Critical Temperature 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%

✖Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.ⓘ Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters [T'_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3)
T'_c = ((a*64*(p/P_r))/(27*([R]^2)))^(1/3)
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T'_c = ((a*64*(p/P_r))/(27*([R]^2)))^(1/3) --> ((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3)

Evaluating ... ...

T'_c = 1.50793497115397

STEP 3: Convert Result to Output's Unit

1.50793497115397 Kelvin --> No Conversion Required

FINAL ANSWER

1.50793497115397 ≈ 1.507935 Kelvin <-- Critical Temperature For Clausius Model

(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)

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

LaTeX Go

Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3)
T'_c = ((a*64*(p/P_r))/(27*([R]^2)))^(1/3)

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 a, Reduced and Actual Parameters?

Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters calculator uses Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3) to calculate the Critical Temperature For Clausius Model, The Critical Temperature given Clausius parameter a, reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature For Clausius Model is denoted by T'_c symbol.

How to calculate Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters, enter Clausius Parameter a (a), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters calculation can be explained with given input values -> 1.507935 = ((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3).

FAQ

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

The Critical Temperature given Clausius parameter a, 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 = ((a*64*(p/P_r))/(27*([R]^2)))^(1/3) or Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3). 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.

How to calculate Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters?

The Critical Temperature given Clausius parameter a, 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 For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3). To calculate Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters, you need Clausius Parameter a (a), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Clausius Parameter a, Pressure & Reduced Pressure 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 Critical Temperature For Clausius Model?

In this formula, Critical Temperature For Clausius Model uses Clausius Parameter a, Pressure & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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