Volume of Hydrocarbon Chain using Tanford Equation Calculator

Tanford Equation Formula:

\[ V_{mic} = (27.4 + (26.9 \times nC)) \times 10^{-3} \]

Micelle Core Volume (m³):

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1. What is the Tanford Equation for Hydrocarbon Chain Volume?

Definition: The Tanford equation estimates the volume of a hydrocarbon chain in a micelle core based on the number of carbon atoms.

Purpose: This calculation is essential in colloid and interface science for understanding micelle formation and properties.

2. How Does the Calculator Work?

The calculator uses the Tanford equation:

\[ V_{mic} = (27.4 + (26.9 \times nC)) \times 10^{-3} \]

Where:

\( V_{mic} \) — Volume of micelle core (cubic meters)
\( nC \) — Number of carbon atoms in the hydrocarbon chain

Explanation: The equation provides an empirical relationship between chain length and the space occupied by the hydrocarbon tail in a micelle.

3. Importance of Micelle Core Volume Calculation

Details: Accurate volume estimation helps predict micelle size, aggregation number, and stability in surfactant solutions.

4. Using the Calculator

Tips: Simply enter the number of carbon atoms in the hydrocarbon chain (must be ≥ 1) and click calculate.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical meaning of the constants in the equation?
A: The constants (27.4 and 26.9) are empirical parameters that account for the volume contribution per carbon atom and end-group effects.

Q2: What range of carbon atoms is this valid for?
A: Typically valid for hydrocarbon chains with 8-18 carbon atoms, common in surfactant molecules.

Q3: Why is the result in cubic meters?
A: The equation gives SI units, but you can multiply by 10^6 to get cm³ if needed.

Q4: Does this account for temperature effects?
A: No, the equation assumes standard conditions. Volume may vary slightly with temperature.

Q5: Can this be used for branched hydrocarbon chains?
A: No, the equation is specifically for linear hydrocarbon chains.