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Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator

Easily calculate and compute flory-rehner hydrogel swelling & crosslink density calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
13.75 vol/vol

Equilibrium Volumetric Swelling Ratio (Q)

Equilibrium Volumetric Swelling Ratio (Q)

13.75 vol/vol

Volumetric Swelling Ratio Q

13.75

Gravimetric Swelling Ratio

12.08

Swollen Polymer Volume Fraction V2m

0.0727

Molecular Weight Between Crosslinks Mc G Per Mol

32647

13.75 — vol/vol

Calculation Breakdown

  1. Applied FormulaApplies the Flory-Rehner thermodynamic equilibrium swelling theory to determine molecular weight between crosslinks (Mc) from hydrogel equilibrium volume swelling ratio Q.Q = \frac{1}{v_{2,m}}, \quad M_c = -\frac{V_1 \rho_p \left( v_{2,m}^{1/3} - \frac{v_{2,m}}{2} \right)}{\ln(1 - v_{2,m}) + v_{2,m} + \chi v_{2,m}^2}

Flory-Rehner Hydrogel Swelling Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.03.46.91014Equilibrium Volumetric Swelling Ratio (Q)

What Is the Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator?

This tool computes flory-rehner hydrogel swelling & crosslink density calculator with high precision arithmetic.

How Does the Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator Work?

Applies the Flory-Rehner thermodynamic equilibrium swelling theory to determine molecular weight between crosslinks (Mc) from hydrogel equilibrium volume swelling ratio Q.

Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q=1v2,m,Mc=−V1ρp(v2,m1/3−v2,m2)ln⁡(1−v2,m)+v2,m+χv2,m2Q = \frac{1}{v_{2,m}}, \quad M_c = -\frac{V_1 \rho_p \left( v_{2,m}^{1/3} - \frac{v_{2,m}}{2} \right)}{\ln(1 - v_{2,m}) + v_{2,m} + \chi v_{2,m}^2}

Applies the Flory-Rehner thermodynamic equilibrium swelling theory to determine molecular weight between crosslinks (Mc) from hydrogel equilibrium volume swelling ratio Q.

How to Use the Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Flory-Rehner Hydrogel Swelling & Crosslink Density Calculator Example

Input Values:

dryHydrogelMassGrams:1.2
swollenHydrogelMassGrams:14.5
polymerDensityGPerCm3:1.15
floryChiInteractionParam:0.48
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required vol/vol.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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