Relative Permittivity Formula:
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Definition: This calculator determines the relative permittivity (dielectric constant) of a solvent based on its dynamic viscosity, ionic mobility, and zeta potential.
Purpose: It's used in electrochemistry and colloid science to understand solvent properties in relation to charged particles.
The calculator uses the formula:
Where:
Explanation: The formula relates the dielectric properties of the solvent to the mobility of ions and the electrical potential at the slipping plane.
Details: The relative permittivity affects ion transport, colloidal stability, and electrochemical processes in solutions.
Tips: Enter the dynamic viscosity in Pa·s, ionic mobility in m²/V·s, and zeta potential in volts. All values must be positive.
Q1: What is typical relative permittivity for water?
A: Pure water has a relative permittivity of about 78.5 at 25°C.
Q2: How does temperature affect the calculation?
A: Both viscosity and ionic mobility are temperature-dependent, so measurements should be at consistent temperatures.
Q3: What range of zeta potential is typical?
A: Zeta potential typically ranges from -100 mV to +100 mV for most colloidal systems.
Q4: Can this be used for non-aqueous solvents?
A: Yes, the formula applies to any solvent, though ionic mobility values may be much lower in organic solvents.
Q5: How accurate is this calculation?
A: It provides a good estimate but actual values may vary due to factors like ion pairing or solvent structure effects.