Question

Kozeny carmen equation is used to determine the___.

• A. Viscosity of a liquid
• B. Surface area of the powder
• C. Surface tension of a liquid
• D. Density of a liquid

Answer 1

The Correct Option is B

The Kozeny-Carmen equation is an important formula in physical pharmacy and other fields dealing with porous media. It is used to determine the surface area of the powder. Let's understand this in detail.

The Kozeny-Carmen equation is expressed as:

\(k = \frac{{\epsilon^3}}{{(1-\epsilon)^2}} \cdot \frac{{S^2}}{{A}} \cdot \frac{{d^2}}{{\mu}} \cdot \Delta P \cdot \frac{{t}}{{Q}}\)

Where:

• \(k\) is a constant.
• \(\epsilon\) is the porosity of the material.
• \(S\) is the specific surface area of the particles.
• \(A\) is the cross-sectional area of the bed.
• \(d\) is the particle diameter.
• \(\mu\) is the viscosity of the fluid.
• \(\Delta P\) is the pressure drop across the filter bed.
• \(t\) is the thickness of the filter bed.
• \(Q\) is the flow rate of the fluid through the bed.

This equation is specifically used to describe the flow of fluids through a porous medium, and the specific surface area of the particles is a pivotal component of the calculation. Since it measures how much surface area is exposed to the fluid, it is critical for determining how a fluid will interact with a powder.

Therefore, among the options provided, the correct answer to the question, "Kozeny Carmen equation is used to determine the ___" is "Surface area of the powder".

Let's rule out the incorrect options:

• Viscosity of a liquid: This is a property concerning the liquid itself, not determined by the Kozeny-Carmen equation.
• Surface tension of a liquid: This is another fluid specific property not related to the Kozeny-Carmen calculation.
• Density of a liquid: This is also a property of the liquid that is independent of the powder's characteristics.

The focus of the Kozeny-Carmen equation is clearly on the interaction between a fluid and a porous solid, emphasizing surface area computations, validating Surface area of the powder as the correct outcome.