Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient Calculator

✖The Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1.ⓘ Saturated Fugacity Coefficient of Component 1 [ϕ1^sat]			+10% -10%
✖Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Liquid Vapour System [T_VLE]			+10% -10%
✖The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.ⓘ Second Virial Coefficient 11 [B₁₁]			+10% -10%

✖Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.ⓘ Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient [P1^sat]

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Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11
P1^sat = (ln(ϕ1^sat)*[R]*T_VLE)/B₁₁
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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

Saturated Pressure of Component 1 - (Measured in Pascal) - Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
Saturated Fugacity Coefficient of Component 1 - The Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1.
Temperature of Liquid Vapour System - (Measured in Kelvin) - Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.
Second Virial Coefficient 11 - (Measured in Cubic Meter) - The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.

STEP 1: Convert Input(s) to Base Unit

Saturated Fugacity Coefficient of Component 1: 1.17 --> No Conversion Required
Temperature of Liquid Vapour System: 400 Kelvin --> 400 Kelvin No Conversion Required
Second Virial Coefficient 11: 0.25 Cubic Meter --> 0.25 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P1^sat = (ln(ϕ1^sat)*[R]*T_VLE)/B₁₁ --> (ln(1.17)*[R]*400)/0.25

Evaluating ... ...

P1^sat = 2088.6428806206

STEP 3: Convert Result to Output's Unit

2088.6428806206 Pascal --> No Conversion Required

FINAL ANSWER

2088.6428806206 ≈ 2088.643 Pascal <-- Saturated Pressure of Component 1

(Calculation completed in 00.020 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient

LaTeX Go Saturated Fugacity Coefficient of Component 1 = exp((Second Virial Coefficient 11*Saturated Pressure of Component 1)/([R]*Temperature of Liquid Vapour System))

Saturated Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficient

LaTeX Go Saturated Fugacity Coefficient of Component 2 = exp((Second Virial Coefficient 22*Saturated Pressure of Component 2)/([R]*Temperature of Liquid Vapour System))

Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient

LaTeX Go Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1

Second Virial Coefficient of Comp. 2 using Saturated Pressure and Sat. Vapour Fugacity Coefficient

LaTeX Go Second Virial Coefficient 22 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 2

Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient Formula

LaTeX Go

Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11
P1^sat = (ln(ϕ1^sat)*[R]*T_VLE)/B₁₁

Why we use Virial Equation of State?

The perfect gas law is an imperfect description of a real gas, we can combine the perfect gas law and the compressibility factors of real gases to develop an equation to describe the isotherms of a real gas. This Equation is known as the Virial Equation of state, which expresses the deviation from ideality in terms of a power series in the density. The actual behavior of fluids is often described with the virial equation: PV = RT[1 + (B/V) + (C/(V^2)) + ...] , where, B is the second virial coefficient, C is called the third virial coefficient, etc. in which the temperature-dependent constants for each gas are known as the virial coefficients. The second virial coefficient, B, has units of volume (L).

What is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?

Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient calculator uses Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11 to calculate the Saturated Pressure of Component 1, The Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the second virial coefficient for component 1 to itself. Saturated Pressure of Component 1 is denoted by P1^sat symbol.

How to calculate Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient using this online calculator? To use this online calculator for Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient, enter Saturated Fugacity Coefficient of Component 1 (ϕ1^sat), Temperature of Liquid Vapour System (T_VLE) & Second Virial Coefficient 11 (B₁₁) and hit the calculate button. Here is how the Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient calculation can be explained with given input values -> 2088.643 = (ln(1.17)*[R]*400)/0.25.

FAQ

What is Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?

The Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the second virial coefficient for component 1 to itself and is represented as P1^sat = (ln(ϕ1^sat)*[R]*T_VLE)/B₁₁ or Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11. The Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1, Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object & The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.

How to calculate Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?

The Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the second virial coefficient for component 1 to itself is calculated using Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11. To calculate Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient, you need Saturated Fugacity Coefficient of Component 1 (ϕ1^sat), Temperature of Liquid Vapour System (T_VLE) & Second Virial Coefficient 11 (B₁₁). With our tool, you need to enter the respective value for Saturated Fugacity Coefficient of Component 1, Temperature of Liquid Vapour System & Second Virial Coefficient 11 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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