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

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+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%
✖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%
✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+10% -10%
✖Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter c [c]			+10% -10%

✖Clausius parameter b is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas [b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2)))))
b = V_m-(([R]*T_rg)/(p+(a/(T_rg*((V_m+c)^2)))))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Clausius Parameter b - Clausius parameter b is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
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.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

STEP 1: Convert Input(s) to Base Unit

Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Clausius Parameter c: 0.0002 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = V_m-(([R]*T_rg)/(p+(a/(T_rg*((V_m+c)^2))))) --> 22.4-(([R]*300)/(800+(0.1/(300*((22.4+0.0002)^2)))))

Evaluating ... ...

b = 19.2820765207816

STEP 3: Convert Result to Output's Unit

19.2820765207816 --> No Conversion Required

FINAL ANSWER

19.2820765207816 ≈ 19.28208 <-- Clausius Parameter b

(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)

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

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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 Pressure, Temperature and Molar Volume of Real Gas?

Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas calculator uses Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))) to calculate the Clausius Parameter b, The Clausius parameter b given Pressure, Temperature and Molar Volume of real gas formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter b is denoted by b symbol.

How to calculate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas using this online calculator? To use this online calculator for Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas, enter Molar Volume (V_m), Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter c (c) and hit the calculate button. Here is how the Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas calculation can be explained with given input values -> 21.51659 = 22.4-(([R]*300)/(800+(0.1/(300*((22.4+0.0002)^2))))).

FAQ

What is Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

The Clausius parameter b given Pressure, Temperature and Molar Volume of real gas formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas and is represented as b = V_m-(([R]*T_rg)/(p+(a/(T_rg*((V_m+c)^2))))) or Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))). Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

How to calculate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

The Clausius parameter b given Pressure, Temperature and Molar Volume of real gas formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas is calculated using Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))). To calculate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas, you need Molar Volume (V_m), Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter c (c). With our tool, you need to enter the respective value for Molar Volume, Temperature of Real Gas, Pressure, Clausius Parameter a & Clausius Parameter c 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 Clausius Parameter b?

In this formula, Clausius Parameter b uses Molar Volume, Temperature of Real Gas, Pressure, Clausius Parameter a & Clausius Parameter c. We can use 2 other way(s) to calculate the same, which is/are as follows -

Clausius Parameter b = Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas))
Clausius Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Clausius Parameter a/((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2)))))

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