Temperature of Real Gas using Clausius Equation Calculator

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

✖Temperature given CE is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas using Clausius Equation [T_CE]

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Formula

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Temperature of Real Gas using Clausius Equation

Formula

`"T"_{"CE"} = ("p"+("a"/((("V"_{"m"}+"c")^2))))*(("V"_{"m"}-"b'")/"[R]")`

Example

`"2155.047K"=("800Pa"+("0.1"/((("22.4m³/mol"+"0.0002")^2))))*(("22.4m³/mol"-"2.43E^-3")/"[R]")`

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Download Clausius Model of Real Gas Formula PDF

Temperature of Real Gas using Clausius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given CE - (Measured in Kelvin) - Temperature given CE 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.
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.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Clausius Parameter b for Real Gas - Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

STEP 1: Convert Input(s) to Base Unit

Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Clausius Parameter c: 0.0002 --> No Conversion Required
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_CE = (p+(a/(((V_m+c)^2))))*((V_m-b')/[R]) --> (800+(0.1/(((22.4+0.0002)^2))))*((22.4-0.00243)/[R])

Evaluating ... ...

T_CE = 2155.04732976977

STEP 3: Convert Result to Output's Unit

2155.04732976977 Kelvin --> No Conversion Required

FINAL ANSWER

2155.04732976977 ≈ 2155.047 Kelvin <-- Temperature given CE

(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 4 Pressure and Temperature of Real Gas Calculators

Pressure of Real Gas using Clausius Equation given Reduced and Critical Parameters

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

Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters

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

Pressure of Real Gas using Clausius Equation

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

Temperature of Real Gas using Clausius Equation

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

< 19 Important Formulae on Clausius Model of Real Gas Calculators

Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters

Reduced Temperature of Real Gas using Clausius Equation given Reduced and Actual Parameters

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

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters

Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas

Critical Molar Volume using Clausius Equation given Actual and Critical Parameters

Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume

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

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

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

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

Clausius Parameter b given Reduced and Actual Parameters

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

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

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

Temperature of Real Gas using Clausius Equation

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

Molar Volume of Real Gas using Clausius Equation

Go Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas

Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters

Go Volume of Real Gas given CP = (Clausius Parameter b for Real Gas+(([R]*Critical Temperature For Clausius Model)/(4*Critical Pressure of Real Gas)))*Reduced Volume

Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters

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

Actual Volume of Real Gas using Clausius Parameter c, Reduced and Critical Parameters

Go Volume of Real Gas given CP = (((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)*Reduced Molar Volume for Real Gas

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

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

Clausius Parameter c given Critical Parameters

Go Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume

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

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

Actual Temperature of Real Gas using Critical and Reduced Temperature

Go Temperature given RT = Reduced Temperature*Critical Temperature For Clausius Model

Reduced Pressure of Real Gas using Actual and Critical Pressure

Go Reduced Pressure given RP AP = Pressure of Gas/Critical Pressure of Real Gas

Critical Pressure of Real Gas using Actual and Reduced Pressure

Go Critical Pressure given RP = Pressure/Reduced Pressure

Temperature of Real Gas using Clausius Equation Formula

Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R])
T_CE = (p+(a/(((V_m+c)^2))))*((V_m-b')/[R])

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 Temperature of Real Gas using Clausius Equation?

Temperature of Real Gas using Clausius Equation calculator uses Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]) to calculate the Temperature given CE, The Temperature of real gas using Clausius equation formula is defined as the degree or intensity of heat present in a substance or object. Temperature given CE is denoted by T_CE symbol.

How to calculate Temperature of Real Gas using Clausius Equation using this online calculator? To use this online calculator for Temperature of Real Gas using Clausius Equation, enter Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c) & Clausius Parameter b for Real Gas (b') and hit the calculate button. Here is how the Temperature of Real Gas using Clausius Equation calculation can be explained with given input values -> 2140.848 = (800+(0.1/(((22.4+0.0002)^2))))*((22.4-0.00243)/[R]).

FAQ

What is Temperature of Real Gas using Clausius Equation?

The Temperature of real gas using Clausius equation formula is defined as the degree or intensity of heat present in a substance or object and is represented as T_CE = (p+(a/(((V_m+c)^2))))*((V_m-b')/[R]) or Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]). 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, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

How to calculate Temperature of Real Gas using Clausius Equation?

The Temperature of real gas using Clausius equation formula is defined as the degree or intensity of heat present in a substance or object is calculated using Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]). To calculate Temperature of Real Gas using Clausius Equation, you need Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c) & Clausius Parameter b for Real Gas (b'). With our tool, you need to enter the respective value for Pressure, Clausius Parameter a, Molar Volume, Clausius Parameter c & Clausius Parameter b for Real Gas 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 Temperature given CE?

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

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

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