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Geometric Mean of Equilibrium Line Slope Formula

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The Mean Slope of Equilibrium Curve is the geometric mean slope of the equilibrium curve line i.e. the distribution factor of the solute. Check FAQs

m = \sqrt{m F \cdot m R}

m - Mean Slope of Equilibrium Curve?m_F - Feed Point Slope of Equilibrium Curve?m_R - Raffinate Point Slope of Equilibrium Curve?

Geometric Mean of Equilibrium Line Slope Example

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Here is how the Geometric Mean of Equilibrium Line Slope equation looks like with Values.

Here is how the Geometric Mean of Equilibrium Line Slope equation looks like with Units.

Here is how the Geometric Mean of Equilibrium Line Slope equation looks like.

3.722 = \sqrt{3.721 \cdot 3.723}

3.722 = \sqrt{3.721 \cdot 3.723}

3.722 = \sqrt{3.721 \cdot 3.723}

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Geometric Mean of Equilibrium Line Slope Solution

Follow our step by step solution on how to calculate Geometric Mean of Equilibrium Line Slope?

FIRST Step Consider the formula

m = \sqrt{m F \cdot m R}

Next Step Substitute values of Variables

∴

m = \sqrt{3.721 \cdot 3.723}

Next Step Prepare to Evaluate

∴

m = \sqrt{3.721 \cdot 3.723}

Next Step Evaluate

∴

m = 3.72199986566362

LAST Step Rounding Answer

∴

m = 3.722

Geometric Mean of Equilibrium Line Slope Formula Elements

Variables

Functions

Mean Slope of Equilibrium Curve

The Mean Slope of Equilibrium Curve is the geometric mean slope of the equilibrium curve line i.e. the distribution factor of the solute.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mean Slope of Equilibrium Curve

Feed Point Slope of Equilibrium Curve

The Feed Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the feed point i.e. the distribution factor of the solute based on feed concentrations.

Symbol: m_F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Feed Point Slope of Equilibrium Curve

Raffinate Point Slope of Equilibrium Curve

The Raffinate Point Slope of Equilibrium Curve is the slope of the equilibrium curve line at the raffinate point i.e. the distribution factor of the solute based on raffinate concentration.

Symbol: m_R

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Raffinate Point Slope of Equilibrium Curve

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Kremser's Equation for Liquid Liquid Extraction category

Go Distribution Coefficient of Carrier Liquid from Activity Coefficients

K CarrierLiq = \frac{Υa R}{Υa E}

Go Distribution Coefficient of Carrier Liquid from Mass Fraction

K CarrierLiq = \frac{y A}{x A}

Go Distribution Coefficient of Solute from Activity Coefficient

K Solute = \frac{Υc R}{Υc E}

Go Distribution Coefficient of Solute from Mass Fractions

K Solute = \frac{y C}{x C}

How to Evaluate Geometric Mean of Equilibrium Line Slope?

Geometric Mean of Equilibrium Line Slope evaluator uses Mean Slope of Equilibrium Curve = sqrt(Feed Point Slope of Equilibrium Curve*Raffinate Point Slope of Equilibrium Curve) to evaluate the Mean Slope of Equilibrium Curve, The Geometric Mean of Equilibrium Line Slope formula is defined as the mean value of the slope of equilibrium line, applicable for cases where equilibrium line is not straight. Mean Slope of Equilibrium Curve is denoted by m symbol.

How to evaluate Geometric Mean of Equilibrium Line Slope using this online evaluator? To use this online evaluator for Geometric Mean of Equilibrium Line Slope, enter Feed Point Slope of Equilibrium Curve (m_F) & Raffinate Point Slope of Equilibrium Curve (m_R) and hit the calculate button.

FAQs on Geometric Mean of Equilibrium Line Slope

What is the formula to find Geometric Mean of Equilibrium Line Slope?

The formula of Geometric Mean of Equilibrium Line Slope is expressed as Mean Slope of Equilibrium Curve = sqrt(Feed Point Slope of Equilibrium Curve*Raffinate Point Slope of Equilibrium Curve). Here is an example- 3.722 = sqrt(3.721*3.723).

How to calculate Geometric Mean of Equilibrium Line Slope?

With Feed Point Slope of Equilibrium Curve (m_F) & Raffinate Point Slope of Equilibrium Curve (m_R) we can find Geometric Mean of Equilibrium Line Slope using the formula - Mean Slope of Equilibrium Curve = sqrt(Feed Point Slope of Equilibrium Curve*Raffinate Point Slope of Equilibrium Curve). This formula also uses Square Root (sqrt) function(s).

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Geometric Mean of Equilibrium Line Slope Formula

Geometric Mean of Equilibrium Line Slope Example

Geometric Mean of Equilibrium Line Slope Solution

Geometric Mean of Equilibrium Line Slope Formula Elements

Other formulas in Kremser's Equation for Liquid Liquid Extraction category

How to Evaluate Geometric Mean of Equilibrium Line Slope?

FAQs on Geometric Mean of Equilibrium Line Slope

Variable Name