Reduced Second Virial Coefficient using Second Virial Coefficient Calculator

✖The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.ⓘ Second Virial Coefficient [B]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%
✖Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.ⓘ Critical Temperature [T_c]			+10% -10%

✖The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.ⓘ Reduced Second Virial Coefficient using Second Virial Coefficient [B^{^}]

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Reduced Second Virial Coefficient using Second Virial Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature)
B^{^} = (B*P_c)/([R]*T_c)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Reduced Second Virial Coefficient - The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.
Second Virial Coefficient - (Measured in Cubic Meter) - The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Critical Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

STEP 1: Convert Input(s) to Base Unit

Second Virial Coefficient: 0.28 Cubic Meter --> 0.28 Cubic Meter No Conversion Required
Critical Pressure: 33500000 Pascal --> 33500000 Pascal No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B^{^} = (B*P_c)/([R]*T_c) --> (0.28*33500000)/([R]*647)

Evaluating ... ...

B^{^} = 1743.67030958388

STEP 3: Convert Result to Output's Unit

1743.67030958388 --> No Conversion Required

FINAL ANSWER

1743.67030958388 ≈ 1743.67 <-- Reduced Second Virial Coefficient

(Calculation completed in 00.020 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< Equation of States Calculators

Acentric Factor using Pitzer Correlations for Compressibility Factor

LaTeX Go Acentric Factor = (Compressibility Factor-Pitzer Correlations Coefficient Z(0))/Pitzer Correlations Coefficient Z(1)

Compressibility Factor using Pitzer Correlations for Compressibility Factor

LaTeX Go Compressibility Factor = Pitzer Correlations Coefficient Z(0)+Acentric Factor*Pitzer Correlations Coefficient Z(1)

Reduced Temperature

LaTeX Go Reduced Temperature = Temperature/Critical Temperature

Reduced Pressure

LaTeX Go Reduced Pressure = Pressure/Critical Pressure

Reduced Second Virial Coefficient using Second Virial Coefficient Formula

LaTeX Go

Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature)
B^{^} = (B*P_c)/([R]*T_c)

Why we use virial equation of state?

Since 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).

Why we modify the second virial coefficient to reduced second virial coefficient?

Since the tabular nature of the generalized compressibility-factor correlation is a disadvantage, but the complexity of the functions Z(0) and Z(1) precludes their accurate representation by simple equations. Nonetheless, we can give approximate analytical expression to these functions for a limited range of pressures. So we modify the second virial coefficient to reduced the second virial coefficient.

How to Calculate Reduced Second Virial Coefficient using Second Virial Coefficient?

Reduced Second Virial Coefficient using Second Virial Coefficient calculator uses Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature) to calculate the Reduced Second Virial Coefficient, The Reduced Second Virial Coefficient using Second Virial Coefficient formula is defined as the ratio of the product of the second virial coefficient and the critical pressure to the universal gas constant and the critical temperature. Reduced Second Virial Coefficient is denoted by B^{^} symbol.

How to calculate Reduced Second Virial Coefficient using Second Virial Coefficient using this online calculator? To use this online calculator for Reduced Second Virial Coefficient using Second Virial Coefficient, enter Second Virial Coefficient (B), Critical Pressure (P_c) & Critical Temperature (T_c) and hit the calculate button. Here is how the Reduced Second Virial Coefficient using Second Virial Coefficient calculation can be explained with given input values -> 0.011347 = (0.28*33500000)/([R]*647).

FAQ

What is Reduced Second Virial Coefficient using Second Virial Coefficient?

The Reduced Second Virial Coefficient using Second Virial Coefficient formula is defined as the ratio of the product of the second virial coefficient and the critical pressure to the universal gas constant and the critical temperature and is represented as B^{^} = (B*P_c)/([R]*T_c) or Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature). The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature & Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

How to calculate Reduced Second Virial Coefficient using Second Virial Coefficient?

The Reduced Second Virial Coefficient using Second Virial Coefficient formula is defined as the ratio of the product of the second virial coefficient and the critical pressure to the universal gas constant and the critical temperature is calculated using Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature). To calculate Reduced Second Virial Coefficient using Second Virial Coefficient, you need Second Virial Coefficient (B), Critical Pressure (P_c) & Critical Temperature (T_c). With our tool, you need to enter the respective value for Second Virial Coefficient, Critical Pressure & Critical Temperature 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 Reduced Second Virial Coefficient?

In this formula, Reduced Second Virial Coefficient uses Second Virial Coefficient, Critical Pressure & Critical Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

Reduced Second Virial Coefficient = Pitzer Correlations Coefficient B(0)+Acentric Factor*Pitzer Correlations Coefficient B(1)
Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure

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