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Entropy of mixing Formula

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Entropy of mixing is the entropy due to the presence of different type of atoms in a solid solution. The default unit is Joule per mole per kelvin. Check FAQs

ΔS mix = 8.314 \cdot (X A \cdot \ln (X A) + (1 - X A) \cdot \ln (1 - X A))

ΔS_mix - Entropy of mixing?X_A - Mole fraction of element A?

Entropy of mixing Example

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Here is how the Entropy of mixing equation looks like with Values.

Here is how the Entropy of mixing equation looks like with Units.

Here is how the Entropy of mixing equation looks like.

-5.7628 = 8.314 \cdot (0.5 \cdot \ln (0.5) + (1 - 0.5) \cdot \ln (1 - 0.5))

-5.7628 = 8.314 \cdot (0.5 \cdot \ln (0.5) + (1 - 0.5) \cdot \ln (1 - 0.5))

-5.7628 = 8.314 \cdot (0.5 \cdot \ln (0.5) + (1 - 0.5) \cdot \ln (1 - 0.5))

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Entropy of mixing Solution

Follow our step by step solution on how to calculate Entropy of mixing?

FIRST Step Consider the formula

ΔS mix = 8.314 \cdot (X A \cdot \ln (X A) + (1 - X A) \cdot \ln (1 - X A))

Next Step Substitute values of Variables

∴

ΔS mix = 8.314 \cdot (0.5 \cdot \ln (0.5) + (1 - 0.5) \cdot \ln (1 - 0.5))

Next Step Prepare to Evaluate

∴

ΔS mix = 8.314 \cdot (0.5 \cdot \ln (0.5) + (1 - 0.5) \cdot \ln (1 - 0.5))

Next Step Evaluate

∴

ΔS mix = -5.76282565917538

LAST Step Rounding Answer

∴

ΔS mix = -5.7628

Entropy of mixing Formula Elements

Variables

Functions

Entropy of mixing

Entropy of mixing is the entropy due to the presence of different type of atoms in a solid solution. The default unit is Joule per mole per kelvin.

Symbol: ΔS_mix

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Entropy of mixing

Mole fraction of element A

Mole fraction of element A in A-B binary alloy.

Symbol: X_A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mole fraction of element A

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Composition and Diffusion category

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J = D \cdot (\frac{ΔC}{d})

Go Mass percent to volume percent

V 1 = M 1 \cdot ρ 2 \cdot \frac{100}{M 1 \cdot ρ 2 + (100 - M 1) \cdot 𝜌 1}

Go Atom percent to mass percent

m 1 = X 1 \cdot A 1 \cdot \frac{100}{X 1 \cdot A 1 + (100 - X 1) \cdot A 2}

Go Equilibrium Vacancy Concentration

N v = N \cdot \exp (- \frac{Q v}{[BoltZ] \cdot T})

How to Evaluate Entropy of mixing?

Entropy of mixing evaluator uses Entropy of mixing = 8.314*(Mole fraction of element A*ln(Mole fraction of element A)+(1-Mole fraction of element A)*ln(1-Mole fraction of element A)) to evaluate the Entropy of mixing, Entropy of mixing is entropy due to the presence different types of atoms in the solid solution. Entropy of mixing is denoted by ΔS_mix symbol.

How to evaluate Entropy of mixing using this online evaluator? To use this online evaluator for Entropy of mixing, enter Mole fraction of element A (X_A) and hit the calculate button.

FAQs on Entropy of mixing

What is the formula to find Entropy of mixing?

The formula of Entropy of mixing is expressed as Entropy of mixing = 8.314*(Mole fraction of element A*ln(Mole fraction of element A)+(1-Mole fraction of element A)*ln(1-Mole fraction of element A)). Here is an example- -5.762826 = 8.314*(0.5*ln(0.5)+(1-0.5)*ln(1-0.5)).

How to calculate Entropy of mixing?

With Mole fraction of element A (X_A) we can find Entropy of mixing using the formula - Entropy of mixing = 8.314*(Mole fraction of element A*ln(Mole fraction of element A)+(1-Mole fraction of element A)*ln(1-Mole fraction of element A)). This formula also uses Natural Logarithm (ln) function(s).

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