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))
ΔSmix = 8.314*(XA*ln(XA)+(1-XA)*ln(1-XA))
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
ΔSmix = 8.314*(XA*ln(XA)+(1-XA)*ln(1-XA)) --> 8.314*(0.5*ln(0.5)+(1-0.5)*ln(1-0.5))
Evaluating ... ...
ΔSmix = -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)

Credits

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Bhilai Institute of Technology (BIT), Raipur
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9 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)
Atom percent
Go Atomic percent of first element = 100*Mass Percent of First Element*Atomic mass of second element/(Mass Percent of First Element*Atomic mass of second element+(100-Mass Percent of First Element)*Atomic mass of first element)
Non-steady state diffusion
Go Concentration at x Distance = Initial Concentration+(Surface concentration-Initial Concentration)*(1-erf(Distance/(2*sqrt(Diffusion Coefficient*Diffusion Time))))
Volume percent to mass percent
Go Mass percent of first phase = Volume percent of first phase*Density of the first phase*100/(Volume percent of first phase*Density of the first phase+(100-Volume percent of first phase)*Density of the second phase)
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))
Equilibrium Vacancy Concentration
Go Number of vacancies = Number of atomic sites*exp(-Activation energy for vacancy formation/([BoltZ]*Temperature))
Temperature dependent diffusion coefficient
Go Diffusion Coefficient = Pre-exponential factor*e^(-Activation energy for diffusion/(Universal Gas Constant*Temperature))
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))
ΔSmix = 8.314*(XA*ln(XA)+(1-XA)*ln(1-XA))

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 ΔSmix 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 (XA) 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 ΔSmix = 8.314*(XA*ln(XA)+(1-XA)*ln(1-XA)) 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 (XA). 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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