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Mark-Houwink-Sakurada Polymer Viscosity Molecular Weight Calculator

The Mark-Houwink-Sakurada relationship links hydrodynamic intrinsic viscosity to macromolecular chain length and coil conformation.

Calculated Result
369,932 g/mol

Viscosity Molecular Weight (Mv)

Molecular Weight in kDa

369.9 kDa

Conformation Regime (a)

Good Solvent / Expanded Coil

Calculation Breakdown

  1. Invert Mark-Houwink-Sakurada relationship Mv = ([η] / K)^(1/a)Mv = (1.5 / 0.0001)^(1 / 0.75) = 369,932 g/mol

Viscosity vs Molecular Weight

Interactive visualization based on your current inputs

dL/g
0.00.50.91.41.950 kDa100 kDa250 kDa500 kDaMolecular Weight (kDa)[η] (dL/g)

What Is the Mark-Houwink-Sakurada Polymer Viscosity Molecular Weight Calculator?

The Mark-Houwink-Sakurada relationship links hydrodynamic intrinsic viscosity to macromolecular chain length and coil conformation.

How Does the Mark-Houwink-Sakurada Polymer Viscosity Molecular Weight Calculator Work?

The calculation evaluates user-provided measurements using recognized domain equations, converts between measurement units, and adjusts for real-world efficiency factors.

Mark-Houwink-Sakurada Polymer Viscosity Molecular Weight Calculator Formula & Variables

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

[\eta] = K \cdot M_v^a \implies M_v = \left(\frac{[\eta]}{K}\right)^{1/a}

The exponent a indicates chain conformation: a = 0.5 under theta conditions (ideal unperturbed random coil), 0.65–0.8 in good solvents, and > 0.8 for rigid rods.

How to Use the Mark-Houwink-Sakurada Polymer Viscosity Molecular Weight Calculator

  1. Enter your primary measurements in the input fields above.
  2. Select your preferred units (e.g. metric or imperial) if applicable.
  3. Review or adjust operational assumptions such as field efficiency.
  4. Click Calculate to instantly generate the full results breakdown and visual chart.
  5. Use the Reset button at any time to clear the form and test a new scenario.

Step-by-Step Example Calculation

Polystyrene in THF at 25°C

Input Values:

intrinsicViscosityDlPerG:1.5
markHouwinkK:0.0001
markHouwinkA:0.75

Understanding Your Result

Your calculated result represents the realistic operational capacity or baseline output under the specified conditions. Comparing theoretical and effective outputs reveals the direct impact of turns, overlap, and practical downtime.

Factors That Affect the Result

Field terrain, operator experience, equipment maintenance, overlap margin, and weather conditions can significantly influence real-world output.

When Should You Use This Calculator?

Use this calculator whenever you need quick, verified estimates for job planning, budgeting, equipment sizing, or project timelines.

Assumptions & Limitations

  • Constants K and a depend specifically on polymer species, solvent, and temperature.

Frequently Asked Questions

Calculation Accuracy & Reference Note

This calculator implements verified, deterministic mathematical equations based on published standards. Results should be treated as professional engineering estimates; always verify critical operations with local equipment manuals and site inspections.

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