Critical Temperature of Real Gas given Clausius Parameter a Calculator

✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+10% -10%
✖Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas [P'_c]			+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 of Real Gas given Clausius Parameter a [T'_c]

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Critical Temperature of Real Gas given Clausius Parameter a Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)
T'_c = ((a*64*P'_c)/(27*([R]^2)))^(1/3)
This formula uses 1 Constants, 3 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.
Critical Pressure of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.

STEP 1: Convert Input(s) to Base Unit

Clausius Parameter a: 0.1 --> No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T'_c = ((a*64*P'_c)/(27*([R]^2)))^(1/3) --> ((0.1*64*4600000)/(27*([R]^2)))^(1/3)

Evaluating ... ...

T'_c = 25.0785192655052

STEP 3: Convert Result to Output's Unit

25.0785192655052 Kelvin --> No Conversion Required

FINAL ANSWER

25.0785192655052 ≈ 25.07852 Kelvin <-- Critical Temperature For Clausius Model

(Calculation completed in 00.015 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 of Real Gas given Clausius Parameter a Formula

LaTeX Go

Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)
T'_c = ((a*64*P'_c)/(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 of Real Gas given Clausius Parameter a?

Critical Temperature of Real Gas given Clausius Parameter a calculator uses Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3) to calculate the Critical Temperature For Clausius Model, The Critical Temperature of real gas given Clausius parameter a 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 of Real Gas given Clausius Parameter a using this online calculator? To use this online calculator for Critical Temperature of Real Gas given Clausius Parameter a, enter Clausius Parameter a (a) & Critical Pressure of Real Gas (P'_c) and hit the calculate button. Here is how the Critical Temperature of Real Gas given Clausius Parameter a calculation can be explained with given input values -> 25.07852 = ((0.1*64*4600000)/(27*([R]^2)))^(1/3).

FAQ

What is Critical Temperature of Real Gas given Clausius Parameter a?

The Critical Temperature of real gas given Clausius parameter a 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'_c)/(27*([R]^2)))^(1/3) or Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3). Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Critical Temperature of Real Gas given Clausius Parameter a?

The Critical Temperature of real gas given Clausius parameter a 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*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3). To calculate Critical Temperature of Real Gas given Clausius Parameter a, you need Clausius Parameter a (a) & Critical Pressure of Real Gas (P'_c). With our tool, you need to enter the respective value for Clausius Parameter a & Critical Pressure of 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 Critical Temperature For Clausius Model?

In this formula, Critical Temperature For Clausius Model uses Clausius Parameter a & Critical Pressure of Real Gas. 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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