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The Mass Mean Diameter gives the average diameter of particles in a sample space, weighted by their mass fraction. It provides a representative size measurement for particulate systems.
The calculator uses the formula:
Where:
Explanation: The formula calculates the weighted average particle size where each particle size is weighted by its mass fraction in the mixture.
Details: Mass Mean Diameter is crucial for characterizing particulate systems in various industries including pharmaceuticals, materials science, and chemical engineering. It helps in understanding particle size distribution and its impact on material properties.
Tips: Enter mass fraction (between 0 and 1) and particle size in meters. Both values must be valid positive numbers.
Q1: What is the difference between mass mean diameter and other average diameters?
A: Mass mean diameter weights each particle size by its mass fraction, while other averages (like number mean diameter) may weight by number of particles.
Q2: When is mass mean diameter particularly useful?
A: It's especially useful when the mass distribution of particles is more relevant than the number distribution, such as in sedimentation processes or when mass transfer is important.
Q3: Can this calculator handle multiple fractions?
A: This calculator handles a single fraction. For multiple fractions, the calculation would involve summing the products of mass fraction and particle size for all fractions.
Q4: What are typical units for mass mean diameter?
A: The units are typically meters (m), though micrometers (μm) or millimeters (mm) may be used depending on the particle size range.
Q5: How accurate is this calculation?
A: The accuracy depends on the accuracy of the input values for mass fraction and particle size measurements.