Clausius Parameter b given Reduced and Actual Parameters Calculator

✖Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure.ⓘ Volume of Real Gas [V_real]			+10% -10%
✖Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume.ⓘ Reduced Volume [V_r]			+10% -10%
✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

✖Clausius Parameter b given RP is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b given Reduced and Actual Parameters [b_RP]

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Clausius Parameter b given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))
b_RP = (V_real/V_r)-(([R]*(T_rg/T_r))/(4*(p/P_r)))
This formula uses 1 Constants, 7 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Clausius Parameter b given RP - Clausius Parameter b given RP is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Volume of Real Gas - (Measured in Cubic Meter) - Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure.
Reduced Volume - (Measured in Cubic Meter) - Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion here)
Reduced Volume: 9.5 Liter --> 0.0095 Cubic Meter (Check conversion here)
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_RP = (V_real/V_r)-(([R]*(T_rg/T_r))/(4*(p/P_r))) --> (0.022/0.0095)-(([R]*(300/10))/(4*(800/0.8)))

Evaluating ... ...

b_RP = 2.25343100404806

STEP 3: Convert Result to Output's Unit

2.25343100404806 --> No Conversion Required

FINAL ANSWER

2.25343100404806 ≈ 2.253431 <-- Clausius Parameter b given RP

(Calculation completed in 00.004 seconds)

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< Clausius Parameter Calculators

Clausius Parametera given Reduced and Critical Parameters using Clausius Equation

LaTeX Go Clausius Parameter a = ((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))

Clausius Parameter given Pressure, Temperature and Molar Volume of Real Gas

LaTeX Go Clausius Parameter a = ((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b))-Pressure)*(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))

Clausius Parameter given Reduced and Actual Parameters

LaTeX Go Clausius Parameter a = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*(Pressure/Reduced Pressure))

Clausius Parameter given Critical Parameters

LaTeX Go Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure)

< Important Formulae on Clausius Model of Real Gas Calculators

Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters

LaTeX Go Pressure given b = (([R]*(Temperature of Real Gas/Reduced Temperature))/(4*((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)))*Reduced Pressure

Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters

LaTeX Go Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure

Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters

LaTeX Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature

Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters

LaTeX Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure

Clausius Parameter b given Reduced and Actual Parameters Formula

LaTeX Go

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Clausius Parameter b given Reduced and Actual Parameters?

Clausius Parameter b given Reduced and Actual Parameters calculator uses Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))) to calculate the Clausius Parameter b given RP, The Clausius parameter b given reduced and actual parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter b given RP is denoted by b_RP symbol.

How to calculate Clausius Parameter b given Reduced and Actual Parameters using this online calculator? To use this online calculator for Clausius Parameter b given Reduced and Actual Parameters, enter Volume of Real Gas (V_real), Reduced Volume (V_r), Temperature of Real Gas (T_rg), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Clausius Parameter b given Reduced and Actual Parameters calculation can be explained with given input values -> 2.298121 = (0.022/0.0095)-(([R]*(300/10))/(4*(800/0.8))).

FAQ

What is Clausius Parameter b given Reduced and Actual Parameters?

The Clausius parameter b given reduced and actual parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as b_RP = (V_real/V_r)-(([R]*(T_rg/T_r))/(4*(p/P_r))) or Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))). Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure, Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume, Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

How to calculate Clausius Parameter b given Reduced and Actual Parameters?

The Clausius parameter b given reduced and actual parameters formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas is calculated using Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))). To calculate Clausius Parameter b given Reduced and Actual Parameters, you need Volume of Real Gas (V_real), Reduced Volume (V_r), Temperature of Real Gas (T_rg), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Volume of Real Gas, Reduced Volume, Temperature of Real Gas, Reduced Temperature, Pressure & Reduced Pressure 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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