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

✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+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%
✖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%

✖Temperature given RP is the degree or intensity of heat present in a substance or object.ⓘ Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters [T_RP]

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

Formula

`"T"_{"RP"} = ((("a"*64*("p"/"P"_{"r"}))/(27*("[R]"^2)))^(1/3))*"T"_{"r"}`

Example

`"15.07935K"=((("0.1"*64*("800Pa"/"0.8"))/(27*("[R]"^2)))^(1/3))*"10"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
T_RP = (((a*64*(p/P_r))/(27*([R]^2)))^(1/3))*T_r
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature given RP - (Measured in Kelvin) - Temperature given RP is the degree or intensity of heat present in a substance or object.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Clausius Parameter a: 0.1 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_RP = (((a*64*(p/P_r))/(27*([R]^2)))^(1/3))*T_r --> (((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3))*10

Evaluating ... ...

T_RP = 15.0793497115397

STEP 3: Convert Result to Output's Unit

15.0793497115397 Kelvin --> No Conversion Required

FINAL ANSWER

15.0793497115397 ≈ 15.07935 Kelvin <-- Temperature given RP

(Calculation completed in 00.004 seconds)

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< 10+ Actual Temperature of Real Gas Calculators

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

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

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

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

Actual Temperature of Real Gas given Clausius Parameter b, Actual and Critical Parameters

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

Actual Temperature of Real Gas given Clausius Parameter c, Actual and Critical Parameters

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

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

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

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

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

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

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

Go Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model

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

Go Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))*Reduced Temperature

Actual Temperature of Real Gas using Critical and Reduced Temperature

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

< 19 Important Formulae on Clausius Model of Real Gas Calculators

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])

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)

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

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)))

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

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

Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
T_RP = (((a*64*(p/P_r))/(27*([R]^2)))^(1/3))*T_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 Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters?

Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters calculator uses Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature to calculate the Temperature given RP, The Actual Temperature of real gas given Clausius parameter a, reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature given RP is denoted by T_RP symbol.

How to calculate Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters using this online calculator? To use this online calculator for Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters, enter Clausius Parameter a (a), Pressure (p), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters calculation can be explained with given input values -> 2.201585 = (((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3))*10.

FAQ

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

The Actual Temperature of real gas given Clausius parameter a, reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T_RP = (((a*64*(p/P_r))/(27*([R]^2)))^(1/3))*T_r or Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature. Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, 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 & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

How to calculate Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters?

The Actual Temperature of real gas given Clausius parameter a, reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature. To calculate Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters, you need Clausius Parameter a (a), Pressure (p), Reduced Pressure (P_r) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for Clausius Parameter a, Pressure, Reduced Pressure & Reduced Temperature 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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