particle

Go Sedimentation Coefficient = Sedimentation Speed/((Radius of Spherical Particle)*(Angular Velocity)^2)

Viscosity Number

Go Viscosity Number = (Flow Time of Polymer Solution/(Flow Time of Solvent-1))/Polymer Concentration

Average Functionality Factor

Go Average Functional Factor = (Mole of each Reactant*Functionality)/Total Number of Moles

Rate of Polycondensation

Go Rate of Polycondensation = Rate Constant*(Diacid Concentration)^2*Diol Concentration

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)

Number-Average Degree of Polymerization

Go Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time

Activation Energy for Propagation

Go Activation Energy for Propagation = Heat of Polymerization+Activation Energy for Depolymerization

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Polydispersity Index for Step-Reaction Polymers

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

Tensile Strength given Cross-Sectional Area

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

Sedimentation Coefficient of Particle

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Deborah Number

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Viscosity Number

Go Viscosity Number = (Flow Time of Polymer Solution/(Flow Time of Solvent-1))/Polymer Concentration

Average Functionality Factor

Go Average Functional Factor = (Mole of each Reactant*Functionality)/Total Number of Moles

Rate of Polycondensation

Go Rate of Polycondensation = Rate Constant*(Diacid Concentration)^2*Diol Concentration

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)

Number-Average Degree of Polymerization

Go Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time

Compressive Strength of Material

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

Polydispersity Index for Step-Reaction Polymers

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

Tensile Strength given Cross-Sectional Area

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 Degree of Polymerization Formula

Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time
DP_N = N_o/N

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 Degree of Polymerization?

Number-Average Degree of Polymerization calculator uses Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time to calculate the Number-Average Degree of Polymerization, The Number-Average Degree of Polymerization formula is the weighted mean of degrees of polymerization, weighted by the mole fractions (or the number of molecules) of the polymer. Number-Average Degree of Polymerization is denoted by DP_N symbol.

How to calculate Number-Average Degree of Polymerization using this online calculator? To use this online calculator for Number-Average Degree of Polymerization, enter Number of Original Molecules (N_o) & Number of Molecules at Specific Time (N) and hit the calculate button. Here is how the Number-Average Degree of Polymerization calculation can be explained with given input values -> 3 = 9/3.

FAQ

What is Number-Average Degree of Polymerization?

The Number-Average Degree of Polymerization formula is the weighted mean of degrees of polymerization, weighted by the mole fractions (or the number of molecules) of the polymer and is represented as DP_N = N_o/N or Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time. The Number of Original Molecules is the total number of structural units present in a polymer & The Number of Molecules at Specific Time is the total number of molecules present in a polymer at a specific time.

How to calculate Number-Average Degree of Polymerization?

The Number-Average Degree of Polymerization formula is the weighted mean of degrees of polymerization, weighted by the mole fractions (or the number of molecules) of the polymer is calculated using Number-Average Degree of Polymerization = Number of Original Molecules/Number of Molecules at Specific Time. To calculate Number-Average Degree of Polymerization, you need Number of Original Molecules (N_o) & Number of Molecules at Specific Time (N). With our tool, you need to enter the respective value for Number of Original Molecules & Number of Molecules at Specific Time 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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