Free Volume in Polymer System Calculator

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Spectrometric Characterization of Polymers

✖The Total Volume of Polymer Sample is defined as the sum of the volume occupied by the polymer molecules and the free volume (empty spaces) in the system.ⓘ Total Volume of Polymer Sample [V_tot]			+10% -10%
✖Volume Occupied by Polymer Molecules is defined as the space inherently occupied by the polymer molecules present in the system.ⓘ Volume Occupied by Polymer Molecules [V_occ]			+10% -10%

✖The Free Volume is an inherent property of the polymer matrix that arises from the free spaces between entangled polymer chains.ⓘ Free Volume in Polymer System [V_f]

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Formula

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Free Volume in Polymer System

Formula

`"V"_{"f"} = "V"_{"tot"}-"V"_{"occ"}`

Example

`"2m³"="5m³"-"3m³"`

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Free Volume in Polymer System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules
V_f = V_tot-V_occ
This formula uses 3 Variables

Variables Used

Free Volume - (Measured in Cubic Meter) - The Free Volume is an inherent property of the polymer matrix that arises from the free spaces between entangled polymer chains.
Total Volume of Polymer Sample - (Measured in Cubic Meter) - The Total Volume of Polymer Sample is defined as the sum of the volume occupied by the polymer molecules and the free volume (empty spaces) in the system.
Volume Occupied by Polymer Molecules - (Measured in Cubic Meter) - Volume Occupied by Polymer Molecules is defined as the space inherently occupied by the polymer molecules present in the system.

STEP 1: Convert Input(s) to Base Unit

Total Volume of Polymer Sample: 5 Cubic Meter --> 5 Cubic Meter No Conversion Required
Volume Occupied by Polymer Molecules: 3 Cubic Meter --> 3 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = V_tot-V_occ --> 5-3

Evaluating ... ...

V_f = 2

STEP 3: Convert Result to Output's Unit

2 Cubic Meter --> No Conversion Required

FINAL ANSWER

2 Cubic Meter <-- Free Volume

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Polymer Chemistry » Step-wise Polymerization » Free Volume in Polymer System

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 14 Step-wise Polymerization Calculators

Orientation Time of Polymer

Go Orientation Time = Pre-Exponential Factor*(exp(Activation Energy/([R]*Temperature)))

Flory-Huggins Interaction Parameter

Go Flory-Huggins Interaction Parameter = (Lattice Coordination Number*Change in Enthalpy)/([R]*Temperature)

Weight Average Degree Polymerization

Go Weight Average Degree Polymerization = Weight-Average Molecular Weight/Weight Average Molecular Weight in Crosslink Site

Sample Area given Resistivity

Go Sample Area = Specific Resistance*(Thickness of Sample/Resistance)

Specific Resistance of Pellet

Go Specific Resistance = Resistance*(Pellet Area/Pellet Thickness)

Solubility Parameter given Heat of Vaporization for Nonpolar Solvents

Go Solubility Parameter = sqrt(Heat of Vaporization/Volume)

Melting Temperature of Polymer

Go Melting Temperature of Polymer = Enthalpy Change in Melting/Entropy Change in Melting

Enthalpy Change in Melting

Go Enthalpy Change in Melting = Entropy Change in Melting*Melting Temperature of Polymer

Entropy Change in Melting

Go Entropy Change in Melting = Enthalpy Change in Melting/Melting Temperature of Polymer

Total Volume of Polymer Sample

Go Total Volume of Polymer Sample = Volume Occupied by Polymer Molecules+Free Volume

Free Volume in Polymer System

Go Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules

Volume Occupied by Polymer

Go Volume Occupied by Polymer Molecules = Total Volume of Polymer Sample-Free Volume

Heat of vaporization given Solubility Parameter

Go Heat of Vaporization = (Solubility Parameter)^2*Volume

Volume given Solubility Parameter

Go Volume = Heat of Vaporization/(Solubility Parameter)^2

Free Volume in Polymer System Formula

Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules
V_f = V_tot-V_occ

What is the Effect of Free Volume in Polymer?

Free volume in a polymer can be defined as the volume of the total mass, that is not occupied by polymer chains themselves and hence diffusing molecules can be situated there. It can generally be said to be the gap or pores occupied between the chains of polymers. The direct examination of the pore in the membrane is impossible because the gaps occur at a molecular scale. It is an intrinsic, transient, and dynamic property. The polymer's physical state and density greatly influence the membrane's free volume properties. The reduction of excess free volume in the membrane can be referred to as physical aging, which originates from the lattice contraction and diffusion of the free volume from the membrane interior to the surface.

How to Calculate Free Volume in Polymer System?

Free Volume in Polymer System calculator uses Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules to calculate the Free Volume, The Free Volume in Polymer System is defined as is an inherent property of the polymer matrix that arises from the free spaces between entangled polymer chains. Free Volume is denoted by V_f symbol.

How to calculate Free Volume in Polymer System using this online calculator? To use this online calculator for Free Volume in Polymer System, enter Total Volume of Polymer Sample (V_tot) & Volume Occupied by Polymer Molecules (V_occ) and hit the calculate button. Here is how the Free Volume in Polymer System calculation can be explained with given input values -> 2 = 5-3.

FAQ

What is Free Volume in Polymer System?

The Free Volume in Polymer System is defined as is an inherent property of the polymer matrix that arises from the free spaces between entangled polymer chains and is represented as V_f = V_tot-V_occ or Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules. The Total Volume of Polymer Sample is defined as the sum of the volume occupied by the polymer molecules and the free volume (empty spaces) in the system & Volume Occupied by Polymer Molecules is defined as the space inherently occupied by the polymer molecules present in the system.

How to calculate Free Volume in Polymer System?

The Free Volume in Polymer System is defined as is an inherent property of the polymer matrix that arises from the free spaces between entangled polymer chains is calculated using Free Volume = Total Volume of Polymer Sample-Volume Occupied by Polymer Molecules. To calculate Free Volume in Polymer System, you need Total Volume of Polymer Sample (V_tot) & Volume Occupied by Polymer Molecules (V_occ). With our tool, you need to enter the respective value for Total Volume of Polymer Sample & Volume Occupied by Polymer Molecules 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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