Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters 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 of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+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 using Clausius Equation given Actual and Critical Parameters [T'_c]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
T'_c = ((p+(a/(((V_m+c)^2))))*((V_m-b')/[R]))/T_rg
This formula uses 1 Constants, 7 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.
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.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

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
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T'_c = ((p+(a/(((V_m+c)^2))))*((V_m-b')/[R]))/T_rg --> ((800+(0.1/(((22.4+0.0002)^2))))*((22.4-0.00243)/[R]))/300

Evaluating ... ...

T'_c = 7.18349109923257

STEP 3: Convert Result to Output's Unit

7.18349109923257 Kelvin --> No Conversion Required

FINAL ANSWER

7.18349109923257 ≈ 7.183491 Kelvin <-- Critical Temperature For Clausius Model

(Calculation completed in 00.004 seconds)

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

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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 using Clausius Equation given Actual and Critical Parameters Formula

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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 using Clausius Equation given Actual and Critical Parameters?

Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters calculator uses 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 to calculate the Critical Temperature For Clausius Model, The Critical Temperature of real gas using Clausius equation given actual and critical 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 of Real Gas using Clausius Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters, enter Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c), Clausius Parameter b for Real Gas (b') & Temperature of Real Gas (T_rg) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters calculation can be explained with given input values -> 25.3535 = ((800+(0.1/(((22.4+0.0002)^2))))*((22.4-0.00243)/[R]))/300.

FAQ

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

The Critical Temperature of real gas using Clausius equation given actual and critical parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T'_c = ((p+(a/(((V_m+c)^2))))*((V_m-b')/[R]))/T_rg or 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. 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 & Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

How to calculate Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters?

The Critical Temperature of real gas using Clausius equation given actual and critical 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 = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas. To calculate Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters, you need Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c), Clausius Parameter b for Real Gas (b') & Temperature of Real Gas (T_rg). 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 & Temperature 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 Pressure, Clausius Parameter a, Molar Volume, Clausius Parameter c, Clausius Parameter b for Real Gas & Temperature 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]))/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
Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)

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