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Number of Equilibirum Leaching Stages based on Solute Underflow Formula

GoNumber of Equilibirum Leaching Stages based on Fractional Solute Discharge Formula

GoNumber of Equilibrium Leaching Stages based on Recovery of Solute Formula

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The Number of Equilibrium Stages in Leaching is the Number of mass transfer stages in leaching operation required to attain a specified level of solid concentration. Check FAQs

N = \frac{\log 10 (1 + (\frac{S 0 \cdot (R - 1)}{S N}))}{\log 10 (R)} - 1

N - Number of Equilibrium Stages in Leaching?S₀ - Amount of Solute in Underflow Entering Column?R - Ratio of Discharge in Overflow to Underflow?S_N - Amount of Solute in Underflow Leaving Column?

Number of Equilibirum Leaching Stages based on Solute Underflow Example

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Here is how the Number of Equilibirum Leaching Stages based on Solute Underflow equation looks like.

2.3389 = \frac{\log 10 (1 + (\frac{9.85 \cdot (1.35 - 1)}{2}))}{\log 10 (1.35)} - 1

2.3389 = \frac{\log 10 (1 + (\frac{9.85kg/s \cdot (1.35 - 1)}{2kg/s}))}{\log 10 (1.35)} - 1

2.3389 = \frac{\log 10 (1 + (\frac{9.85 \cdot (1.35 - 1)}{2}))}{\log 10 (1.35)} - 1

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Number of Equilibirum Leaching Stages based on Solute Underflow Solution

Follow our step by step solution on how to calculate Number of Equilibirum Leaching Stages based on Solute Underflow?

FIRST Step Consider the formula

N = \frac{\log 10 (1 + (\frac{S 0 \cdot (R - 1)}{S N}))}{\log 10 (R)} - 1

Next Step Substitute values of Variables

∴

N = \frac{\log 10 (1 + (\frac{9.85kg/s \cdot (1.35 - 1)}{2kg/s}))}{\log 10 (1.35)} - 1

Next Step Prepare to Evaluate

∴

N = \frac{\log 10 (1 + (\frac{9.85 \cdot (1.35 - 1)}{2}))}{\log 10 (1.35)} - 1

Next Step Evaluate

∴

N = 2.33886795631929

LAST Step Rounding Answer

∴

N = 2.3389

Number of Equilibirum Leaching Stages based on Solute Underflow Formula Elements

Variables

Functions

Number of Equilibrium Stages in Leaching

The Number of Equilibrium Stages in Leaching is the Number of mass transfer stages in leaching operation required to attain a specified level of solid concentration.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Equilibrium Stages in Leaching

Amount of Solute in Underflow Entering Column

The Amount of Solute in Underflow entering column is the amount of the solute entering in the Underflow of the continuous leaching operation.

Symbol: S₀

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Amount of Solute in Underflow Entering Column

Ratio of Discharge in Overflow to Underflow

The Ratio of Discharge in Overflow to Underflow is the ratio of the solution, solvent or solute discharge in the overflow to that in the underflow.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Ratio of Discharge in Overflow to Underflow

Amount of Solute in Underflow Leaving Column

The Amount of Solute in Underflow leaving column is the amount of the solute leaving in the Underflow of the continuous leaching operation.

Symbol: S_N

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Amount of Solute in Underflow Leaving Column

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Number of Equilibrium Stages in Leaching

Go Number of Equilibirum Leaching Stages based on Fractional Solute Discharge

N = \frac{\log 10 (1 + \frac{R - 1}{f})}{\log 10 (R)} - 1

Go Number of Equilibrium Leaching Stages based on Recovery of Solute

N = \frac{\log 10 (1 + \frac{R - 1}{1 - Recovery})}{\log 10 (R)} - 1

Other formulas in Counter Current Continuous Leaching for Constant Overflow (Pure Solvent) category

Go Ratio of Solute Discharged in Underflow to Overflow

R = \frac{L}{S}

Go Ratio of Solvent Discharged in Underflow to Overflow

R = \frac{V - L}{W - S}

Go Ratio of Solution Discharged in Overflow to Underflow

R = \frac{V}{W}

Go Solute Discharged in Overflow based on Ratio of Overflow to Underflow

L = R \cdot S

How to Evaluate Number of Equilibirum Leaching Stages based on Solute Underflow?

Number of Equilibirum Leaching Stages based on Solute Underflow evaluator uses Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1 to evaluate the Number of Equilibrium Stages in Leaching, The Number of Equilibirum Leaching Stages based on Solute Underflow formula is defined as the number of equilibrium mass transfer stages required to achieve the Solute underflow for given Ratio of overflow to underflow of the column. Number of Equilibrium Stages in Leaching is denoted by N symbol.

How to evaluate Number of Equilibirum Leaching Stages based on Solute Underflow using this online evaluator? To use this online evaluator for Number of Equilibirum Leaching Stages based on Solute Underflow, enter Amount of Solute in Underflow Entering Column (S₀), Ratio of Discharge in Overflow to Underflow (R) & Amount of Solute in Underflow Leaving Column (S_N) and hit the calculate button.

FAQs on Number of Equilibirum Leaching Stages based on Solute Underflow

What is the formula to find Number of Equilibirum Leaching Stages based on Solute Underflow?

The formula of Number of Equilibirum Leaching Stages based on Solute Underflow is expressed as Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1. Here is an example- 2.338868 = (log10(1+((9.85*(1.35-1))/2)))/(log10(1.35))-1.

How to calculate Number of Equilibirum Leaching Stages based on Solute Underflow?

With Amount of Solute in Underflow Entering Column (S₀), Ratio of Discharge in Overflow to Underflow (R) & Amount of Solute in Underflow Leaving Column (S_N) we can find Number of Equilibirum Leaching Stages based on Solute Underflow using the formula - Number of Equilibrium Stages in Leaching = (log10(1+((Amount of Solute in Underflow Entering Column*(Ratio of Discharge in Overflow to Underflow-1))/Amount of Solute in Underflow Leaving Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1. This formula also uses Common Logarithm (log10) function(s).

What are the other ways to Calculate Number of Equilibrium Stages in Leaching?

Here are the different ways to Calculate Number of Equilibrium Stages in Leaching-

Number of Equilibrium Stages in Leaching=(log10(1+(Ratio of Discharge in Overflow to Underflow-1)/Fractional Solute Discharge))/(log10(Ratio of Discharge in Overflow to Underflow))-1
Number of Equilibrium Stages in Leaching=(log10(1+(Ratio of Discharge in Overflow to Underflow-1)/(1-Recovery of Solute in Leaching Column)))/(log10(Ratio of Discharge in Overflow to Underflow))-1

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Number of Equilibirum Leaching Stages based on Solute Underflow Formula

​GoNumber of Equilibirum Leaching Stages based on Fractional Solute Discharge Formula

​GoNumber of Equilibrium Leaching Stages based on Recovery of Solute Formula

Number of Equilibirum Leaching Stages based on Solute Underflow Example

Number of Equilibirum Leaching Stages based on Solute Underflow Solution

Number of Equilibirum Leaching Stages based on Solute Underflow Formula Elements

Other Formulas to find Number of Equilibrium Stages in Leaching

Other formulas in Counter Current Continuous Leaching for Constant Overflow (Pure Solvent) category

How to Evaluate Number of Equilibirum Leaching Stages based on Solute Underflow?

FAQs on Number of Equilibirum Leaching Stages based on Solute Underflow

Variable Name

GoNumber of Equilibirum Leaching Stages based on Fractional Solute Discharge Formula

GoNumber of Equilibrium Leaching Stages based on Recovery of Solute Formula