Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters Calculator

✖Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter c [c]			+10% -10%
✖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%
✖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%

✖Critical temperature given RP 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 given Clausius Parameter c, Reduced and Actual Parameters [T_{c_RP}]

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Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R])
T_{c_RP} = ((c+(V_real/V_r))*8*(p/P_r))/(3*[R])
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical temperature given RP - (Measured in Kelvin) - Critical temperature given RP 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.
Clausius Parameter c - Clausius parameter c 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.
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

Clausius Parameter c: 0.0002 --> No Conversion Required
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)
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_{c_RP} = ((c+(V_real/V_r))*8*(p/P_r))/(3*[R]) --> ((0.0002+(0.022/0.0095))*8*(800/0.8))/(3*[R])

Evaluating ... ...

T_{c_RP} = 742.79868867777

STEP 3: Convert Result to Output's Unit

742.79868867777 Kelvin --> No Conversion Required

FINAL ANSWER

742.79868867777 ≈ 742.7987 Kelvin <-- Critical temperature given RP

(Calculation completed in 00.004 seconds)

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< Critical Temperature Calculators

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

LaTeX Go Critical Temperature For Clausius Model = (((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

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

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

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

Critical Temperature of Real Gas given Clausius Parameter a

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

< 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

Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters Formula

LaTeX Go

Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R])
T_{c_RP} = ((c+(V_real/V_r))*8*(p/P_r))/(3*[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 Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters?

Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters calculator uses Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]) to calculate the Critical temperature given RP, The Critical Temperature given Clausius parameter c, reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical temperature given RP is denoted by T_{c_RP} symbol.

How to calculate Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters, enter Clausius Parameter c (c), Volume of Real Gas (V_real), Reduced Volume (V_r), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters calculation can be explained with given input values -> 742.7987 = ((0.0002+(0.022/0.0095))*8*(800/0.8))/(3*[R]).

FAQ

What is Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters?

The Critical Temperature given Clausius parameter c, reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T_{c_RP} = ((c+(V_real/V_r))*8*(p/P_r))/(3*[R]) or Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]). Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas, 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, 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 Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters?

The Critical Temperature given Clausius parameter c, reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]). To calculate Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters, you need Clausius Parameter c (c), Volume of Real Gas (V_real), Reduced Volume (V_r), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Clausius Parameter c, Volume of Real Gas, Reduced Volume, 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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