Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation Calculator

✖The NRTL Equation Coefficient (b21) is the coefficient used in the NRTL equation for component 2 in the binary system. It's independent of concentration and temperature.ⓘ NRTL Equation Coefficient (b21) [b₂₁]			+10% -10%
✖Temperature for NRTL model is the degree or intensity of heat present in a substance or object.ⓘ Temperature for NRTL model [T_NRTL]			+10% -10%
✖The NRTL Equation Coefficient (b12) is the coefficient used in the NRTL equation for component 1 in the binary system. It's independent of concentration and temperature.ⓘ NRTL Equation Coefficient (b12) [b₁₂]			+10% -10%
✖NRTL Equation Coefficient (α) is the coefficient used in the NRTL equation which is parameter specific to a particular pair of species.ⓘ NRTL Equation Coefficient (α) [α]			+10% -10%

✖Activity Coefficient 1 for infinite dilution for component 1 is a factor used to account for deviations from ideal behavior in a mixture of chemical substances for the condition infinite dilution.ⓘ Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation [γ1^∞]

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Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Activity Coefficient 1 for infinite dilution = exp((NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model))+(NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model))*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model)))
γ1^∞ = exp((b₂₁/([R]*T_NRTL))+(b₁₂/([R]*T_NRTL))*exp(-(α*b₁₂)/([R]*T_NRTL)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Activity Coefficient 1 for infinite dilution - Activity Coefficient 1 for infinite dilution for component 1 is a factor used to account for deviations from ideal behavior in a mixture of chemical substances for the condition infinite dilution.
NRTL Equation Coefficient (b21) - (Measured in Joule Per Mole) - The NRTL Equation Coefficient (b21) is the coefficient used in the NRTL equation for component 2 in the binary system. It's independent of concentration and temperature.
Temperature for NRTL model - (Measured in Kelvin) - Temperature for NRTL model is the degree or intensity of heat present in a substance or object.
NRTL Equation Coefficient (b12) - (Measured in Joule Per Mole) - The NRTL Equation Coefficient (b12) is the coefficient used in the NRTL equation for component 1 in the binary system. It's independent of concentration and temperature.
NRTL Equation Coefficient (α) - NRTL Equation Coefficient (α) is the coefficient used in the NRTL equation which is parameter specific to a particular pair of species.

STEP 1: Convert Input(s) to Base Unit

NRTL Equation Coefficient (b21): 0.12 Joule Per Mole --> 0.12 Joule Per Mole No Conversion Required
Temperature for NRTL model: 550 Kelvin --> 550 Kelvin No Conversion Required
NRTL Equation Coefficient (b12): 0.19 Joule Per Mole --> 0.19 Joule Per Mole No Conversion Required
NRTL Equation Coefficient (α): 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ1^∞ = exp((b₂₁/([R]*T_NRTL))+(b₁₂/([R]*T_NRTL))*exp(-(α*b₁₂)/([R]*T_NRTL))) --> exp((0.12/([R]*550))+(0.19/([R]*550))*exp(-(0.15*0.19)/([R]*550)))

Evaluating ... ...

γ1^∞ = 1.00006779191167

STEP 3: Convert Result to Output's Unit

1.00006779191167 --> No Conversion Required

FINAL ANSWER

1.00006779191167 ≈ 1.000068 <-- Activity Coefficient 1 for infinite dilution

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< Local Composition Models Calculators

Excess Gibbs Free Energy using NRTL Equation

LaTeX Go Excess Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Mole Fraction of Component 2 in Liquid Phase*[R]*Temperature for NRTL model)*((((exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b21))/[R]*Temperature for NRTL model))*(NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model)))/(Mole Fraction of Component 1 in Liquid Phase+Mole Fraction of Component 2 in Liquid Phase*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b21))/[R]*Temperature for NRTL model)))+(((exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/[R]*Temperature for NRTL model))*(NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model)))/(Mole Fraction of Component 2 in Liquid Phase+Mole Fraction of Component 1 in Liquid Phase*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/[R]*Temperature for NRTL model))))

Activity Coefficient for Component 1 using NRTL Equation

LaTeX Go Activity Coefficient of Component 1 = exp((Mole Fraction of Component 2 in Liquid Phase^2)*(((NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model))*(exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b21))/([R]*Temperature for NRTL model))/(Mole Fraction of Component 1 in Liquid Phase+Mole Fraction of Component 2 in Liquid Phase*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b21))/([R]*Temperature for NRTL model))))^2)+((exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model))*NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model))/((Mole Fraction of Component 2 in Liquid Phase+Mole Fraction of Component 1 in Liquid Phase*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model)))^2))))

Activity Coefficient for Component 1 using Wilson Equation

LaTeX Go Activity Coefficient of Component 1 = exp((ln(Mole Fraction of Component 1 in Liquid Phase+Mole Fraction of Component 2 in Liquid Phase*Wilson Equation Coefficient (Λ12)))+Mole Fraction of Component 2 in Liquid Phase*((Wilson Equation Coefficient (Λ12)/(Mole Fraction of Component 1 in Liquid Phase+Mole Fraction of Component 2 in Liquid Phase*Wilson Equation Coefficient (Λ12)))-(Wilson Equation Coefficient (Λ21)/(Mole Fraction of Component 2 in Liquid Phase+Mole Fraction of Component 1 in Liquid Phase*Wilson Equation Coefficient (Λ21)))))

Excess Gibbs Energy using Wilson Equation

LaTeX Go Excess Gibbs Free Energy = (-Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase+Mole Fraction of Component 2 in Liquid Phase*Wilson Equation Coefficient (Λ12))-Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase+Mole Fraction of Component 1 in Liquid Phase*Wilson Equation Coefficient (Λ21)))*[R]*Temperature for Wilson Equation

Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation Formula

LaTeX Go

What is Activity Coefficient?

An activity coefficient is a factor used in thermodynamics to account for deviations from ideal behavior in a mixture of chemical substances. In an ideal mixture, the microscopic interactions between each pair of chemical species are the same (or macroscopically equivalent, the enthalpy change of solution and volume variation in mixing is zero) and, as a result, properties of the mixtures can be expressed directly in terms of simple concentrations or partial pressures of the substances present e.g. Raoult's law. Deviations from ideality are accommodated by modifying the concentration by an activity coefficient. Analogously, expressions involving gases can be adjusted for non-ideality by scaling partial pressures by a fugacity coefficient.

Define NRTL Equation Model.

The non-random two-liquid model (abbreviated NRTL model) is an activity coefficient model that correlates the activity coefficients of a compound with its mole fractions in the liquid phase concerned. It is frequently applied in the field of chemical engineering to calculate phase equilibria. The concept of NRTL is based on the hypothesis of Wilson that the local concentration around a molecule is different from the bulk concentration. The NRTL model belongs to the so-called local-composition models. Other models of this type are the Wilson model, the UNIQUAC model, and the group contribution model UNIFAC.

How to Calculate Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation?

Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation calculator uses Activity Coefficient 1 for infinite dilution = exp((NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model))+(NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model))*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model))) to calculate the Activity Coefficient 1 for infinite dilution, The Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation formula is defined as a function of the parameters independent of concentration and temperature and mole fraction in the liquid phase of components 1 & 2 in the binary system when there is infinite dilution means liquid phase of components 2 is unity. Activity Coefficient 1 for infinite dilution is denoted by γ1^∞ symbol.

How to calculate Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation using this online calculator? To use this online calculator for Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation, enter NRTL Equation Coefficient (b21) (b₂₁), Temperature for NRTL model (T_NRTL), NRTL Equation Coefficient (b12) (b₁₂) & NRTL Equation Coefficient (α) (α) and hit the calculate button. Here is how the Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation calculation can be explained with given input values -> 1.000068 = exp((0.12/([R]*550))+(0.19/([R]*550))*exp(-(0.15*0.19)/([R]*550))).

FAQ

What is Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation?

The Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation formula is defined as a function of the parameters independent of concentration and temperature and mole fraction in the liquid phase of components 1 & 2 in the binary system when there is infinite dilution means liquid phase of components 2 is unity and is represented as γ1^∞ = exp((b₂₁/([R]*T_NRTL))+(b₁₂/([R]*T_NRTL))*exp(-(α*b₁₂)/([R]*T_NRTL))) or Activity Coefficient 1 for infinite dilution = exp((NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model))+(NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model))*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model))). The NRTL Equation Coefficient (b21) is the coefficient used in the NRTL equation for component 2 in the binary system. It's independent of concentration and temperature, Temperature for NRTL model is the degree or intensity of heat present in a substance or object, The NRTL Equation Coefficient (b12) is the coefficient used in the NRTL equation for component 1 in the binary system. It's independent of concentration and temperature & NRTL Equation Coefficient (α) is the coefficient used in the NRTL equation which is parameter specific to a particular pair of species.

How to calculate Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation?

The Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation formula is defined as a function of the parameters independent of concentration and temperature and mole fraction in the liquid phase of components 1 & 2 in the binary system when there is infinite dilution means liquid phase of components 2 is unity is calculated using Activity Coefficient 1 for infinite dilution = exp((NRTL Equation Coefficient (b21)/([R]*Temperature for NRTL model))+(NRTL Equation Coefficient (b12)/([R]*Temperature for NRTL model))*exp(-(NRTL Equation Coefficient (α)*NRTL Equation Coefficient (b12))/([R]*Temperature for NRTL model))). To calculate Activity Coefficient for Component 1 for Infinite Dilution using NRTL Equation, you need NRTL Equation Coefficient (b21) (b₂₁), Temperature for NRTL model (T_NRTL), NRTL Equation Coefficient (b12) (b₁₂) & NRTL Equation Coefficient (α) (α). With our tool, you need to enter the respective value for NRTL Equation Coefficient (b21), Temperature for NRTL model, NRTL Equation Coefficient (b12) & NRTL Equation Coefficient (α) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Activity Coefficient 1 for infinite dilution?

In this formula, Activity Coefficient 1 for infinite dilution uses NRTL Equation Coefficient (b21), Temperature for NRTL model, NRTL Equation Coefficient (b12) & NRTL Equation Coefficient (α). We can use 1 other way(s) to calculate the same, which is/are as follows -

Activity Coefficient 1 for infinite dilution = -ln(Wilson Equation Coefficient (Λ12))+1-Wilson Equation Coefficient (Λ21)

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