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Entropy of mixing Calculator

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✖Mole fraction of element A in A-B binary alloy.ⓘ Mole fraction of element A [X_A]

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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.ⓘ Entropy of mixing [ΔS_mix]

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Formula

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Entropy of mixing

Formula

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

Example

-5.762826 = 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

STEP 0: Pre-Calculation Summary

Formula Used

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))
ΔS_mix = 8.314*(X_A*ln(X_A)+(1-X_A)*ln(1-X_A))
This formula uses 1 Functions, 2 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Mole fraction of element A: 0.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔS_mix = 8.314*(X_A*ln(X_A)+(1-X_A)*ln(1-X_A)) --> 8.314*(0.5*ln(0.5)+(1-0.5)*ln(1-0.5))

Evaluating ... ...

ΔS_mix = -5.76282565917538

STEP 3: Convert Result to Output's Unit

-5.76282565917538 --> No Conversion Required

FINAL ANSWER

-5.76282565917538 ≈ -5.762826 <-- Entropy of mixing

(Calculation completed in 00.004 seconds)

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< Composition and Diffusion Calculators

Atom percent to mass percent

Go Mass Percent of First Element = Atomic percent of first element*Atomic mass of first element*100/(Atomic percent of first element*Atomic mass of first element+(100-Atomic percent of first element)*Atomic mass of second element)

Mass percent to volume percent

Go Volume percent of first phase = Mass percent of first phase*Density of the second phase*100/(Mass percent of first phase*Density of the second phase+(100-Mass percent of first phase)*Density of the first phase)

Entropy of mixing

Go 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))

Diffusion Flux

Go Diffusion flux = Diffusion Coefficient*(Concentration difference/Distance)

Entropy of mixing 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))
ΔS_mix = 8.314*(X_A*ln(X_A)+(1-X_A)*ln(1-X_A))

Contributions to entropy

There are mainly two contributions for entropy in alloy systems. They are thermal entropy and configurational entropy. Thermal entropy is the entropy due to the arrangement of atoms in different energy levels, whereas configurational entropy is due to the presence of different types of atoms. The total entropy is sum of both entropies. Mixing entropy considers only the configurational entropy.

How to Calculate Entropy of mixing?

Entropy of mixing calculator 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 calculate 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 calculate Entropy of mixing using this online calculator? To use this online calculator for Entropy of mixing, enter Mole fraction of element A (X_A) and hit the calculate button. Here is how the Entropy of mixing calculation can be explained with given input values -> -5.762826 = 8.314*(0.5*ln(0.5)+(1-0.5)*ln(1-0.5)).

FAQ

What is Entropy of mixing?

Entropy of mixing is entropy due to the presence different types of atoms in the solid solution and is represented as ΔS_mix = 8.314*(X_A*ln(X_A)+(1-X_A)*ln(1-X_A)) or 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)). Mole fraction of element A in A-B binary alloy.

How to calculate Entropy of mixing?

Entropy of mixing is entropy due to the presence different types of atoms in the solid solution is calculated using 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 calculate Entropy of mixing, you need Mole fraction of element A (X_A). With our tool, you need to enter the respective value for Mole fraction of element A and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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