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

✖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 Component 1 [P1^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 Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1.ⓘ Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient [ϕ1^sat]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Second Virial Coefficient 11: 0.25 Cubic Meter --> 0.25 Cubic Meter No Conversion Required
Saturated Pressure of Component 1: 10 Pascal --> 10 Pascal No Conversion Required
Temperature of Liquid Vapour System: 400 Kelvin --> 400 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ1^sat = exp((B₁₁*P1^sat)/([R]*T_VLE)) --> exp((0.25*10)/([R]*400))

Evaluating ... ...

ϕ1^sat = 1.00075198481794

STEP 3: Convert Result to Output's Unit

1.00075198481794 --> No Conversion Required

FINAL ANSWER

1.00075198481794 ≈ 1.000752 <-- Saturated Fugacity Coefficient of Component 1

(Calculation completed in 00.020 seconds)

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

LaTeX Go

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

Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient calculator uses Saturated Fugacity Coefficient of Component 1 = exp((Second Virial Coefficient 11*Saturated Pressure of Component 1)/([R]*Temperature of Liquid Vapour System)) to calculate the Saturated Fugacity Coefficient of Component 1, The Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient formula is defined as the exponential of the ratio of the product of second virial coefficient for component 1 to itself and saturated pressure of component 1 to the product of the universal gas constant and the temperature. Saturated Fugacity Coefficient of Component 1 is denoted by ϕ1^sat symbol.

How to calculate Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient using this online calculator? To use this online calculator for Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient, enter Second Virial Coefficient 11 (B₁₁), Saturated Pressure of Component 1 (P1^sat) & Temperature of Liquid Vapour System (T_VLE) and hit the calculate button. Here is how the Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient calculation can be explained with given input values -> 1.000752 = exp((0.25*10)/([R]*400)).

FAQ

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

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

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

The Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient formula is defined as the exponential of the ratio of the product of second virial coefficient for component 1 to itself and saturated pressure of component 1 to the product of the universal gas constant and the temperature is calculated using Saturated Fugacity Coefficient of Component 1 = exp((Second Virial Coefficient 11*Saturated Pressure of Component 1)/([R]*Temperature of Liquid Vapour System)). To calculate Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient, you need Second Virial Coefficient 11 (B₁₁), Saturated Pressure of Component 1 (P1^sat) & Temperature of Liquid Vapour System (T_VLE). With our tool, you need to enter the respective value for Second Virial Coefficient 11, Saturated Pressure of Component 1 & Temperature of Liquid Vapour System 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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