Mass Fraction of Crystalline Components given Specific Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component)
μc = (v'a-v')/(v'a-v'c)
This formula uses 4 Variables
Variables Used
Mass Fraction of Crystalline Components - Mass Fraction of Crystalline Components is the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer.
Specific Volume of Amorphous Component - (Measured in Cubic Meter per Kilogram) - Specific Volume of Amorphous Component is the ratio of amorphous component's volume to its mass present in a polymer.
Specific Volume of Specimen - (Measured in Cubic Meter per Kilogram) - Specific Volume of Specimen is the ratio of specimen's volume to its mass present in a polymer.
Specific Volume of Crystalline Component - (Measured in Cubic Meter per Kilogram) - Specific Volume of Crystalline Component is the ratio of crystalline component's volume to its mass present in a polymer.
STEP 1: Convert Input(s) to Base Unit
Specific Volume of Amorphous Component: 5.1 Cubic Centimeter per Gram --> 0.0051 Cubic Meter per Kilogram (Check conversion here)
Specific Volume of Specimen: 4.1 Cubic Centimeter per Gram --> 0.0041 Cubic Meter per Kilogram (Check conversion here)
Specific Volume of Crystalline Component: 2.7 Cubic Centimeter per Gram --> 0.0027 Cubic Meter per Kilogram (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
μc = (v'a-v')/(v'a-v'c) --> (0.0051-0.0041)/(0.0051-0.0027)
Evaluating ... ...
μc = 0.416666666666667
STEP 3: Convert Result to Output's Unit
0.416666666666667 --> No Conversion Required
FINAL ANSWER
0.416666666666667 0.416667 <-- Mass Fraction of Crystalline Components
(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India
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9 Crystallinity in Polymers Calculators

Mass Fraction of Crystalline Components given Specific Volume
Go Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component)
Volume Fraction of Crystalline Components given Density
Go Volume Fraction of Crystalline Components = ((Density of Specimen-Density of Amorphous Component)/(Density of Crystalline Component-Density of Amorphous Component))
Mass Fraction of Crystalline Components given Density
Go Mass Fraction of Crystalline Components = (Density of Crystalline Component*Total Volume of Crystalline Components)/(Density of Specimen*Total Volume of Specimen)
Mass Fraction of Crystalline Regions
Go Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump)
Total Volume of Crystalline Components given Volume Fraction
Go Total Volume of Crystalline Components = Volume Fraction of Crystalline Components*Total Volume of Specimen
Volume Fraction of Crystalline Components
Go Volume Fraction of Crystalline Components = Total Volume of Crystalline Components/Total Volume of Specimen
Total Volume of Specimen
Go Total Volume of Specimen = Total Volume of Crystalline Components+Total Volume of Amorphous Components
Mass Fraction of Crystalline Components
Go Mass Fraction of Crystalline Components = Total Mass of Crystalline Components/Total Mass of Specimen
Total Mass of Specimen
Go Total Mass of Specimen = Total Mass of Crystalline Components+Total Mass of Amorphous Components

Mass Fraction of Crystalline Components given Specific Volume Formula

Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component)
μc = (v'a-v')/(v'a-v'c)

What is Degree of Crystallinity?

The degree of crystallinity is defined as the fractional amount of polymer that is crystalline and it is either expressed in terms of the mass fraction or the volume fraction. For semi-crystalline polymers, the degree of crystallinity is one of its most important physical parameters since it reflects the sample's morphology and determines various mechanical properties, such as the Young modulus, yield stress as well as impact strength. Differential scanning calorimetry is widely used to determine the amount of crystalline material. It can be used to determine the fractional amount of crystallinity in a polymer sample. Other commonly used methods are X-ray diffraction, density measurements, and infrared spectroscopy.

How to Calculate Mass Fraction of Crystalline Components given Specific Volume?

Mass Fraction of Crystalline Components given Specific Volume calculator uses Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component) to calculate the Mass Fraction of Crystalline Components, The Mass Fraction of Crystalline Components given Specific Volume formula is defined as the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer. Mass Fraction of Crystalline Components is denoted by μc symbol.

How to calculate Mass Fraction of Crystalline Components given Specific Volume using this online calculator? To use this online calculator for Mass Fraction of Crystalline Components given Specific Volume, enter Specific Volume of Amorphous Component (v'a), Specific Volume of Specimen (v') & Specific Volume of Crystalline Component (v'c) and hit the calculate button. Here is how the Mass Fraction of Crystalline Components given Specific Volume calculation can be explained with given input values -> 0.416667 = (0.0051-0.0041)/(0.0051-0.0027).

FAQ

What is Mass Fraction of Crystalline Components given Specific Volume?
The Mass Fraction of Crystalline Components given Specific Volume formula is defined as the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer and is represented as μc = (v'a-v')/(v'a-v'c) or Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component). Specific Volume of Amorphous Component is the ratio of amorphous component's volume to its mass present in a polymer, Specific Volume of Specimen is the ratio of specimen's volume to its mass present in a polymer & Specific Volume of Crystalline Component is the ratio of crystalline component's volume to its mass present in a polymer.
How to calculate Mass Fraction of Crystalline Components given Specific Volume?
The Mass Fraction of Crystalline Components given Specific Volume formula is defined as the fraction of total mass of that crystalline component from the total mass of specimen present in a polymer is calculated using Mass Fraction of Crystalline Components = (Specific Volume of Amorphous Component-Specific Volume of Specimen)/(Specific Volume of Amorphous Component-Specific Volume of Crystalline Component). To calculate Mass Fraction of Crystalline Components given Specific Volume, you need Specific Volume of Amorphous Component (v'a), Specific Volume of Specimen (v') & Specific Volume of Crystalline Component (v'c). With our tool, you need to enter the respective value for Specific Volume of Amorphous Component, Specific Volume of Specimen & Specific Volume of Crystalline Component and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mass Fraction of Crystalline Components?
In this formula, Mass Fraction of Crystalline Components uses Specific Volume of Amorphous Component, Specific Volume of Specimen & Specific Volume of Crystalline Component. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Mass Fraction of Crystalline Components = Total Mass of Crystalline Components/Total Mass of Specimen
  • Mass Fraction of Crystalline Components = (Density of Crystalline Component*Total Volume of Crystalline Components)/(Density of Specimen*Total Volume of Specimen)
  • Mass Fraction of Crystalline Components = Area Under Crystalline Peak/(Area Under Crystalline Peak+Area Under Amorphous Hump)
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