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Percent Feed Solids given Percent Solids Recovery Calculator

Feed Solids Formula:

\[ F = \frac{100 \times C_s \times C_c}{\%R \times C_c + 100 \times C_s - \%R \times C_s} \]

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1. What is Percent Feed Solids given Percent Solids Recovery?

Definition: This calculator determines the concentration of solid particles in the feed slurry based on cake solids, centrate solids, and solids recovery percentage.

Purpose: It helps in wastewater treatment and industrial processes to analyze and optimize solid-liquid separation efficiency.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ F = \frac{100 \times C_s \times C_c}{\%R \times C_c + 100 \times C_s - \%R \times C_s} \]

Where:

Explanation: The formula calculates the feed solids concentration based on the mass balance between the cake and centrate streams and the solids recovery efficiency.

3. Importance of Feed Solids Calculation

Details: Accurate feed solids determination is crucial for process optimization, equipment sizing, and performance evaluation in separation processes.

4. Using the Calculator

Tips: Enter cake solids (%), centrate solids (%), and solids recovery (%). All values must be ≥ 0, and recovery must be between 0-100%.

5. Frequently Asked Questions (FAQ)

Q1: What is cake solids percentage?
A: Cake solids percentage is the concentration of solids in the dewatered product from the separation process.

Q2: What does centrate solids represent?
A: Centrate solids represent the solids concentration in the liquid effluent from the separation process.

Q3: How is solids recovery percentage determined?
A: Solids recovery is calculated as (mass of solids in cake / mass of solids in feed) × 100%.

Q4: What if I get "Undefined" result?
A: This occurs when the denominator becomes zero, which might happen with certain combinations of input values.

Q5: What are typical values for these parameters?
A: Typical values vary by application, but cake solids might range 20-40%, centrate solids 0.1-2%, and recovery 90-99% for efficient processes.

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