Activity Coefficient of Component using K-Value for Modified Raoult's Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law
γRaoults = (K*PT)/PSaturated
This formula uses 4 Variables
Variables Used
Activity Coefficient in Raoults Law - Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
K value - K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.
Total Pressure of Gas - (Measured in Pascal) - Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
Saturated Pressure in Raoults Law - (Measured in Pascal) - Saturated Pressure in Raoults Law is the pressure at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
STEP 1: Convert Input(s) to Base Unit
K value: 0.85 --> No Conversion Required
Total Pressure of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required
Saturated Pressure in Raoults Law: 200 Pascal --> 200 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γRaoults = (K*PT)/PSaturated --> (0.85*102100)/200
Evaluating ... ...
γRaoults = 433.925
STEP 3: Convert Result to Output's Unit
433.925 --> No Conversion Required
FINAL ANSWER
433.925 <-- Activity Coefficient in Raoults Law
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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18 K values for Gamma/Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law Calculators

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE
Go Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Fugacity Coefficient*Total Pressure of Gas)
Fugacity Coefficient using Gamma-Phi Formulation of VLE
Go Fugacity Coefficient = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)
Activity Coefficient using Gamma-Phi Formulation of VLE
Go Activity Coefficient = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Saturated pressure)
Saturated Pressure using Gamma-Phi Formulation of VLE
Go Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient)
Total Pressure using Gamma-Phi Formulation of VLE
Go Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Fugacity Coefficient)
Fugacity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation
Go Fugacity Coefficient in Raoults Law = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Total Pressure of Gas)
Pressure using K-Value Expression for Gamma-Phi Formulation
Go Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Fugacity Coefficient in Raoults Law)
K-Value of Component using Gamma-Phi Formulation
Go K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(Fugacity Coefficient in Raoults Law*Total Pressure of Gas)
Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation
Go Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation
Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation
Go Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law
Saturated Pressure of Component using K-value Expression for Modified Raoult's Law
Go Saturated Pressure in Raoults Law = (K value*Total Pressure of Gas)/Activity Coefficient in Raoults Law
Activity Coefficient of Component using K-Value for Modified Raoult's Law
Go Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law
Pressure of Component using K-Value Expression for Modified Raoult's Law
Go Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/K value
K-Value of Component using Modified Raoult's Law
Go K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/Total Pressure of Gas
K-Value or Vapour-Liquid Distribution Ratio of Component
Go K value = Mole Fraction of Component in Vapor Phase/Mole Fraction of Component in Liquid Phase
Saturated Pressure of Component using K-value Expression for Raoult's Law
Go Saturated Pressure in Raoults Law = K value*Total Pressure of Gas
Pressure using K-value Expression for Raoult's Law
Go Total Pressure of Gas = Saturated Pressure in Raoults Law/K value
K-Value of Component using Raoult's Law
Go K value = Saturated Pressure in Raoults Law/Total Pressure of Gas

Activity Coefficient of Component using K-Value for Modified Raoult's Law Formula

Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law
γRaoults = (K*PT)/PSaturated

Define K-Value and it's Relation with Relative Volatility (α).

The K value or vapour-liquid distribution ratio of a component is the ratio of vapour mole fraction of that component to the liquid mole fraction of that component. A K value for a more volatile component is larger than a K value for a less volatile component. That means that α (relative volatility) ≥ 1 since the larger K value of the more volatile component is in the numerator and the smaller K of the less volatile component is in the denominator.

What are the Limitations of Henry Law?

Henry law is only applicable when the molecules of the system are in a state of equilibrium. The second limitation is that it does not hold true when gases are placed under extremely high pressure. The third limitation that it is not applicable when the gas and the solution participate in chemical reactions with each other.

How to Calculate Activity Coefficient of Component using K-Value for Modified Raoult's Law?

Activity Coefficient of Component using K-Value for Modified Raoult's Law calculator uses Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law to calculate the Activity Coefficient in Raoults Law, The Activity Coefficient of Component using K-Value for Modified Raoult's Law formula is defined as the ratio of the product of the K-value of that component and the pressure to the saturated pressure of that component. Activity Coefficient in Raoults Law is denoted by γRaoults symbol.

How to calculate Activity Coefficient of Component using K-Value for Modified Raoult's Law using this online calculator? To use this online calculator for Activity Coefficient of Component using K-Value for Modified Raoult's Law, enter K value (K), Total Pressure of Gas (PT) & Saturated Pressure in Raoults Law (PSaturated) and hit the calculate button. Here is how the Activity Coefficient of Component using K-Value for Modified Raoult's Law calculation can be explained with given input values -> 1280.631 = (0.85*102100)/200.

FAQ

What is Activity Coefficient of Component using K-Value for Modified Raoult's Law?
The Activity Coefficient of Component using K-Value for Modified Raoult's Law formula is defined as the ratio of the product of the K-value of that component and the pressure to the saturated pressure of that component and is represented as γRaoults = (K*PT)/PSaturated or Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law. K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container & Saturated Pressure in Raoults Law is the pressure at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
How to calculate Activity Coefficient of Component using K-Value for Modified Raoult's Law?
The Activity Coefficient of Component using K-Value for Modified Raoult's Law formula is defined as the ratio of the product of the K-value of that component and the pressure to the saturated pressure of that component is calculated using Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law. To calculate Activity Coefficient of Component using K-Value for Modified Raoult's Law, you need K value (K), Total Pressure of Gas (PT) & Saturated Pressure in Raoults Law (PSaturated). With our tool, you need to enter the respective value for K value, Total Pressure of Gas & Saturated Pressure in Raoults Law 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 in Raoults Law?
In this formula, Activity Coefficient in Raoults Law uses K value, Total Pressure of Gas & Saturated Pressure in Raoults Law. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation
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