Pressure of Component using K-Value Expression for Modified Raoult's Law Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/K value
PT = (γRaoults*PSaturated)/K
This formula uses 4 Variables
Variables Used
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.
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.
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.
K value - K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.
STEP 1: Convert Input(s) to Base Unit
Activity Coefficient in Raoults Law: 0.9 --> No Conversion Required
Saturated Pressure in Raoults Law: 200 Pascal --> 200 Pascal No Conversion Required
K value: 0.85 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PT = (γRaoults*PSaturated)/K --> (0.9*200)/0.85
Evaluating ... ...
PT = 211.764705882353
STEP 3: Convert Result to Output's Unit
211.764705882353 Pascal --> No Conversion Required
FINAL ANSWER
211.764705882353 211.7647 Pascal <-- Total Pressure of Gas
(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

Pressure of Component using K-Value Expression for Modified Raoult's Law Formula

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

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 Pressure of Component using K-Value Expression for Modified Raoult's Law?

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

How to calculate Pressure of Component using K-Value Expression for Modified Raoult's Law using this online calculator? To use this online calculator for Pressure of Component using K-Value Expression for Modified Raoult's Law, enter Activity Coefficient in Raoults Law Raoults), Saturated Pressure in Raoults Law (PSaturated) & K value (K) and hit the calculate button. Here is how the Pressure of Component using K-Value Expression for Modified Raoult's Law calculation can be explained with given input values -> 211.7647 = (0.9*200)/0.85.

FAQ

What is Pressure of Component using K-Value Expression for Modified Raoult's Law?
Pressure of component using K-value expression for Modified Raoult's law formula is defined as ratio of product of activity coefficient of that component and saturated pressure of that component to product of K-value of that component and is represented as PT = (γRaoults*PSaturated)/K or Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/K value. Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances, 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 & K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.
How to calculate Pressure of Component using K-Value Expression for Modified Raoult's Law?
Pressure of component using K-value expression for Modified Raoult's law formula is defined as ratio of product of activity coefficient of that component and saturated pressure of that component to product of K-value of that component is calculated using Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/K value. To calculate Pressure of Component using K-Value Expression for Modified Raoult's Law, you need Activity Coefficient in Raoults Law Raoults), Saturated Pressure in Raoults Law (PSaturated) & K value (K). With our tool, you need to enter the respective value for Activity Coefficient in Raoults Law, Saturated Pressure in Raoults Law & K value 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 Total Pressure of Gas?
In this formula, Total Pressure of Gas uses Activity Coefficient in Raoults Law, Saturated Pressure in Raoults Law & K value. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Fugacity Coefficient in Raoults Law)
  • Total Pressure of Gas = Saturated Pressure in Raoults Law/K value
  • Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Fugacity Coefficient)
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